Which statement best describes how to verify the Pythagorean Theorem using this drawing?

A. The sum of the perimeters of the smaller squares is equal to the perimeter of the larger square.

B. The difference of the perimeters of the smaller squares is equal to the perimeter of the larger square.

C. The difference of the areas of the smaller squares is equal to the area of the larger square.

D. The sum of the areas of the smaller squares is equal to the area of the larger square.​

Answer:

0.73

Step-by-step explanation:

73 divide by 100 = 0.73

Answer:

a = 4 , b = -2

Step-by-step explanation:

3a + b = 10

2a + 4b = 0

(By using elimination method, eliminate one variable) - to get only one equation

(3a + b = 10 ) 4

2a + 4b = 0

12a + 4b = 40

(minus)

2a + 4b = 0

10a = 40

a = 40/10

a = 4

(substitute a into an equation to get b)

2a + 4b = 0

2(4) + 4b = 0

4b = 0 - 8

b = -8/4

b = -2

Answer:

138.2

Step-by-step explanation:

use the formula 2(pi)radius (height)+2(pi)radius squared

can u mark my answer the branliest pliz

Answer:

x=1/3

y=-7

Step-by-step explanation:

using the elimination method, you can add both equations vertically, to eliminate the x

-3x+y=-8

3x+2y=-13

3y=-21

y=-7

we then fix the value of y into the first equation

-3x+y=-8

-3x-7=-8

-3x=-8+7

-3x=-1

x=1/3

Here goes the answer. Please mark brainliest.

Answer:

x = -1.791 and x = 2.791

Step-by-step explanation:

Graphing x^2 - x - 2 = 3

we got 2 intersects at x = -1.791 and x = 2.791

Answer:

I dont know if this is the right answer hehe

Answer:

C. Shape with 4 equal sides

Step-by-step explanation:

Shape with 4 equal sides

Answer:

i believe it would be 0.79b + 3.59c [tex]\leq[/tex] 100

Step-by-step explanation:

the price of the number of cans of beans added to the number of boxes of cereal must be less than or equal to $100

0.79b represents the price of the beans multiplied by the amount of cans the contestant buys, and 3.59c represents the price of the cereal multiplied by the amount of boxes the contestant buys

Step-by-step explanation:

it is 0.7777777778 . make sure you round it though 0.7^. or 0.78

Answer:

7/9

Step-by-step explanation:

1) Put 1 over 7, like this: 7/1

   REMEMBER EVERYTIME THERE IS A WHOLE NUMBER! PUT A 1 OVER IT!

2) You would get your equation as this: 7/1 * 1/9

3) Multiply HORIZONATLY!

 7 * 1 / 1 * 9  =  7/9

4) Your answer is 7/9!

Answer:

b) [tex]f^-1(x)[/tex]= ∛(4x-24)

c)2

Step-by-step explanation:

these ones are inverse functions

change the f(x) for y and make x the subject

y= x³/4 +6

(y-6)x 4 = x³

∛(4y-24)= x

then put x back were y is

[tex]f^-1(x)[/tex]= ∛(4x-24)

and to do c just put in 8 where x is

∛(4(8)-24)= 2

Answer:

hola

com

stas

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation: the first thing you got to do is 3.9 divided by 6 and then solve it

Answer:

283

Step-by-step explanation:

458-175=283

and you have your answer.

Answer:

120 cups of sugar

8 ounces of paint

Step-by-step explanation:

Given that :

To cover all sides of the rectangular prism with paint, that is the surface area.

The amount of sugar held by the prism is function of its volume.

Hence, doubling the dimension :

The surface area, in unit² is a obtained by

Initial paint required * 2^2

2 * 2² = 2 * 4 = 8 ounces of paint.

For sugar :

It has to do with volume, unit³

Initial * double³

15 * 2³

15 * (8) = 120 cups of sugar

the answer is....

eat my ahhh oStep-by-step explanation:

Answer:

16÷2

Step-by-step explanation:

It would be 16 divided by 2. This is because in the diagram they are splitting 16 by 2. Splitting 16 by 2 gets you two 8's.

Answer:

I select b, 1,3, or 9 photos as my answer.

Answer:

-4 or 5

Step-by-step explanation:

let number be x

x²-x=20

Rearrange

x²-x-20=0

(x+4)(x-5)=0

Separate

x+4=0, x-5=0

x=-4 or 5

Answer: x=6

Step-by-step explanation:

Hope this helps

Answer: 4

Step-by-step explanation:

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

y₂ = -7

y₁ = 5

x₂ = 0

x₁ = 3

[tex]\frac{-7 -5 }{0- 3 }=\frac{-12}{-3} = \frac{4}{1} = 4[/tex]

Slope: 4

Answer:

Volume = 125 mm^3

Step-by-step explanation:

Here, we want to get the volume of the cube

What we have to do here is to substitute the value of the area

We have this as

:

V = 25^(3/2)

V = (√25)^3

V = 5 * 5 * 5 = 125 mm^3

45 boys, 27 girls

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

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

The people there are in total of 72 students

Let the ratio of boys to girls be 5x: 3x

The ratio of boys to girls in a group is 5:3.

no. of boys = 18 + no. of girls

=> 5x = 18 + 3x

=> 5x - 3x = 18

=> 2x = 18

=> x = 18/2

x= 9

No. of boys = 5x

No. of boys= 5 × 9

No. of boys= 45

No. of girls = 3x

No. of girls= 3 × 9

No. of girls= 27

Total = 45 + 27

Total= 72

Hence, there are 72 students there.

To learn more about the ratio visit:

https://brainly.com/question/2328454

#SPJ2

Answer:

Carries earns [tex]40[/tex] dollars

Step-by-step explanation:

Given -

Tara earns $15 less than three  times what Carrie earns.

Total earning of Tara [tex]= 105[/tex] dollars

Let  "X" be the earning of Carrie

[tex]3X - 15 = 105\\3X = 120\\X = 40[/tex]

Carries earns [tex]40[/tex] dollars

Problem 1

To find the y intercept, plug in x = 0 and simplify

f(x) = (x-2)(x+4)

f(0) = (0-2)(0+4)

f(0) = (-2)*(4)

f(0) = -8

We have x = 0 pair up with y = -8

The y intercept is (0,-8)

Answer: Choice D

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

Problem 2

(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.

The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.

Answer: C) Parabola opens upward

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

Problem 3

Answers:

Explanation:

Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).

Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

Answer:

The answer is 15 km/in

Step-by-step explanation:

150 divided by 10 is 15.

Therefore the answer is 15 km/in.

Answer:

[tex]\frac{30}{7}[/tex]

Step-by-step explanation:

to multiply a number by a fraction, just multiply straight across

you just do 5 * 6 to get 30 and since there isn't anything under the 6, you put an imaginary 1  to get you 7 so your answer will be 30/7