A right angled triangle has hypotenuse 9cm and sides (x+5) and (x-3)cm. calculate x

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Explanation:

First we need the slope

[tex](x_1,y_1) = (-4,2) \text{ and } (x_2,y_2) = (3,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 2}{3 - (-4)}\\\\m = \frac{-5 - 2}{3 + 4}\\\\m = \frac{-7}{7}\\\\m = -1\\\\[/tex]

Then we can find the y intercept using the coordinates of (x,y) = (-4,2)

y = mx+b

2 = -1(-4)+b

2 = 4+b

2-4 = b

-2 = b

b = -2

Alternatively, you can use the other point (x,y) = (3,-5) and m = -1.

Because m = -1 and b = -2, we go from y = mx+b to y = -1x+(-2) which simplifies to y = -x-2

[tex]============================[/tex]

First, let's use the Slope Formula to find the slope:

[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]

[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]

Which simplifies to

[tex]\pmb{1}[/tex]

So the slope is 1.

Now, here's a point that the line passes through:

(0, 1)

Write the equation in point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

y-1=1(x-0)

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Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

D. 30

Step-by-step explanation:

Notice how $2 buys 6 packets. This means that if Sandra had $1, she could buy 3 packets.

If she had $10, you must multiply 3 (packets) by 10. Sandra can buy 30 packets with $10.

Answer:

The answer is 20 (I think)

Step-by-step explanation:

The question says 6 tomato seeds at $2

So, 10*2=20

hence proved

Answer: 1

Step-by-step explanation:

Answer:

240 cm³

Step-by-step explanation:

Volume of prism= base area ×height

The base is a rectangle here, and its area has the formula of length ×breadth.

Given

length of base= 10 cm

breadth of base= 6 cm

height of prism= 4 cm

Base area

= 10(6)

= 60 cm²

Volume of prism

= 60(4)

= 240 cm³

Answer:

240 cm³

Step-by-step explanation:

Volume of a rectangular prism: l*w*h

V = l*w*h  <== substitute the numbers (above) for the variables

V = 10*6*4

V = 60*4

V = 240 cm³ (cubed)

Hope this helps!

Answer:

7pm

Step-by-step explanation:

1pm + 24 = 1pm

30 - 24. = 6

1pm + 6 = 7pm

Answer:

1) the connection between 2 or more meausures

2) when the r value is closer to 1 or -1 it is a stronger correlation

3) positive correlation would be height and weight. Taller people tend to be heavier. A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other

Step-by-step explanation:

choose me as brainlyest:)

Line BF is one of the three angle bisectors that meet at point F (incenter), hence, line BF as it relates to ABC is called the: interior angle bisector.

An interior angle bisector can be described as the line segment that divides an interior angle into two halves.

When the three interior angle bisector of a triangle meet at a point, the point is referred to a the incenter.

The diagram guven shows the incenter where the three interior angle bisectors meet.

Therefore, line BF as it relates to ABc is called the: interior angle bisector.

Learn more about the interior angle bisector on:

https://brainly.com/question/4421815

[tex] \qquad \qquad \huge\text{Anѕwer}♨[/tex]

❖ Aѕ givєn in thє quєѕtiσn, ч vαriєѕ invєrѕєlч with х, thiѕ єхprєѕѕiσn cαn вє rєprєѕєntєd αѕ :

[tex] \qquad \Rrightarrow \rm y \propto \dfrac{1}{x} [/tex]

➻ To rєplαcє prσpσrtiσnαlitч ѕign with єquαlѕ tσ, wє hαvє tσ uѕє α cσnѕtαnt (k)

[tex] \qquad \Rrightarrow \rm y = k \times\dfrac{1}{x} [/tex]

[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = k[/tex]

➻ nσw, plug in vhє vαluєѕ σf х αnd ч fσr α ѕpєcific inѕtαnt, thαt'ѕ givєn in thє quєѕtiσn ~

[tex] \qquad \Rrightarrow \rm \dfrac{}{} 6 \times 8 = k[/tex]

[tex] \qquad \Rrightarrow \rm \dfrac{}{} k = 48[/tex]

thєrєfσrє, vαluє σf prσpσrtiσnαlч cσnѕtαnt iѕ 48

➼ ѕσ, thє rєquirєd єхprєѕѕiσn will вє :

[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = 48[/tex]

Answer: 25.1

Step-by-step explanation:

1. Find the radius of the inner circle

(the formula for the circumference of a circle is )   C =2pi r

To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:

22 = 2(22/7)r

then solve for r

r = 3.5

2. add 4 to the radius of the inner circle

3.5 + 4 = 7.5

3. find the circumference of the outer circle using 7.5 as the radius

22 = 2 (22/7) 7.5

C = 47.1

4. Subtract the circumference of the inner circle from the circumference of the outer circle

47.1 - 22 = 25.1

Answer:

The Domino Theory suggested that one nation becoming Communist makes it more likely that others will too. Without American involvement, the South would quickly have fallen to the North and the nation, united under Communism, would have joined the Communist bloc.                

