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aliina [53]
3 years ago
9

Everyday, Sarah drives the same distance to work and back home. If Sarah drove 1,005 miles in 5 days , how far did Sarah drive 3

days?
Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
The answer is 201 because all you do is divide 1,005 by 5 then to check your answer you multiply 201 by 5 then you get 1,005.

Your welcome
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Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1
ivolga24 [154]

Answer:

a^{3y} + 1  = (a^{y}+1 )^{3}  - 3a^y(a^{y}+1)\\\\

Step-by-step explanation:

We are to factorize the expression a^{3y} + 1 completely. To do this, we will apply the expression below;

The expression can be rewritten as a^{3y} + 1^{3}

To factorize the expression, we need to first factorize (a^{y}+1 )^{3} first

(a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2}  } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3}  = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3}  = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\

The we will make a^{3y} + 1^{3} the subject of the formula as shown;

(a^y)^{3} + 1 = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3}  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

(a^y)^{3} + 1  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

a^{3y} + 1  = (a^{y}+1 )^{3}  - (3(a^y)^{2}+3a^y)\\\\

a^{3y} + 1  = (a^{y}+1 )^{3}  - 3a^y(a^{y}+1)\\\\

This last result gives the expansion of the expression

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27. The altitude BD to the base AC of isosceles ABC has a length of 12. If AC = 10,
Vsevolod [243]

The answer is: 36

Because, bisecting the base of the triangle gives of two segments of five. This forms two triangles with base of 5 and altitude (in this case height) of 12. There exists a special pythagorean triplet triangled named 5-12-13 meaning if you have a right triangle with two of these sides then the unknown side is the number left out. In this case, the altitude forms a right angle on the base which allows the sides of the big isocs. triangle to be 13 giving us 13 + 13 + 10 to be the perimeter = 36.

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