Solve for m. Express your answer as an integer or integers or in simplest radical

Mathematics

1 answer:

Elodia [21]2 years ago

4 0

Answer: (5m2 + 9) • (m - 1)

Step-by-step explanation:

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Ierofanga [76]

Answer:

see explanation

Step-by-step explanation:

Under a translation < 5, - 9 >

5 is added to the original x- coordinate and 9 is subtracted from the original y- coordinate, that is

A(1, 4 ) → A'(1 + 5, 4 - 9 ) → A'(6, - 5 )

B(2, - 2 ) → B'(2 + 5, - 2 - 9 ) → B'(7, - 11 )

C(- 3, 2 ) → C'(- 3 + 5, 2 - 9 ) → C'(2, - 7 )

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3 years ago

Estamate 75% of 4,023

chubhunter [2.5K]

4023/x=100/75
(4023/x)*x=(100/75)*x
4023=1.3333333333333*x
x=4023/1.3333333333333
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3 years ago

15pts! (Multiple choice answer)Please answer with work

MariettaO [177]

To find the area of a rectangle, we multiply the Base by the Height. In this case the: Base = AB and Height = BC

So to get the area, we multiply AB by BC. (and we know that BC = 5x+5/x+3 and BC = [3x+9/2x-4)

So we would do:

$\frac{5x+5}{x+3}$ x $\frac{3x+9}{2x-4}$

Note: When multiplying fractions together, we multiply the numerator by the numerator, and the denominator by the denominator.

For example $\frac{2}{8}$ x $\frac{3}{4}$ = $\frac{6}{32}$

Answer: $\frac{5x+5}{x+3}$ x $\frac{3x+9}{2x-4}$ = $\frac{(5x+5)(3x+9)}{(x+3)(2x-4)}$

$\frac{(5x+5)(3x+9)}{(x+3)(2x-4)}$ = $\frac{5(x+1)*3(x+3)}{(x+3)*2(x-2)}$ [Note: we are able to factorise some brackets to make the sum easier. For example we can factor out the 5 in (5x+5) to get: 5(x+1) ]

Now lets simplify by multiplying the 5 and 3 together in the numerator:

$\frac{5(x+1)*3(x+3)}{(x+3)*2(x-2)}$ = $\frac{15 (x+1)(x+3)}{(x+3)*2(x-2)}$

If you notice, there is a (x+3) in numerator and the denominator. This means that we can cancel out the (x+3), to get the most simplified expression for the area:

$\frac{15 (x+1)(x+3)}{(x+3)*2(x-2)}$ = $\frac{15(x+1)}{2(x-2)}$