Answer:
find k by putting -3 where there is x than -6 on g(x)
Step-by-step explanation:
g(x)=3k-2x²
-6=3k-2(-3)²
-6=3k-18
-6+18=3k
12=3k
12÷3=3k÷3
4=k
Answer: 2 x 2 x 5 x 5 x 7 x 7
Step-by-step explanation:
Answer:
The ratio simplifies fully to 2:1
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Work Shown:
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
2 & 1/4 = 2 + 1/4 = 2 + 0.25 = 2.25
The original ratio is the same as 4.5 : 2.25
Divide both parts by 2.25 and you'll end up with 2:1
4.5/2.25 = 2
2.25/2.25 = 1
This means the length is twice as long compared to the width.
Part A:
The total area = x² + 12x + 20 = (x+2)(x+10)
<span>The width = x+2
∴ Length = area / width = </span>[ <span>(x+2)(x+10) ] / (x+2) = x+10
Part B: </span>
<span>A 2-foot walkway is built around the fountain
</span>
<span>∴ The width = (x+2) + 2 + 2 = x + 6
The length = (x+10) + 2 + 2 = x +14
Part C:
</span><span>the total area covered by the fountain and walkway.
</span><span>
= (x+6)(x+14)
= x² + 20 x + 84
See the attache figure for more explanation
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