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givi [52]
2 years ago
6

The midpoint of AB is M(-4,2). If the coordinates of A are (-6,5), what are the

Mathematics
1 answer:
-Dominant- [34]2 years ago
8 0

Answer:

(-2,-1)

Step-by-step explanation:

Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:

-4 = ([-6+x]/2)

After you solve for x, you should have gotten -2 for x.

Then you do the same for y:

2 = ([5+y]/2)

You should get -1. Your final answer should be (-2, -1)

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If a lawn measures 40 and 4/5 ft by 50 and 7/8ft how many square feet of seed will he need?
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So convert to improper fracitons (improper=x/y where x>y and the current one is mixed where it is in t s/f form) so

40 and 4/5=(40 times 5)/5 and 4/5=200/5 and 4/5=204/5

50 and 7/8=(50 times 8)/8 and 7/8=400/8 and 7/8=407/8

area=legnth times width
legnth =407/8
width=204/5
multiply 407/8 and 204/5

407/8 times 204/5=(407 times 204)/(8 times 5)=83028/40=2075.7 square feet

the answer is 2075.7 ft^2 of seed
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SQUARE ROOT OF 25<br><br>THANKS ​
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5

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Simplify (8c^4w^2)^2 show work
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Exponents are not particularly mysterious. They show repeated multiplication. That is ...

... c⁴ = c·c·c·c

... w² = w·w

Then the factor inside parentheses is ...

... 8·c·c·c·c·w·w

The exponent outside parentheses tells you the number of times this is repeated as a factor:

... (8c⁴w²)² = (8·c·c·c·c·w·w)(8·c·c·c·c·w·w)

... = 8·8·c·c·c·c·c·c·c·c·w·w·w·w = 64c⁸w⁴

_____

You can take advantage of the fact that multiplication is repeated addition, so the exponents of the various factors can be found by multiplying the outside exponent by the inside exponents.

\displaystyle\left(8c^{4}w^{2}\right)^{2}=8^{2}\cdot c^{4\cdot 2}\cdot w^{2\cdot 2}\\\\=64c^{8}w^{4}

7 0
3 years ago
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