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Answer:
120x^3y^7
We can use the Pascal's triangle to solve this question.
This pascal's triangle is shown in the Image below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression is :
(x+y)10
After you do the steps you be left with:
120x^3y^7
If p(x) is divisible by x-7, then there is no remainder. We could do this problem with relative ease by using synthetic division:
_____________
7 / 2 -11 c
14 21
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2 3 0 c must = -21 for the remainder to be zero.
Now consider dividing the given poly by 2x+1. The corresponding root is -1/2
____________________
-1/2 / 2 3 -21
-1 -1
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2 2 -22 The remainder when p(x) is div. by 2x+1 is -22.
Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
=
=
=
= =
Distance between points ( 2, 5 ) and ( 7, 0 )
=
=
=
= =
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly as well. Therefore, you can say that the perimeter of this triangle is = . Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.
First make an equation.
Carmen walked 75 feet plus 4 blocks all equal to 150 feet.
75 + (4 × 150)
First multiply 4 by 150.
150 × 4 = 600
Now we have 75 + 600. Add to find the total distance Carmen walked.
75 + 600 = 675
<h2>Answer:</h2>
<u>Carmen walked</u><u> 675 feet</u><u>.</u>