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IgorLugansk [536]
4 years ago
10

Factor out this expression: 4x² - 9y2

Mathematics
1 answer:
Marta_Voda [28]4 years ago
5 0

Answer:

(2x+3y)(2x-3y)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

4x² - 9y²

= (2x)² - (3y)²

= (2x + 3y)(2x - 3y)

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We are interested in the dimensions of a certain rectangle. This rectangle has length triple the side of the square and width tw
sukhopar [10]
Let s be the side of the square. The length of the rectangle is 3s and its width is equal to s - 2. From the given condition,
                              A (square) = A (rectangle)
                                 s² = (3s)(s - 2)
                                 s² = 3s² - 6s
                                   -2s² = -6s
                                       s = 3
Thus, the length of the rectangle is 9 and its width is 1
4 0
3 years ago
If the area of a circle is 136.45, what is it’s circumference?
lora16 [44]
The area of a circle = pi * radius squared. so if the area = 136.45, start by dividing by pi to get about 43.43. this means the radius squared = 43.43. square root both sides to get about 6.59 = radius of the circle. the circumference can be found by multiplying the diameter * pi. since the diameter = the radius * 2, we know the diameter of the circle is 13.18. multiply by pi to find the circumference, which would be about 41.41.
5 0
4 years ago
Rachel is mailing packages. Each small package costs her $2.60 to send. Each large package costs her$4.10. How much will it cost
Tresset [83]

Answer:

$7.8

Step-by-step explanation:

$2.6 x 3

= $7.8

3 0
3 years ago
This figure consist of a rectangle a semi circle and a quarter circle what is the perimeter of this figure use 3.14 for pi
alexandr402 [8]

Answer:

37.55 m

Step-by-step explanation:

To find the perimeter, we have to add the lengths of each part of the figure.

We start from the circle on top. We see that its diameter is 10 m, therefore its radius is

r = 5 m

(because the radius is half the diameter). The perimeter of a circle is given by

p=2 \pi r

However, here we have half a circle, so its perimeter is

p_1 = \pi r=(3.14)(5)=15.7 m

Then continuing in a clockwise direction, we have to add the length of the side of 2 m:

p_2 = 2 m

Then we have two sides of a square of side 5 m, so:

p_3 = 5 m + 5 m= 10 m

Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:

p_4 = \frac{\pi r}{2}=\frac{\pi (5)}{2}=7.85 m

Finally, we have one more side of length 2 m:

p_5 = 2m

Therefore, the total perimeter is:

p=p_1+p_2+p_3+p_4+p_5=15.7+2+10+7.85+2=37.55 m

4 0
4 years ago
MATH LOVERS I NEED YOU!! Please do both pages,
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Hopefully that’s right
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3 years ago
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