Answer:
x=-7 x=4
Step-by-step explanation:
(x −2)(x + 5) = 18
Foil
x^2 +5x-2x-10 = 18
Combine like terms
x^2 +3x -10 =18
Subtract 18 from each side
x^2 +3x -28 = 0
Factor
What two numbers multiply to -28 and add to 3: 7 and -4
(x+7) (x-4) =0
Using the zero product property
x+7=0 x-4 =0
x=-7 x=4
Answer:
In the numbers mumbo jumbo, 76 is the minimum and 89 is the maximum. So it can look like this. (Fig A)
If you understood Fig A, the rest is easy.
There are one 76s, one 77s, four 78s, no 79s, four 80s, five 81s, no 82s, five 84s, four 85s, one 86s, two 87s, one 88s, and two 89s in the mumbo jumbo.
So the completed dot plot would look like Fig B. (I drew this in the computer and the dots aren't presicely balanced, but you'll get the idea)
Answer:
14. 28 inches
15. 6.3 cm
16. 1/2 yard
Step-by-step explanation:
14. use the pythagorean theorem for this problem
a^2 + 45^2 = 53^2
you get a^2+2025=2809
subtract 2025 from both sides to get
a^2=784
square root both sides to get 28
15. same thing as question 14
1.6^2+b^2=6.5^2
2.56+b^2=42.25
subtract 2.56 from both sides
b^2=39.69
square root both sides to get your answer
b = 6.3cm
16. again use the pythagorean theorem
.3^2+.4^2=c^2
.09+.16=c^2
.25 = c^2
square root both sides to get
c = .5
or
c = 1/2 yard
Answer:
0
Step-by-step explanation:
-8(5n+3)=-4(-8n+6)
- 40n - 24 = 32n - 24
- 24 + 24= 32n +40n
72n =0
n = 0