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3 years ago

Help with number 8 please

Mathematics

1 answer:

Mrrafil [7]3 years ago

7 0

The answer would be 1440 feet^2, becasue for area you have to multiply the width, length, and depth. You bascally would draw a 3D rectangle and label the depth, height, and width. That would be your diagram.

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Which sum is equal to the expression - 5x3 + 2x2 + 9x+2/<br> (x²+ 2)²

Makovka662 [10]

Answer:

Option C

Step-by-step explanation:

Given expression is $\frac{-5x^3+2x^2+9x+2}{(x^2+2)^2}$

Option A

$\frac{A}{x^2+2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{A(x^2+2)}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{Ax^2+2A+Bx+C}{(x^2+2)^2}$

Numerator is a quadratic polynomial, while the expression has the numerator as a cubic .

Therefore, both the expressions are not equivalent.

Option B

$\frac{A}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{A+Bx+C}{(x^2+2)^2}$

Here, numerator of the expression is a linear polynomial which is not equal to given expression.

Therefore, both the expressions are not equivalent.

Option C

$\frac{Ax+B}{(x^2+2)}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{(Ax+B)(x^2+2)}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{Ax^3+Bx^2+2Ax+2B+Cx+D}{(x^2+2)^2}$

= $\frac{Ax^3+Bx^2+x(2A+C)+D}{(x^2+2)^2}$

Here, numerator is a cubic polynomial.

Therefore, both the expressions are equivalent.

Option D

$\frac{Ax+B}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{x(A+C)+(B+D)}{(x^2+2)^2}$

Numerator is a linear polynomial.

Therefore, sum is not equal to the given expression.

Option C will be the answer.

3 0

3 years ago

Help my please with math

frosja888 [35]

8x + 7y = -15 (1st)
-7x - 9y = -7 (2nd)

multiply (1st) by 7 and (2nd) by 8

56x + 49y = -105 (multiply 7)
-56x - 72y = -56 (multiply 8)
--------------------------------------------add
-23y = -161
y = 7

8x + 7y = -15
8x + 7(7) = -15
8x + 49 = -15
8x = -64
x = -8

answer
x = -8 and y = 7

4 0

3 years ago

I need help please?!):

motikmotik

Answer:

Option C: $\sqrt{\textbf{121}}$