These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know please.

Answer:

2.(b) w= 3

3. x= -3 or x= 3

Step-by-step explanation:

2.(b) Method 1:

[tex] \frac{2w - 1}{5} + w + 2 = 2w \\ \frac{2w - 1}{5} = 2w - w - 2 \\ [/tex]

Simplify:

[tex] \frac{2w - 1}{5} = w - 2[/tex]

×5 on both sides:

[tex]2w - 1 = 5(w - 2)[/tex]

Expand:

[tex]2w - 1 = 5w - 10[/tex]

Bring constants to 1 side, w terms to the other:

[tex]5w - 2w = 10 - 1[/tex]

Simplify:

[tex]3w = 9[/tex]

Divide both sides by 3:

[tex]w = 9 \div 3 \\ w = 3[/tex]

Method 2:

[tex] \frac{2w - 1}{5} + w + 2 = 2w[/tex]

Multiply by 5 throughout:

[tex]2w - 1 + 5(w + 2) = 5(2w)[/tex]

Expand:

[tex]2w - 1 + 5w + 10 = 4w[/tex]

Simplify:

[tex]7w - 9 = 4w[/tex]

+9 on both sides:

[tex]7w = 4w + 9[/tex]

-4w on both sides:

[tex]7w - 4w = 9[/tex]

Simplify:

[tex]3w = 9[/tex]

Divide by 3 on both sides:

[tex]w = 3[/tex]

3. [tex] \frac{6x - 12}{3} + 4 = \frac{18}{x} [/tex]

Multiply by 3x on both sides:

[tex] \frac{3x(6x - 12)}{3} + 3x(4) = \frac{3x(18)}{x} \\ x(6x - 12) + 12x = 3(18)[/tex]

Expand:

[tex]x(6x) - x(12) + 12x = 54 \\ 6x^{2} - 12x + 12x = 54 \\[/tex]

Simplify:

[tex]6 {x}^{2} = 54[/tex]

Divide by 6 on both sides:

[tex] {x}^{2} = 9[/tex]

-9 on both sides:

[tex] {x}^{2} - 9 = 0[/tex]

Factorise:

*Since a²-b²= (a +b)(a -b),

[tex] {x}^{2} - {3}^{2} = 0 \\ (x + 3)(x - 3) = 0[/tex]

Thus,

x +3= 0 or x -3= 0

x= -3 or x= 3

Answer:

w = 3

Step-by-step explanation:

(6x-12)/3 + 4 = 18/x

Simplify fraction

2x -4 +4 = 18/x

Combine -4+4=0 Divide by 2 to reduce

x = 9/x

Multiply both sides by x

x² = 9

x = 3, -3

Answer:

2nd choice

Step-by-step explanation:

Look at the graph

Answer: 2

Step-by-step explanation:the graph says it all

Answer:

There is no difference/they are the same

Step-by-step explanation:

5/8 is the same as 5/8

3/4 is the same as 6/8

3 *2 = 6

__      _

4*2 = 8

(2/2 = 1)

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

i honestly looked it up hope it helped tho lol

Answer:

Number 1 and 2

Step-by-step explanation:

For number 1, you have to distribute the 2 so 2*x=2x, and 2*4=8

That makes 2x+8 and number 2 is the only answer

Answer:

Mary is adding - 2

Step-by-step explanation:

Mary is adding - 2 to - 2 but instead she is supposed to be multiplying - 2 to - 2

Answer:

Sorry, I only figured out one.

3 = 21 divided by 7

Step-by-step explanation:

Answer:

$308

Step-by-step explanation:

Let x=hourly pay

5x=70

x=14

22(14)

=308

Answer:

$308

Step-by-step explanation:

Let the amount earned be a

and hours be h

a ∝h

a = kh where k is the constant

if $70.00 is earned in 5 hours,

70 = 5k

k = 70/5

k = 14

For 22 hours, it is

a = kh

a = 14 × 22

a = 308

Answer:

I don't see a chart

Answer:

The unit rate is 15.

Explanation:

Time (hours)

6: $90            90/6 = 15

12: $180         180/12 = 15

18: $270        270/18 = 15

24: $ 360      360/24 = 15

You should find the unit rate by dividing y by x. I divided all of the y's by the x's and I got 15 for all of them, which means that the unit rate is 15.

Answer:

no idea sorry

Step-by-step explanation:

sorry,but god bless you and your family,love from Honeyyy and stay safe    -love from Paris

Answer:

The side length is 11 ft

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

121 ft^2 = s^2

Take the square root of each side

sqrt( 121 ft^2) = sqrt(s^2)

11 ft = s

The side length is 11 ft

Answer:

6

Step-by-step explanation:

GCF=Greatest common factor

we know that it can not be 15 due to 15 not going into 54 due 54 not ending in a 5 or 0. and we know it cannot be 9 either due to 9 not going into 30

so it is 6 because 6 goes into 30 5 times and 6 goes into 54 9 times

Hope this helps

Answer:

6

Step-by-step explanation: (Sorry if this doesn’t help)

Answer:

3/2

Step-by-step explanation:

The equation for slope is y/x.

This does not need to be simplified because you don't want a decimal when using slope. To find the slope pick an x value and its corresponding y value

Answer:

y = -x + 6

Step-by-step explanation:

Slope intercept form is y = mx + b.

So distribute the negative sign on the right side to get:

y - 5 = -x +1

Then  add the 5 on the left side to both of the sides to get y alone, then you will get:

y = -x +6

That is in slope intercept form.

Answer

Step-by-step explanation:  it would be A). x+8

Answer:

40 degrees

Step-by-step explanation:

a triangle equalls 180 degrees so you add the two degrees of the angles which equals to 140 degrees and then subtract from 180.This equals 40 degrees.

Answer:

The answer is 64

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

why did you scribble out everything?

Answer:

-12, -14, 11, 10

Step-by-step explanation:

Answer:

28.166666666667%

Answer:

unknown

Step-by-step explanation:

Hey! you need a ruler to do this question. There is no ruler in this image.

Answer:

..A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)..

Step-by-step explanation:

Answer:A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)  

Step-by-step explanation:

didnt you already ask us this ?!

The product of two negative integers is not negative because multiplying two negative numbers always gives positive result.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.

The result of a multiplication operation is called a product.

So, to prove product of two negative integers is not negative

Taking the example of (-1) ·(-1).

Now since multiplying two negative numbers always gives positive result.

Thus, (-1) ·(-1) = +1

which is not negative.

Thus, the product of two negative integers is not negative because multiplying two negative numbers always gives positive result.

To learn more about multiplication:

brainly.com/question/1563457

#SPJ2

Answer:

imma be honest, im not sure how to save images but the correct answer is the one where all the Y-values are 5. this is because the change in y-values is 0, so that would be the numerator over whatever the change in x-values would be, simplifying to zero. so it would be a horizontal line since all the y-values are the same

Answer:

12

Step-by-step explanation:

8-(-4)=8+4=12