Select the best possible first step to solving the system by first eliminating the x variable.

Express the area of the entire rectangle. you answer should be a polynomial in standard form.

mixer [17]

Answer:x^2 + 9x + 20

Step-by-step explanation:

You could just multiply (x+4)(x+5) and get x^2 + 9x + 20, but judging from the picture, it looks like they want you to split it into 4 rectangles

x^2 +4x+ 5x + 20 =x^2 +9x + 20, just like (x+4)(x+5)

8 0

3 years ago

What is the value is of x? A)0 B)25 C)4 D)7

iogann1982 [59]

We know that these two angles are equal to each other (There is the "congruent" sign) so we can set them equal to each other and solve for x

3x - 17 = 25 - 3x

(3x + 3x) - 17 = 25 + (-3x + 3x)

6x + (- 17 + 17) = 25 + 17

6x/6 = 42/6

x = 7

Hope this helped!

7 0

3 years ago

Verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13

Ivanshal [37]

Answer:

This is the distributive property

Step-by-step explanation:

You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.

For this example, they distributed a to both b and c making it a*b + a*c

This will result in the same answer:

3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13

3/5(-1.23..) = -6/5 + 30/65 (..= approx)

approximately- 0.74 = -0.74

6 0

3 years ago

The paper feed on a copying machine has room for a stack of paper 4.0 cm high. If 10 sheets of paper are 0.08 cm thick, how many

Ierofanga [76]

I don't know but I know it is going to be a lot

7 0

3 years ago

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

kondor19780726 [428]

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that $N = 8 + 10 = 18$

We want 3 boys, so $k = 8$

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that $n = 8$

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323$

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

3 0

3 years ago