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RideAnS [48]
3 years ago
8

Which pair of points has a slope of 4? Question 4 options: (0, 4), (4, 0) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, –3), (1, 1)

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

(0,-3) and (1,1)

Step-by-step explanation:

In order to have a slope of 4, the y coordinates need to differ by 4, and the x coordinates by 1. This is because slope is equal to rise/run. Rise being difference in y value and run difference in x.

In this pair of coordinates, the y coordinates differ in +4 (-3 and 1) and the x coordinate differs by 1 (0 and 1).

Therefore this is the pair of points with a slope of 4.

Hope this helped!

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if the area of a rectangle is expressed as x^4 - 9y^2, then the product of the length and the width of the rectangle could be ex
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Answer:the product of the length and the width of the rectangle could be expressed as

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

Step-by-step explanation:

If the area of a rectangle is expressed as x^4 - 9y^2, we would determine the dimensions by simplifying the given expression. The simplified expression becomes

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Let us check by multiplying each term in one parenthesis by each term in the other parenthesis to get the given expression. It becomes

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

△FEG is similar with △FHJ -----> by AA Similarity Theorem

so

\frac{FE}{FH}=\frac{FG}{FJ}

we have

FE=HF+EH=12+8=20\ units\\FH=HF=12\ units\\FG=30\ units

substitute the given values

\frac{20}{12}=\frac{30}{FJ}\\\\FJ=12(30)/20\\FJ=18\ units

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