Step-by-step explanation:

Answer:

30 feet

Step-by-step explanation:

Area of a triangle = bh/2

A = bh/2

240 = b(16)/2

480 = (16)b

30 = b

Base = 30 feet

I hope this helps!

Answer:

30 ft

Step-by-step explanation:

Formula to find the area of a triangle is :

Area = [tex]\frac{1}{2}[/tex] × base × height

Given that,

Area of the triangle = 240 ft²

Height = 16 ft

Base = ??

Let us find now.

Area = [tex]\frac{1}{2}[/tex] × base × height

240  =  = [tex]\frac{1}{2}[/tex] × b × 16

240 × 2 = 16b

480 = 16b

Divide both sides by 16.

30 ft ⇒ base

Answer:

[tex] \orange{ \boxed{ \sf{ ( \: {x}^{2} + 11x + 18 \: ) \: sq. \: units}}}[/tex]

Solution :

Lenght = x + 9

Width = x + 2

[tex] \sf \green{area \: = \: (x + 9)(x + 2)} \\ \sf \green{ = \: { {x}^{2} + 11x + 18}} [/tex]

Answer:

[tex]x^2+11x+18\: \sf(square\:units)[/tex]

Step-by-step explanation:

To use the area model of solving multiplication and division problems, calculate the area of each of the colored rectangles and add them together.

Area of a rectangle = Length × Width

Area of blue rectangle:  [tex]x \times x = x^2[/tex]

Area of pink rectangle:  [tex]x \times 9 = 9x[/tex]

Area of green rectangle:  [tex]2 \times x=2x[/tex]

Area of orange rectangle:  [tex]2 \times 9=18[/tex]

Area of entire rectangle = blue + pink + green + orange

                                        = [tex]x^2+9x+2x+18[/tex]

                                        = [tex]x^2+11x+18\: \sf(square\:units)[/tex]

Answer:

Step-by-step explanation:A. h(x) = √(x-2)

Step-by-step explanation:

To translate a function right by p units and up by q units, the function becomes ...

g(x) = f(x -p) +q

Here, there is no translation upward, but there is a translation of 2 units to the right. The transformed function's name is given as h (not g), so you have ...

(p, q) = (2, 0)

h(x) = f(x -2) +0

h(x) = √(x -2)

The function h(x) , a transformation of the parent function f(x) = √x is √(x+1). Option A is correct option.

The transformation of the function is a function that curves a graph formed by the moving the original graph to left / right / up / down or by expansion or compression.

The transformation is of type horizontal shift when the curve moves to left or right. For y = f(x) , when this curve moves left or right the transformation  is given by y = f(x +c), c > 0 moves y=f(x) to the left by c units

and if c < 0 , moves  y =f(x) to the right by c units

Given that the graph of the f(x) = √x by dotted line and the graph of its transformation h(x) given by solid line.

h(x) is clearly formed by moving f(x) one units to the left as it is moved to left by 1 on origin

Then transformation of y =f(x) moving one unit to left will be given by

y = f(x+1) =√(x+1)

Therefore , transformation h(x) of f(x) is h(x) =√(x+1) and option A is correct option.

Also, Learn more about the transformation of a function from the link below:

https://brainly.com/question/13810353

#SPJ5

Answer:

325/377×100= 116% it means they completed 116%of the trip

Answer:

448 ft ^2

Step-by-step explanation:

[tex]A = \frac{b_{1} + b_{2}}{2} * h\\A = \frac{17 + 39}{2} * 16\\A = \frac{56}{2} * 16\\\\A = 28 * 16\\\\A = 448 ft^{2}[/tex]

Hope this helps,

If best, mark brainliest, if not, hope it helps anyway.

