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SOVA2 [1]
3 years ago
13

I need help on 25. I know the answer is 2a but I need to see the work. Please help I’ve tried so many possibilities.

Mathematics
2 answers:
valkas [14]3 years ago
7 0

a(2a-3(1-a))+5(a-a^2)

distribute the inner most parenthesis

a( 2a -3+3a))+5(a-a^2)

combine like terms

a(5a-3) +5(a-a^2)

distribute both sets of parenthesis

5a^2 -3a +5a-5a^2

combine like terms

5a^2-5a^2 -3a+5a

2a

mamaluj [8]3 years ago
3 0

Answer:

ans is 2a

Step-by-step explanation:

a[2a-3(1-a)] + 5(a-a^2)

=a{2a-3+3a] + 5a - 5a^2

=a[5a-3] + 5a - 5a^2

=5a^2 - 3a + 5a - 5a^2

=2a

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R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)

Here, x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2

Substituting this in the section formula

R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)  

To simplifying the expression, we get

\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)

\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)

⇒ R(x,y) = R(–3,4)  

Hence, the coordinates of point R is (–3, 4).

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