Find the area of the figure.

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

⇒(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

⇒(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

⇒(x + p) (x + p) = x² + 2px + p²

Answer:

hypotenuse

Step-by-step explanation:

Answer:

HYPOTENUSE

Step-by-step explanation:

No need to explain

°^°

Answer:

72 ounces

Step-by-step explanation:

given that it is holding 12 ounces and it says that the max is 6 times that of the 12 ounces it would be

12×6

thus it would equal 72

Answer:

72 oz.

Step-by-step explanation:

12 oz times 6 duhhhh

Answer:

Speed of car most likely

Step-by-step explanation:

Answer:

1

14

The answer is one over fourteen because there are 8 white eggs (remember the 10 brown eggs), and half of them (the white ones) are cracked, so four. And, if you randomly grab an egg, there is 1/14 of a chance you could grab a cracked, white, egg.

Answer:

multiply the other kid's time by 3/4

Step-by-step explanation:

there's some info missing but hope this helps!

Answer:

40%

Step-by-step explanation:

I added all the cookie numbers together to get 30 then I found the percentage of 12 in 30 which is equal to 40 percent

Answer:

hexagon

Step-by-step explanation:

i g

Answer:

y= -4x+4

Step-by-step explanation:

there you go!!!

Answer:

m= -4 would be the equation

Step-by-step explanation:

Answer:

When buying a backpack you want to pick the one with the greatest volume. Backpack A has the highest volume (5200) which means that it's the backpack that will allow me to fit the most stuff.

Step-by-step explanation:

This questions i just asking which bag has the greatest volume

the formula for that is just l*w*h

calculate the volume for each backpack:

a: 26*20*10=5200

b: 32*16*8=4096

c: 28*14*12= 4704

We can see that backpack A has the greatest volume, so we should pick it.

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]

Answer:

√29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:

a^2 + b^2 = c^2

2^2 + 5^2 = c^2

4 + 25 = c^2

c^2 = 29

c = √29

Since c is the hypotenuse and is the same length of the line, the line is √29 units long

Answer:

try 19.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

Finding the number of T-shirts bought:

According to the question.

Rate × Pieces of T-shirts = Rate × Pieces of T-shirts

⟶ 210 × 16 = 280 × x

⟶ 3360 = 280x

⟶ x = 3360/28

⟶ x = 12

Hence,

Answer:

yd^3

Step-by-step explanation:

Answer:

120yd^2

Step-by-step explanation:

A=BH

A= 15×8

A=120

symbol = yd^2

final answer= 120yd^2.

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.

Answer:

5/14

6/14

7/14

8/14

9/14

10/14

Step-by-step explanation:

We need to find the six rational numbers between 2/7 and 5/2. Firstly convert the fractions into like fractions.

=> 2/7 = 2×2/7×2 = 4/14

=> 5/2 = 5 ×7/2×7 = 35/14

Therefore the six rational numbers are

Answer:

the correct answers are A B C E

Answer:

3x + y =0

Step-by-step explanation:

We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .

Slope :-

=> m = -1-0/3-0

=> m = -1/3

Using point slope form :-

=> ( x - x1) = m( y - y1)

=> ( x - (-1)) = -1/3( y - 3)

=> (x + 1 )3= -y + 3

=> 3x +3 = -y + 3

=> 3x + y = 0

✔️ Checking :-

=> 3(-1) + 3 = 0

=> -3+3=0

=> 0 = 0

Answer:

A little brain/willpower.....Im sure you can figure it out!!!

Answer:

8

Step-by-step explanation:

Answer:

[tex]A. \: 288\pi( {cm}^{3} )[/tex]

Step-by-step explanation:

Hint:

Simplify:

[tex]4\pi \times 72[/tex]

[tex]288\pi( {cm}^{2} )[/tex]

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9

Answer:

5^6 × 5^(-2) × 5^(-7)

= 5^{6+(-2)+(-7)}

= 5^{6-2-7}

= 5^(-3)

Option c 5^-3

Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

Answer:

Option 3

Step-by-step explanation:

tan33°=x/7

x=4.5

4.5^2+7^2=y^2

20.25+49=y^2

y=√69.25

y=8.3