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maria [59]
1 year ago
10

what is the slope of a line is PARALLEL to the line with this equation y=

7B1%7D%7B2%7D%20x%20%2B%207" id="TexFormula1" title="y = \frac{1}{2} x + 7" alt="y = \frac{1}{2} x + 7" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Gwar [14]1 year ago
6 0

Our line equation is

y=\frac{1}{2}x+7

where the slope m=1/2 and the y-intercept b is b=7.

Parallel lines has the same slope. Hence, their slope is always

m=\frac{1}{2}

in this case.

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Expand the given power by using Pascal’s triangle. (9a - 10b)^6
xxMikexx [17]

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

Step-by-step explanation:

                     1                                n=0

                  1      1                            n=1

                 1   2   1                           n=2

                1  3  3  1                          n=3

              1  4  6  4   1                      n=4

             1  5 10 10 5  1                    n=5

           1 6 15 20 15 6 1                   n=6

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

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4 years ago
Amanda has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that wei
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T(x)= 14x + 70(930-x)
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4x____ = 6 so that both sides equal 24

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Solve
dedylja [7]

Answer:

At the end of "Samuel's Memory, Samuel's feelings change from confusion and fear to anger and hate because his mother dies and he feels that he is all alone (C).

Step-by-step explanation:

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Write an addition problem that is modeled by the following number line :
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-10+15

Step-by-step explanation:

Pls Brainliest! ;) It would mean a lot! Also this is called integers addition on a line plot.

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3 years ago
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