30 POINTS!! Write the slope-intercept form of the equation for the line.

30 POINTS!! Write The Slope-intercept Form Of The Equation For The Line.

Answers

Answer 1

Answer:

B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]

Step-by-step explanation:

Well slope-intercept form is [tex]y = ax + b[/tex].

Let's start with the slope.

In this case, finding the slope is easy.

It should have a negative slope.

So we can cross out answer choices A. and C.

Also, we can cross out D. because it just makes no sense, -10/3, if you start from the y-intercept and go down 10 and across 3, yeah that's

not the slope.

So we can cross out D.

The only answer choice left is B.

We can tell the y-intercept is 1/2 because like come on so B is the correct answer.

B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]

Answer 2

Looking at the graph, we can figure out our y-intercept or b simply by looking at the line to see where it intersects the y-axis.

So, we can see that the line intersects the y-axis at 1/2 or 0.5

That means, our y-intercept or b is 1/2 (0.5).

Now, to find out the slope of the line, we can pick two pairs of coordinates on the line and plug it into the slope equation to figure out the slope.

Let's use the two coordinate pairs: (-5, 2) and (0, 1/2).

Plug it in.

1/2 - 2 = - 1.5

0 - - 5 = 5

-1.5/5 = -0.3

Convert it into a fraction: -0.3 = -3/10

Thus, our slope intercept form for this line is: y = -3/10 + 1/2


Related Questions

A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1)

Answers

Answer: x=one-half y minus

Step-by-step explanation:

Answer:

x=1/2 y-3

Step-by-step explanation:

Please help me!!!!!! I do not understand...

Answers

Answer:

the second one........the shape of the conic section os circle

What is 5,000 - 245( 30/2))?

Answers

Answer:

1,325

Step-by-step explanation:

30 /2

= 155,000 - 245(15)

= 5,000 - 3,675

= 1,325

Answer:

1,325

Step-by-step explanation:

How many terms are in the expression shown?

2n + 5 – 3p + 4q

1
2
3
4

Answers

Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.

So in this expression, the terms are +2n, +5, -3p, and +4q.

This means that there are 4 terms.

The answer is D - 4 :)

Please answer this question now

Answers

Answer:

s = 11.4

Step-by-step explanation:

The following data were obtained from the question:

Angle S = 60°

Opposite S = s =?

Opposite U = u = 13

Opposite T = t = 5

Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:

s² = u² + t² – 2ut Cos S

s² = 13² + 5² – 2 × 13 × 5 × Cos 60

s² = 169 + 25 – 130 × 0.5

s² = 194 – 65

s² = 129

Take the square root of both side.

s = √129

s = 11.4

Therefore, the value of s is 11.4

Audrey charges a flat fee of $4 for each delivery plus a certain amount,in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount

Answers

4+1m?? I’m pretty sure

According to the rational root theorem, which of the following are possible
roots of the polynomial function below?
F(x) = 6x3 - 7x2 + 2x + 8

Answers

Answer:

18- 14+8=3x

4+8=3x

12=3x

12/3=2x/3

x=4

Answer:

2/3, -8, -1/6, 4.

Step-by-step explanation:

Step-by-step explanation:

The rational root theorem states that if the leading coefficient is taken to be an and the constant coefficient is taken to be a0 the possible roots of the equation can be expressed as :

Now, from the given options, the possible choices can be :

A, B, C and E

D can be there because after taking any pair the rational root can't be 3

F can't be possible because an does't have 4 in its factors so denominator cannot be 4.

HELP ME PLEASEEEE! Thank you

Answers

Answer:

A. Yes

B. Yes

C. No

Step-by-step explanation:

We can substitute each value in to the equation and see if the sides match up. Let's start with a.

[tex]4\cdot(2)-3 = -2\cdot(2)+9\\8-3 = -4+9\\5 = 5[/tex]

So, n = 2 works for equation a. Let's try B.

