I could really use the help! see Image below. :) thanks again.

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

Answer:

Sadie didn't split the a^7 term into the largest even exponent and the remaining factor. She stopped at a^2.
3a³b√(6ab)

Step-by-step explanation:

$\sqrt{54a^7b&3}=\sqrt{3^2\cdot 6\cdot a^6\cdot a\cdot b^2\cdot b}=3a^3b\sqrt{6ab}$

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Please help thank youu!!

Tcecarenko [31]

I believe the answer is 4 if you need an explanation then reply to me!

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how to use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence 24,30,36,42,48,...

Leni [432]

A1=24
n=500(seq #) 
d=how much u add each time=6 

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3 years ago

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

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3 years ago

6R + r -5r simplify each expression A.2r B.1 r + r C.0r D.7r-5r

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A. 2r
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3 years ago

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Stels [109]

The answer to the question is the first, third and fifth

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3 years ago