The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the side of the triangle is 8 more than the width of the rectangle. Which statements about this scenario are true if we use the variable w to represent the width of the rectangle? Check all that apply. The side of the triangle is w – 8. The length of the rectangle is 2w. A multistep equation will represent the scenario. A key word to identify is equal. A key word to identify is variable.

Answer:

Option A, y=8

Step-by-step explanation:

If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)

Also,

If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8

Hope that helps!!

Answer:

Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.

Step-by-step explanation:

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▹ Answer

(-2, 1)

▹ Step-by-Step Explanation

4x + 3y = -5

-2x + 2y = 6

4x + 3y = -5

x = -3 + y

4(-3 + y) + 3y = -5

y = 1

x = -3 + 1

x = -2

(x, y) = (-2, 1)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

x = -2

y = 1

Step-by-step explanation:

Solve for x in the second equation.

-2x = 6 - 2y

x = 6/-2 - 2/-2y

x = -3 + y

Put x as -3+y in the first equation and solve for y.

4(-3 + y) + 3y = -5

-12 + 4y + 3y = -5

-12 + 7y = -5

7y = -5 + 12

7y = 7

7/7y = 7/7

y = 1

Put y as 1 in the second equation and solve for x.

x = -3 + (1)

x = -2

Answer: flat rental fee of $2

Step-by-step explanation:

independent factor that does not change. Coeffocient 0.25 will be charge for late days

Answer:

Third option is correct.

Step-by-step explanation:

Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.

Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.

Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.

Answer:

Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.

You can find more of this information on google if youd like.

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

Answer:

1²+3

Step-by-step explanation:

I'm not to sure I hope this helped.

Answer:

24

Step-by-step explanation:

33 + 11 - 10 ÷ 2 × 4

Division is first.

33 + 11 - 5 × 4

Multiplication.

33 + 11 - 20

Add or subtract.

44 - 20

= 24

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

Answer:

On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).

Step-by-step explanation:

h(x) = |x| + 0.5

Has its vertex at h(x) = 0, h(x) = |x| + 0.5

0 = |x| + 0.5

|x| = -0.5

So x = -0.5

So, the vertex is at (-0.5, 0)

The graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a) on a coordinate plane, an absolute value graph has a vertex at (0, 1.5)

The function is given as:

[tex]h(x) = |x| + 0.5[/tex]

An absolute function is represented as:

[tex]h(x) = |x - h| + k[/tex]

Where:

[tex]Vertex=(h,k)[/tex]

By comparison:

[tex](h,k) = (0,0.5)[/tex]

i.e. the vertex of function h(x) is (0,0.5)

Hence, the graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a)

Read more about absolute functions at:

https://brainly.com/question/7515527

Answer:

Step-by-step explanation:

[tex]x^2-5=-2x+3\\\\x^2+2x-8=0\\\\a=1\,,\ b=2\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{-2\pm\sqrt{4+32}}{2}=\dfrac{-2\pm\sqrt{36}}{2}=\dfrac{-2\pm6}{2}\\\\x_1=\dfrac{-2-6}2=\dfrac{-8}2=-4\\\\y_1=-2x_1+3=-2(-4)+3=8+3=11\\\\(-4\,,\ 11)\\\\x_2=\dfrac{-2+6}{2}=\dfrac{4}2=2\\\\y_2=-2x_2+3=-2\cdot2+3=-4+3=-1\\\\(2\,,\ -1)[/tex]

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

Answer: 45000

Step-by-step explanation:

From the question, we are informed that Patty buys a new car and gets it appraised every few years and that after owning the car for 3 years, its value is $15,000 and further told that after owning the car for 5 years, its value is $9,000.

Let the number of years be x

Let the value of the car be y.

From the first part of the question, we are told that after owning the car for 3 years, its value is $15,000.

Since an inverse variation will be:

x = k/y

3 = k/15000

k = 15000 × 3

k = 45000

Let's confirm the value of k for the second part of the question. After owning the car for 5 years, its value is $9,000. Here, x=5 and y = 9000

x = k/y

x = 45000/9000

x = 5

It's correct.

Therefore, the constant of proportionality is 45000

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

Answer:

Option B is the right option.

