Answer:
Step-by-step explanation:
Equation is below
Step 1
4y-7 evaluating
Step 2
4y-7 Substitute y for 3
(4)(3)-7
Step 3
(4)(3)-7 Now simplify
12-7
5
Answer
5
Hope this helps
Answer:
−25x+54−32rx+64r−x^2
Step-by-step explanation:
(−28−32r−x+1)(x−2)
Add −28 and 1 to get −27.
(−27−32r−x)(x−2)
Apply the distributive property by multiplying each term of −27−32r−x by each term of x−2.
−27x+54−32rx+64r−x^2+2x
Combine −27x and 2x to get −25x.
−25x+54−32rx+64r−x^2
The solutions to the system of equations are given as follows: (1, -3) and (-4,2).
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The equations are given as follows:
- (x + 3)² + (y + 2)² = 17.
From the second equation:
y = -2 - x.
Replacing in the first:
(x + 3)² + (y + 2)² = 17.
(x + 3)² + (-2 - x + 2)² = 17
x² + 6x + 9 + x² = 17
2x² + 6x - 8 = 0
2(x² + 3x - 4) = 0
2(x + 4)(x - 1) = 0.
Then the solutions for x are:
The solutions for y are:
- When x = 1, y = -2 - 1 = -3.
- When x = -4, y = -2 -(-4) = 2.
Hence the solutions are:
(1, -3) and (-4,2).
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
The volume of a pyramid is V = 1/3 x base length^2 x height
Let X = base length.
We are told the height is 1/2 the length, so height would be 1/2x
Now we have:
972 = 1/3 * x^2 * 1/2x
Simplifying we get:
972 = 1/6x^3
Multiply both sides by 6:
5832 = x^3
Take the cube root of both sides:
x = 18
The length of the base is 18 inches.
The height is 1/2 that, so the height would be 18/2 = 9 inches.
Wilson's question is not a statistical question because the students my not a have tall person in their class