[tex]9\cdot(\frac{10}{3}) - 19 = 3\cdot(\frac{10}{3}) + 1\\\\\\\frac{90}{3} -19 = \frac{30}{3} + 1 \\ 30 - 19 = 10 + 1\\11 = 11[/tex]

So, m = [tex]\frac{10}{3}[/tex] works for B. Now let's try C.

[tex]3(30+8) = 2\cdot(30)-6\\3(38) = 60-6\\114 \neq 54[/tex]

So y = 30 doesn't work for C.

Hope this helped!

The text classifies information systems as either operations or management support information systems. Which one of the following would not be classified as an operations support system?
A. Transaction processing systems
B. Process control systems
C. Enterprise collaboration systems
D. Decision support systems

Answers

Answer:

D. Decision support systems

Step-by-step explanation:

Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.

It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.

There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:

1. Transaction Processing Systems

2. Process control system

3. Enterprise collaboration system

4. Enterprise Resource

Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.

Andrew's bicycle has tires with a radius of 7 inches. What is the area of one of the bicycle tires, in terms of π?

Answers

Answer:

49π

Step-by-step explanation:

The formula for the area of a circle is,

[tex]\pi r^2[/tex]

If the radius is 7 inches we need to plug that in for r in the formula.

π(7)^2

7*7 = 49

Thus,

the area in terms of pi is 49π.

Hope this helps :)

Answer:

49π

Step-by-step explanation:

[tex]r = 7\\A = ?\\A =\pi r^2\\A =\pi7^2\\A = 49\pi[/tex]

Find the product. (5p + 2)2^

Answers

Answer:

25p^2 + 4 + 20p

Step-by-step explanation:

(5p + 2)^2 = (5p)^2 + (2)^2 + 2 × 5p × 2

= 25p^2 + 4 + 20p

HELP PLEASEEEEEEEEEEEEE! Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 cm. The cylinder has a radius of 3.3 cm and a height of 10 cm. Determine which container uses less material to make and find out which container holds more soup. Create a design for each container shape. Be sure to name your soup!

Answers

Answer:

Step-by-step explanation:

Use the following formulas:

surface area of rectangular prism: A = 2wl + 2lh + 2hw

volume of rectangular prism: lwh

surface area of cylinder: A=2πrh+2πr^2

volume of cylinder: V=πr^2h

using these formulas, the surface area of the box is 424.3

the volume of the box is about 511.3

the surface area of the cylinder is about 275.77

the volume is 342.12

knowing this, the cylinder uses less material but the box holds more soup.

If –3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

Answers

Answer:

Step-by-step explanation:

REcall that f(x) is a polynomial whose one of its roots is -3+i. The fundamental algebra theorem states that any polynomial of degree n has n complex roots. In the real case, it can be also interpreted as any polynomial can be factored in factors of degree at most 2.

Consider that given a polynomial of degree 2 of the form [tex]ax^2+bx+c[/tex] the solutions are given by

[tex] x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}[/tex]

In this case, the fact that x is real or complex depends on the number [tex]b^2-4ac[/tex] which is called the discriminant. When this number is negative, we have that x is a complex root. Let say that [tex]b^4-4ac<0[/tex] and that [tex]\sqrt[]{b^4-4ac}=di[/tex], so the roots are given by

[tex] x_1 = \frac{-b + di}{2a}, x_2 = x_1 = \frac{-b - di}{2a}[/tex]

this means that, whenever we have a complex root, the other root is the complex conjugate. Recall that the complex conjugate of a complex number of the form a+bi is obtained by changing the sign of the imaginary part, that is a-bi.

So, in our case since -3+i is a root, then -3-i necessarily is another root.

If -3 + i is a root then -3 - i is too.

