Answer:
18. C (3x -1)(x +8)
19. A (x +1)(x +3)
20. D (3x -2)(x -2)
Step-by-step explanation:
Since you know how to multiply binomials, you can easily check any of the offered answers to see if they work.
(ax +b)(x +c) = ax² +(b+ac)x +bc
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18. All of the constants except for choice D multiply to give -8, so you must check the middle term:
A b+ac = 1-24 = -23 ≠ 23
B b+ac = -8+3 = -5 ≠ 23
C b+ac = -1+24 = 23 . . . . . this is the answer
D already eliminated because bc = 8 ≠ -8
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19. The only answer with constants that multiply to give +3 is A.
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20. The only answer with constants that multiply to give +4 is D.
Answer:
y = 3x² + 54x + 240
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 9, - 3), thus
y = a(x + 9)² - 3
To find a substitute either of the roots into the equation
Using (- 8, 0), then
0 = a(- 8 + 9)² - 3
0 = a - 3 ( add 3 to both sides )
a = 3
y = 3(x + 9)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² + 18x + 81) - 3
= 3x² + 54x + 243 - 3
= 3x² + 54x + 240 ← in standard form
Answer:
Perimeter = 14.25
Area = 7.03?
Step-by-step explanation:
For the perimeter you add up all of the sides and for the area it should be 1/2 bh but i'm not entirely sure what the base is on this triangle
Answer:
D. 13
Step-by-step explanation:
You find the difference of the two temperatures
11-(-2)
11+2
13
Answer:
<6 = 68
Step-by-step explanation:
<5 + <6 + 90 = 180 since the 3 angles form a straight line
22 + <6 + 90 =180
Combine like terms
112+ <6 = 180
Subtract 112 from each side
<6 = 180-112
<6 =68
