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Lady_Fox [76]
3 years ago
14

Find the area of the rectangle with a length of 2x+2/x-4 and the width of 3x-12/x^2+6x+5

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
We're trying to evaluate a fractional expression here:
\frac{2x + 2}{x -4} * \frac{3x - 12}{x^{2} + 6x + 5}

The first thing to do, is factor everything we can. The quadratic factors to (x + 1)(x+5) and the expression above that factors to 3(x - 4). 2x + 2 factors to 2(x + 1).
\frac{2(x + 1)}{x -4} * \frac{3(x - 4)}{(x+1)(x+5)}

It looks a little complicated now, but if we combine the two we can cancel some stuff.

\frac{2(x + 1) * 3(x - 4)}{(x -4)(x+1)(x+5)}

Still looking complicated, but look, we have (x+1) and (x+4) on the top and the bottom, that means they don't matter and we can get rid of them:

\frac{2 * 3}{x+5} = \frac{6}{x+5}

Tada! The area is 6/(x+5). We'd need to know x to go any further!

Need any more explanation?
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aev [14]

Answer:

g(-5) = -127

Step-by-step explanation:

Plug in -5 for x:

g(-5) = (-5)^3 - 2

= -125 - 2

= -127

4 0
3 years ago
Factor the polynomial expression 15x^2 - 2x - 8
AVprozaik [17]

Answer:

(3 x + 2) (5 x - 4)

Step-by-step explanation:

Factor the following:

15 x^2 - 2 x - 8

Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):

5 x (3 x + 2) - 4 (3 x + 2)

Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):

Answer: (3 x + 2) (5 x - 4)

4 0
3 years ago
Can someone please check my answers I WIILL GOVE BRAINLY TO FIRST PERSON THAT ANSWERS!
Rainbow [258]
The first is C. r = 4(4/9)
the second one is B. h = 130
the second one is A. k = 7

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5 0
3 years ago
What set of transformations is performed on triangle ABC to form triangle A′B′C′?
Simora [160]

Answer: A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin .

Step-by-step explanation:

From the given figure, the coordinates of ΔABC are A(-3,4), B(-3,1), C(-2,1) and the coordinates of ΔA'B'C' are A'(3,1), B'(3,4), C'(2,4).

When, a translation of 5 units down is applied to  ΔABC, the coordinates of the image will be

Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-

which are the coordinates of ΔA'B'C'.

Hence, the set of transformations is performed on triangle ABC to form triangle A’B’C’ is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".

4 0
3 years ago
The length of a rectangular is 2/5 meter.It's width is 1/4 of its length .What is the perimeter of the rectangle?
Varvara68 [4.7K]
I think the answer is 2 13/20
Or, in decimals:             1.3
3 0
3 years ago
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