Therefore, the answer is -3 - i

verify the trigonometric identity: tan(2π - x) = tan(-x)

Answers

Answer:

See Below

Step-by-step explanation:

Taking Right Hand Side to verify the identity:

tan ( 2π - x)

Resolving Parenthesis

tan 2π + tan (-x)

We know that tan 2π = 0

0 + tan (-x)

=> tan(-x) = Left Hand Side

Hence Proved

Answer:

[tex]\boxed{ \sf {view \: explanation}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow \sf tan ( 2\pi - x)=tan(-x)[/tex]

[tex]\sf Apply \ distributive \ law.[/tex]

[tex]\Rightarrow \sf tan (2\pi) + tan (-x) =tan(-x)[/tex]

[tex]\sf Apply : tan(2\pi) =0[/tex]

[tex]\Rightarrow \sf 0 + tan (-x) =tan(-x)[/tex]

[tex]\Rightarrow \sf tan (-x) =tan(-x)[/tex]

[tex]\sf Hence \ verified.[/tex]

heLp would be appreciated for the image below :))

Answers

Answer:

A

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → A

Calculate the shaded region

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

First find the area of the sector.

For that, use this equation:

area = [tex]\frac{x }{360} * \pi r^{2}[/tex]

where 'x' is the angle and 'r' is the radius

Sub the values in

area = [tex]\frac{56}{360} * \pi15^2[/tex]

Solve:

area = [tex]35\pi[/tex]

It is easier to keep it in terms of pi until the end

Now, calculate the area of the triangle within the sector

area = 1/2 ab x sinC

where 'a' and 'b' are the radius (side lengths) and C is the angle

thus,

area = 1/2(15 x 15) x sin(56)

area = 93.27 (to 2 d.p)

Now subtract the area of the triangle from the area of the sector

[tex]35\pi[/tex] - 93.27 = 16.6857

This would give you a final answer of 16.69 units^2

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

A television set costs $350 cash. When bought on hire purchse, a deposit of $35 is required, followed by 12 monthly payments of $30. How much is saved by paying cash?

Answers

Answer:

$45

Step-by-step explanation:

find the hire purchase price: 12 months x $30 = $360 + $35 deposit = $395

difference: 395 - 350 = $45

find the hire price: 12 months x $30 = $360+$35 deposit =$395

395 - 350 = $45

Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true? This triangle exists because the sum of any two side lengths is greater than the length of the third side. This triangle exists because the sum of 4 and 12 is less than 17. This triangle does not exist because the sum of any two side lengths is greater than the length of the third side. This triangle does not exist because the sum of 4 and 12 is less than 17.

Answers

Answer:

The triangle inequality states that the sum of the lengths of the two shortest sides of a triangle must be greater than the length of the largest side. Because 4 + 12 > 17 is not a true statement, the answer is "This triangle does not exist because the sum of 4 and 12 is less than 17."

Answer:

This triangle does not exist due to the fact that the sum of 4 and 12 is less than 17

Step-by-step explanation:

The triangle formaction rule states that the 2 smaller sides must be able to combine and be greater than the greatest side.

Triangle

Sides - 3, 4, 5

3+4=7

Meaning the two smaller sides add up to because greater than 5.

Non-Triangle

Sides - 5, 6, 13

5+6=11

This means that this is not a triangle because the smaller sides ‘5 and 6’ do not add up to become greater than 13.

Gemma’s Triangle

Sides - 4, 12, 17

4+12=16

Hence, Gemma‘s figure is not a triangle because the 2 smaller sides ‘4 and 12’ don‘t add up to be greater than 17.

how many digits are in the decimal expansion of 2^34

Answers

Answer:

2^34 = 17179869184

I hope this helps :)

The number of people contacted at each level of a phone tree can be represented by f(x) = 3^x where x represents the level.
What is x when f(x) = 27?
A. X = 2; At level 2, 27 people will be contacted.
B. x = 24; At level 24, 27 people will be contacted.
C. x = 3; At level 3, 27 people will be contacted.
D. x = 9; At level 9,27 people will be contacted.

Answers

Answer:

3

Step-by-step explanation:

Answer:

c is the correct answer

Step-by-step explanation:

3. In the diagram, PRST and PQWV are rectangles. Q, V
and U are midpoints of PR, PU and PT respectively.
Find the area of the shaded region.​

Answers

Answer: 122.5 square cm

======================================================

Work Shown:

A = area of trapezoid RSTU

A = height*(base1+base2)/2

A = ST*(UT+RS)/2

A = 14*(5+10)/2

A = 105 square cm

-----------------------

B = area of rectangle PQWV

B = length*width

B = WV*PV

B = 7*2.5

B = 17.5 square cm

If you're curious how I got PV = 2.5, you basically cut PT = 10 in half twice. So you go from 10 to 5, then from 5 to 2.5; which works because we have a bunch of midpoints.

