<h3>
Answer: 25</h3>
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Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
1) Striangle = 1/2 * (12-8) * 4 = 1/2 * 4 * 4 = 8 km^2
2) Srectangle = 4 * 8 = 32 km^2
3) Sfigure = 8 + 32 = 40 km^2
Number C
Answer:
y=1/4x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-(-2))/(8-(-4))
m=(1+2)/(8+4)
m=3/12
m=1/4
y-y1=m(x-x1)
y-(-2)=1/4(x-(-4))
y+2=1/4(x+4)
y=1/4x+4/4-2
y=1/4x+1-2
y=1/4x-1
Answer:
n=216.
Step-by-step explanation:
Very simple problem - we just have to multiply both sides by 6, which will get rid of the 6 on the left.
36 x 6 = 216
Answer: Octavian (the future emperor Augustus), Mark Antony, and Lepidus. i hope this helped
Step-by-step explanation: