2 years ago

What is the slope of a line parallel to the line with equation 2x−5y=9?

Mathematics

1 answer:

katrin2010 [14]2 years ago

4 0

Answer:

For this one the parallel slope is going to be 2/5

Step-by-step explanation:

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Draw a factor tree the prime factorization of 45 and 90 in the space provided below

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3 years ago

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The length of a rectangle is 4 times the width. the area is 256 square centimeters. find the length and width of the rectangle.

sukhopar [10]

Width=8
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3 years ago

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If x – 10 is a factor of x2 – 8x – 20, what is the other factor?

Svetach [21]

Answer:

The other factor is $(x+2)$

Step-by-step explanation:

we know that

$(x-a)(x-b)=x^{2}-xb-xa+ab$

$(x-a)(x-b)=x^{2}-(a+b)x+ab$

In this problem we have

$x^{2} -8x-20$

and

$a=10$ -----> because is a factor

substitute and solve for b

$x^{2} -8x-20=x^{2}-(10+b)x+10b$

$8=10+b\\b=-2$

Verify in the second equation

$-20=10b$ -----> $-20=10(-2)$ -----> $-20=-20$ --> is ok

The other factor is $(x+2)$

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3 years ago

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His composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.

Vera_Pavlovna [14]

We can solve by figuring the area of the rectangle then add it to the area of the semicircle.

Area of the rectangle: length · width = 6 · 10 = 60 ft²

Area of the semicircle: (πd²)/8 = (3.14 · 6²)/8 = (3.14 · 36)/8 = 14.13 ft²

Total area of the figure: 60 + 14.13 = 74.13 ft² ≈ 74 ft²

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3 years ago

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