18. Solve for x by factoring diamond method
10x^2 - 29x - 21 = 0 becomes
(2x - 7)(5x + 3) = 0
x = 7/2, -3/5
A
19. To model this we will do
(x + 9)(x + 9) = 169
distribute
x^2 + 18x - 88 = 0
factor
(x - 4)(x + 22) = 0
The length is 4m
D
20. This can be modeled by
(l)(l +5) = 234
distribute
l^2 + 5l -234 = 0
factor
(l-13)(l+18) = 0
The length is 13
The width is 18
B
21. To find this you divide the x term by 2 and square it so
10/2 = 5
5^2
25
B
22. To find this you divide the x term by 2 and square it so
9/2 = 4.5
4.5^2
81/4
C
You have to solve the given expression for q:

This expression has a quadratic term, which means that it is a quadratic equation. To find the value or values of q, you have to use the quadratic equation, using "q" as the variable instead of "x"

Where
a is the coefficient of the quadratic term
b is the coefficient of the q term
c is the constant
- First, zero the equation by passing 3q to the left side of the equal sign:

For this equation the coefficients are:
a= 2
b= -3
c= -8
Replace them in the formula and solve:

Next, to determine each possible value of q, you have to solve the sum and difference separately:
Sum

Difference

The possible solutions for the given equation are q=2.9 and q=-1.4
Answer is B
= (-2x^2 - 2x + 1) - (x + 1)
= -2x^2 - 2x + 1 - x - 1
= -2x^2 -3x
Answer:
slope = 6
Step-by-step explanation:
slope = rise/run
rise = 12 run = 2