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harina [27]
3 years ago
15

A. Write an expression for the area of the shaded region.

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

A. 25x² - 64

B. (5x + 8)(5x - 8)

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = 25x^2 - 64

B. The expression, 25x^2 - 64, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, a^2 - b^2 = (a + b)(a - b)

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

25x^2 - 64 = (5x + 8)(5x - 8)

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6 0
3 years ago
The figure is a parallelogram. One diagonal measures 28 units.
Georgia [21]

Answer:

It is not a rectangle

Step-by-step explanation:

A rectangle is a shape with 4 sides, such that we have two pairs of parallel sides, where the length of the parallel sides is equal.

so we have two parallel sides with length L and two parallel sides with length L'.

In this figure ,we can see two sides with length 20 and other two with length 21, and this is a rectangle only if the sides meet at 90°degree angles (this would mean that the opposite sides are parallel)

To see this, we can think that the triangle formed by the diagonal and two sides is a triangle rectangle, then using the Pythagorean theorem we should have that:

20^2 + 21^2 = 28^2

841 = 784

So this is not a triangle rectangle, meaning that the angle between the side of 20 and the side of 21 is not a right triangle, then the figure is not a rectangle.

Therefore, it is not a rectangle

Hope u understand

Please mark the brainliest

Thank You

7 0
3 years ago
HELPP WHATS THE ANSWERRR
sergejj [24]

Answer:

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Step-by-step explanation:

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Each of the 9 dogs, weighs less than 4.5 pounds. How many total
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Step-by-step explanation:

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3 years ago
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