-----------------------

C = total shaded area

C = A + B

C = 105 + 17.5

C = 122.5

What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?

Answers

Hi,

Answer:

[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°

Have a good day.

Which equation represents a line that is perpendicular to line FG? A. y=-1/2x+5 B. y=1/2x+2 C. y=-2x-3 D. y=2x-6

Answers

The equation of line which is perpendicular to the line FG is

y = -2x -3.

What is equation of line?

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Formula for finding the equation of line from two points [tex](x_{1} ,y_{1} ) and (x_{2}, y_{2} )[/tex]

[tex](y -y_{1}) = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } (x-x_{1} )[/tex]

What is the slope of two perpendicular lines?

If [tex]m_{1}[/tex] be the slope of one line, then the slope of the perpendicular line is [tex]\frac{-1}{m_{1} }[/tex].

What is the slope intercept form of a line ?

The slope intercept form of the line is given by  y = mx + b

Where, m is the slope of a line.

According to the given question

We have a line FG and the coordinates of points F and G are (-5,1) and (9,8) respectively.

Therefore, the slope of the line FG = [tex]\frac{8-1}{9+5}=\frac{7}{14} =\frac{1}{2}[/tex]

⇒ The slope of the line which is parallel to line FG is -2

Now, from the given option of the equation of line , y = -2x -3 has a slope of -2 .

Hence, the equation of line which is perpendicular to the line FG is

y = -2x -3.

Learn more about the equation of a perpendicular line here:

https://brainly.com/question/20712656

#SPJ2

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minus 9 x EndFraction minus StartFraction x + 1 Over x squared minus 9 EndFraction StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction

Answers

Answer:

[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]

First option is the correct option.

Step-by-step explanation:

[tex] \frac{2x + 5}{ {x}^{2} - 3x } - \frac{3x + 5}{ {x}^{3} - 9x } - \frac{x + 1}{ {x}^{2} - 9 } [/tex]

Factor out X from the expression

[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x( {x}^{2} - 9)} - \frac{x + 1}{ {x}^{2} - 9} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] , factor the expression

[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x(x - 3)(x + 3) } - \frac{x + 1}{(x - 3)(x + 3)} [/tex]

Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

[tex] \frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]

Multiply the parentheses

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)} [/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]

Distribute -x through the parentheses

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x }{x(x - 3)(x + 3)} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex] , simplify the product

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x}{x( {x}^{2} - 9)} [/tex]

Collect like terms

[tex] \frac{ {x}^{2} + 7x + 15 - 5}{x( {x}^{2} - 9)} [/tex]

Subtract the numbers

[tex] \frac{ {x}^{2} + 7x + 10}{ x({x}^{2} - 9)} [/tex]

Distribute x through the parentheses

[tex] \frac{ {x}^{2} + 7x + 10}{ {x}^{3} - 9x} [/tex]

Write 7x as a sum

[tex] \frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x } [/tex]

Factor out X from the expression

[tex] \frac{x(x + 5) + 2x + 10}{ {x}^{3} - 9x} [/tex]

Factor out 2 from the expression

[tex] \frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x } [/tex]

Factor out x + 5 from the expression

[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]

Hope this helps...

Best regards!!

The difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

The expression is given as:

[tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex]

Factorize the denominators

[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x^2 - 9)} - \frac{x + 1}{x^2 - 9}[/tex]

Apply the difference of two squares to the denominators

[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x - 3)(x + 3)} - \frac{x + 1}{(x - 3)(x + 3)}[/tex]

Take LCM

[tex]\frac{(2x + 5)(x + 3) - 3x - 5 -x(x + 1) }{x(x - 3)(x + 3)}[/tex]

Expand the numerator

[tex]\frac{2x^2 +6x + 5x + 15 - 3x - 5 -x^2 - x }{x(x - 3)(x + 3)}[/tex]

Collect like terms

[tex]\frac{2x^2 -x^2 - x +6x + 5x - 3x+ 15 - 5 }{x(x - 3)(x + 3)}[/tex]

Simplify

[tex]\frac{x^2+7x+ 10 }{x(x - 3)(x + 3)}[/tex]

Factorize the numerator

[tex]\frac{(x+5)(x+ 2) }{x(x - 3)(x + 3)}[/tex]

Expand the denominator

[tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

Hence, the difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

please help ASAP. Which statement below is NOT true for the graph of a quadratic function? a) the axis of symmetry intersects the parabola at the vertex b) when the coefficient of x^2 is positive, the vertex of the parabola is a minimum point c)The vertex of a parabola is its highest or lowest level d) the parabola is symmetrical about the y-axis

Answers

Answer:

Step-by-step explanation:

All of these statements about a vertical parabola with known vertex are true.

The statement which is not always true about the graph of a quadratic function is option d) the parabola is symmetrical about the y-axis.

What is Parabola?

A parabola is a open U shaped curve on a plane where all the points on the curve will be at an equal distance from a fixed point called focus and a fixed line called directrix.

Vertex of a parabola is the point where the parabola intersects with it's line of symmetry. So the vertex will always lie at the maximum point or the minimum point.

Axis of symmetry is the line that passes through the vertex of a parabola.

Graph of the quadratic equation will always be a parabola.

When the coefficient of x² is positive, then the vertex of the parabola will be at a minimum point and if the coefficient is negative, then the vertex will be at a maximum point.

The parabola is symmetrical to y axis only if the vertex of the parabola lies on the Y axis. So it will not be always true.

Hence the statement the parabola is symmetrical about the y-axis is not always true.

Learn more about Parabola here :

https://brainly.com/question/1440592

#SPJ3

You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number? A. 1/3 B. 1/2 C. 1/36 D. 1/6

Answers

Hey Mate !

Your Answer is given in the snip below !!

Please do mark me as brainliest !!!

(ANSWER=  (D)   [tex]\frac{1}{6}[/tex] )

Explanation

Answer:

You have a standard number cube.

What is the probability of rolling a number less than 3, and then rolling a prime number?

D. 1/6

(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.

the length of the unknown side is ____

the perimeter of the triangle is ____

the area of the triangle is ___

Answers

Answer/Step-by-step explanation:

a. Unknown side, b, using the Pythagorean theorem is solved as shown below.

[tex] b^2 = c^2 - a^2 [/tex]

[tex] b^2 = 45^2 - 27^2 [/tex]

[tex] b^2 = 1,296 [/tex]

[tex]b = \sqrt{1,296}[/tex]

[tex] b = 36 [/tex]

Unknown side, b, = 36 km

b. Perimeter of the triangle = sum of all the sides of the ∆ = [tex] 36 + 45 + 27 [/tex]

[tex] perimeter = 108 km [/tex]

c. Area of triangle = ½*base*height

where,

Base = 36 km

Height = 27 km

[tex] Area = \frac{1}{2}*36*27 [/tex]

[tex] Area = 18*27 [/tex]

[tex] Area = 486 km^2 [/tex]

Instructions: Find the missing side. Round your answer to the
nearest tenth

Answers

Answer:

x = 64

Step-by-step explanation:

To find x we use tan

tan∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 30

So we have

tan 25° = 30/x

x tan 25 = 30

Divide both sides by tan 25

x = 30/tan 25

x = 64.34

x = 64 to the nearest tenth

Hope this helps you

WILL GIVE BRANLIEST AND 20 POINTS!!

List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)

Answers

Step-by-step explanation:

The coordinates of the feasible region are:(In clockwise direction)

(200, 200)

(300, 200)

(500, 0)

(300, 0)

Graph this compound inequality: 2.5 < x < 4.5
-5 4
-3
-2
-1 0
+ ++ +
1 2 3 4 5
o
Drag a point to the number line.

