For exercises 16-18 , trace each figure and draw its rotated image

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

The answer is r(b x p) d

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I need help plz help me

Andrej [43]

Answer:

Step-by-step explanation:

It appears to be the last step there that has evaded you. In the second line of work, you can see that what's in each set of parenthesis is exactly the same. Because of this, it is common and can be factored out. What's left is the 4x and the +5:

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

That's factoring by grouping. It only works with polynomials that have an even number of terms so you can group them together in 2's.

3 0

4 years ago

Would do anything for the answer to this question

olga_2 [115]

Given:

The length of the entire rectangle is 10x + 7.

The width of the entire rectangle is 6x.

The length of the unshaded rectangle is 4x - 5.

The width of the unshaded rectangle is 2x.

We need to determine the area of the shaded region of the rectangle.

Area of the entire rectangle:

The area of the entire rectangle can be determined using the formula,

$A=length \times width$

Substituting the values, we have;

$A_1=(10x+7)(6x)$

$A_1=60x^2+42x$

Thus, the area of the entire rectangle is 60x² + 42x

Area of the unshaded rectangle:

The area of the unshaded rectangle can be determined using the formula,

$A=length \times width$

Substituting the values, we have;

$A_2=(4x-5)(2x)$

$A_2=8x^2-10x$

Thus, the area of the unshaded rectangle is 8x² - 10x

Area of the shaded region of the rectangle:

The area of the shaded region of the rectangle can be determined by subtracting the area of the entire rectangle by the area of the unshaded rectangle.

Thus, we have;

$A=A_1-A_2$