Here,

According to Question,

∆PNO ~ ∆ XYZ

i.e <PNO=<YXZ =37°

<PON= < YZX = 90°

hence, both triangles are similar by AA rule.

Hope this helps...

Good luck on your assignment....

Answer:

(B) There is no solution.

Step-by-step explanation:

Given the two lines A and B where:

[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]

The correct option is B.

Answer:

A

Step-by-step explanation:

Just took test, can I have Brainliest.

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

There are no restrictions as to what x can be in this function

In the function given, it can take any x variable without it causing any problems in the function when solved.

So, any value can be x (all real numbers)

Best of Luck!

Answer:

[tex]\boxed{\sf \ \ \ -\dfrac{4}{7} \ \ \ }[/tex]

Step-by-step explanation:

hello

[tex]64=16*4\\112=16*7\\so \\\dfrac{-64}{112}=-\dfrac{16*4}{16*7}=-\dfrac{4}{7}[/tex]

hope this helps

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

Answer:

B

Step-by-step explanation:

y=x^6-7

vertex is (0,-7)

x=y^6-7

y=6√x+7

inverse for vertex is (-7,0)

graph it and x values are greater than -7

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

D. 399

Step-by-step explanation:

3x19(19-12)

57x7=399

Answer:

x^4 -3x^3 - 18x^2

Step-by-step explanation:

f(x)= x-6

g(x)=x^2(x+3),

g(x) * f(x) = (x-6) * x^2(x+3)

                = x^2 ( x-6) ( x+3)

FOIL

                = x^2 ( x^2 +3x-6x-18)

 Combine like terms

                = x^2 ( x^2 -3x-18)

   Distribute

               = x^4 -3x^3 - 18x^2

Answer:

x⁴ - 3x³ - 18x²

Step-by-step explanation:

g(x) × f(x)

(x²(x + 3)) × (x - 6)

Expand brackets.

(x³ + 3x²)(x - 6)

x³(x - 6) + 3x²(x - 6)

x⁴ - 6x³ + 3x³ - 18x²

Combine like terms.

x⁴ - 3x³ - 18x²

Answer:

Option B

Step-by-step explanation:

f(t) = 5000

g(t) = 250t

h(t) = f(t) + g(t) = 5000 + 250t

After 5 years, the amount of money in the account is:

h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$

Answer:

-3/500, Celsius per meter

Step-by-step explanation:

Slope: [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

Slope = 25-13/ 200-2200= -12/2000=  -3/500

Rate of change. Celsius per meters (?) I'm not sure about that.

Answer:

D). Y = 4x -6

Step-by-step explanation:

Let's get the gradient of line MN

Gradient= (y2-y1)/(x2-x1)

Gradient=( 6-3)/(-7-5)

Gradient= 3/-12

Gradient= -1/4

For a line to be perpendicular to line MN , it gradient multiplied with line MN gradient will be equal to -1

MM'= -1

M = gradient of line MN

M' = gradient of the unknown line

MM'= -1

-1/4M'= -1

M' =( -1*4)/-1

M' = 4

So the line will have a gradient of 4

That is, the equation well be in the form of

Y= 4x +c

Where c can be a positive or negative intercept or constant.

The correct option is

D). Y = 4x -6

Answer:

the number less than -1.5 would be 0-1 so it would be A)

Answer:

Step-by-step explanation:

Let the number be x

Twice the difference of a number and 5 is written as

2( x - 5)

three times the sum of the number and 2 is written as

3( x + 2)

Equate them

We have

2(x - 5) = 3(x + 2)

Expand

2x - 10 = 3x + 6

Group like terms

2x - 3x = 16 + 10

- x = 16

Multiply through by - 1

x = - 16

Hope this helps you

Answer:

System of linear equations

[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]

a: adult ticket price and c: child ticket price

Step-by-step explanation:

This system of equations can be used to find the price of the adult and child tickets.

We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).

Let a: adult ticket price and c: child ticket price,

we have for the first day that 3 adult tickets and 1 child ticket adds $38:

[tex]3a+1c=38[/tex]

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

[tex]3a+2c=52[/tex]

If we write this as a system of equations, we have:

[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]