First you find (-2, -1) on the graph then you go up two units. there is not a point directly above (-2, -1) but if you look to the side B is exactly 2 units above which is what the question asked for.

5 0

2 years ago

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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:

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

Final Simplified Answer: $\frac{15(x+1)}{2(x-2)}$ which is the last option

3 0

2 years ago

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A cheetah runs 1 2/3 meters in 0.1 second.Determine the cheetah's speed in meters per second.

UNO [17]

1s = 0.1s X 10
1 2/3 = 5/3
10 = 10/1
5/3 X 10/1 = 50/3 = 16 2/3 = 16.666m/s

3 0

3 years ago