Answers

Answer:

Please find the attached the required inequality graph

Step-by-step explanation:

Given that inequality is 2.5 ≤ x ≤ 4.5, we have;

The region in the given inequality is the region between 2.5 and 4.5 inclusive

Therefore, to represent 2.5 ≤ x ≤ 4.5 on the number line, we have;

A closed circle (representing the less than or equal to inequality symbol, showing inclusiveness) at 2.5, another closed circle at 4.5 (representing the less than or equal to inequality symbol, showing inclusiveness) and the region between 4.5 and 2.5 shaded.

Other Questions
A hot lump of 27.4 g of aluminum at an initial temperature of 69.5 C is placed in 50.0 mL H2O initially at 25.0 C and allowed to reach thermal equilibrium. What is the final temperature of the aluminum and water, given that the specific heat of aluminum is 0.903 J/(gC)? Assume no heat is lost to surroundings. Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs. Read the first three paragraphs of Franklin Roosevelt's request for a declaration of war.Beyond Congress, who is his primary intended audience?A. the American publicB. the Japanese peopleC. American and Japanese diplomatsD. other countries that might be at risk What is the equation of the circle shown below? True or False: Firms operating in more price-competitive industries, or exhibiting lower levels of market power, generally exhibit lower levels of business risk, all other things being equal. This statement is: True False Which transformation is needed to be used on x^2, to get the graph of f(x) = 2x2 - 12x + 22?Select one:O a. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 13 unitsO b. Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 unitsO c. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units O d. Shift right by 3 units and shift upwards by 4 unitsPlease I need help Which expression is equal to 5(2x^2-1)+3(7x^2+1) 17 women and 3 men attend a family reunion. What is the percentage of men with respect to the total number of parents? 1. 3% 2. 15% 3. 16% 4. 17% Identify the CRITICAL VALUES(S) used in a hypothesis test of the following claim and sample data:Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.a. -1.883 b. -1.645c. -1.96 d. -0.102 Suppose you know a company's stock currently sells for $90 per share and the required return on the stock is 8 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield. If it's the company's policy to always maintain a constant growth rate in its dividends, what is the current dividend per share? Draw the straight line y = x + 2 Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x What is cadence and list the types of cadence. Which accurately describes one impact of the atmosphere on Earths cycles? Match these items. Match the items in the left column to the items in the right column. 1. collusion agreement between two or more people to limit competition and earn higher profits 2. competition degree of excellence for something, such as a product 3. customer service money left after all expenses are paid 4. profit contest between rivals 5. quality service provided to consumers during and after the buying process The ability to see the connection between the larger world and your personal life is what sociologist Most states categorize possession of cocaine charges by weight. Possessing less than a gram will result in the lowest level of felony. From there, the weight categories are broken into degrees. The higher the weight, the higher degree of felony charged. New York State uses the measures given in the table below to charge a suspect.AmountChargeOver oz.Class C felonyOver oz.Class B felonyOver 2 oz.Class A-II felonyOver 4 oz.Class A-I felonyIf a suspect is in possession of .06 kilograms of cocaine how many ounces does he possess? What will be the charge? 3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.The deck is 8p meters wide. a) Find the polynomial that represents the length of the deck.b) Find the polynomial that represents the perimeter of the deck. On January 1, 2014, Pert Company purchased 85% of the outstanding common stock of Sales Company for $350,000. On that date. Sales Company's stockholders' equity consisted of common stock, $100,000; other contributed capital, $40,000; and retained earnings, $140,000. Pert Company paid more than the book value of net assets acquired because the recorded cost of Sales Company's land was significantly less than its fair value. During 2014 Sales Company earned $148,000 and declared and paid a $50,000 dividend. Pert Company used the partial equity method to record its investment in Sales Company. Required: 1. Prepare the investment-related entries on Pert Company's books for 2014. 2. Prepare the working paper eliminating entries for a working paper on December 31, 2014. Write the function in standard form.Y=(3x-2)(3x+6)