Step-by-step explanation:

tbh I don't know I need help with that too please like this comment

The measure of the marked central angle of the sector will be 280°.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The figure addresses 7/9 of a complete circle. Then the arc length of the circle will be given as,

Arc / P = 7/9

Simplify the equation, then we have

(θ/2π) 2πr / 2πr = 7/9

θ/2π = 7/9

θ = 14π / 9

θ = 280°

The central angle of the sector will be 280°.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

Answer:

1 gallon = 4 quarts

4 × 9 = 36

36 quarts are in 9 gallons

Answer: 15

Step-by-step explanation:

Answer:

length of the side BC=4

Step-by-step explanation:

length of the side BC = x

length of the side AB = 2x

length of the side AC = 2x

x + 2x + 2x = 20

5x=20

x=4

      BC = 4

AB=8

AC=8

  8+8+4=20

Answer:

  {−1.47596288535, 1.73968983949, 9.73627304586}

Step-by-step explanation:

The roots of this cubic are real and irrational, as indicated by a graph of it. (Rational roots would be divisors of 25.) The same graphing calculator can provide an iterative solution to 12 significant figures. Here, we have used Newton's method iteration. The iteration function is ...

  g(x) = x -p(x)/p'(x) . . . where p'(x) is the derivative: 3x^2-20x

We started each iteration using the value shown on the graph.

  x ∈ {−1.47596288535, 1.73968983949, 9.73627304586}

__

The second attachment shows another calculator's solution. The values of x that are roots are the opposite of the constant in each binomial factor. You will notice this solution has a couple more significant figures than the one shown above.

__

Additional comment

There are several formulas for finding the "exact" roots of the cubic. Here's a trig approach that works reasonably well for cubics with 2 or 3 real roots.

We can define, for p(x) = x³ +ax² +bx +c, ...

  s = -a/3 = 10/3

  t = b -a²/3 = -100/3

  r = a(2a² -9b)/27 +c = -10(200)/27 +25 = -1325/27

  d = √(-4t/3) = √(400/9) = 20/3

  h = 4r/d³ = -53/80

Now, the roots are ...

  x = s +d·sin(arcsin(h)/3 +2nπ/3) . . . . for n=-1, 0, 1

  = 10/3 +20/3·sin(arcsin(-53/80)/3 + n(2π/3)) . . . . . "exact solution"

  = (10/3)(1 +2·sin(-13.8303° +n(120°))

  = -1.47596..., or 1.73969..., or 9.73627...

Answer:

Afar fom what i've got from another question on Brainly. I might be wrong but It could Possibly be The 6th Time Vicki Runs!

Step-by-step explanation:

I apologise if this isnt the answer..............

Answer:

37 hope this helps sorry if wrong

Answer:

[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]

Step-by-step explanation:

You have to isolate the term of x from one side of the equation.

Distributive property:

A(B+C)=AB+AC

5x+(x+12)+(2x+4)

5x+(x+12)+(2x+4)=5x+x+12+2x+4

5x+x+12+2x+4

Group and combined like terms.

5x+x+2x+12+4

Add the numbers from left to right.

12+4=16

Rewrite the problem down.

5x+x+2x+16

Then, you solve.

5x+x=6x

6x+2x=8x

8x+16

As a result, the final answer is 8x+16.

I hope this helps you! Let me know if my answer is wrong or not.

✰ Given Information :-

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✰ To Find :-

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✰ Formula Used :-

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[tex] \qquad \star \: \red{ \underline{ \boxed{ \sf Time = \dfrac {Distance} {Speed} }}} \: \star[/tex]

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✰ Solution :-

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Putting the values in the formula, we get,

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[tex] \sf \longrightarrow Time = \dfrac{80 }{32} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = \cancel{\frac{80}{32} } \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = \dfrac{10}{4} \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = 2.5 \: hrs \\ \\ [/tex]

Thus, the time taken to travel 80 km with that speed is 2.5 hours.

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[tex] \underline{ \rule{227pt}{2pt}}[/tex]

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Answer:

Point A

Step-by-step explanation:

It can be seen from the image that the chosen value for N is greater than zero but less than 1, i.e,

[tex]0 < n < 1[/tex]

The square of such numbers will always result values less than N since they're decimals with zeroes on the whole number parts.

Hence, the value for N squared will be in the region of Point A.

Answer:3,221.6

Step-by-step explanation: if you divide 54,000 by 12, you get 4,500 which is the untaxted payment per month, then you must divide 15,340.80 by 12, which is 1,278.4, then you subtract that from 4,500 which ends up being 3,221.6