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
The answer is 18 dollars. If you subtract the $7 he earned, not originally part of his allowance, you get 9. Multiply by 2 because he spent half on the movies and you get 18.
The second one should by right
Answer:
<h2>A)t=6.7</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- quadratic equation
- quadratic equation word problems
- solving quadratic
<h3>given:</h3>
h(t) = -4t² + 12t + 100
<h3>to solve:</h3>
t
<h3>tips and formulas:</h3>
- <u>the</u><u> </u><u>Ball</u><u> </u><u>will</u><u> </u><u>hit </u><u>the</u><u> ground</u><u> </u><u>when</u><u> </u><u>the</u><u> height</u><u> is</u><u> </u><u>0</u>
- <u>solving</u><u> </u><u>quadratics </u><u>using</u><u> </u><u>quadratic</u><u> formula</u>
- <u>PEMDAS</u>
<h3>let's solve: </h3>













