Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.
Aaron is 4 years and Maria is 14 years old.
A = Aaron's age today
M = Maria's age today.
a. The equation based on the statement given will be:
M = A + 10
b. Maria's age based on the statement in 6 years will be:
= (A + 10) + 6
= A + 16
c. Based on the information above, the equation to solve their ages will be:
A + 16 = 2(A + 6)
A + 16 = 2A + 12
Collect like terms
2A - A = 16 - 12
A = 4
Therefore, Aaron is 4 and Maria is 14 years.
Read related link on:
brainly.com/question/22866879
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 9)
m = 
= 
= 2
-3 is the integer Phillip wrote
