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likoan [24]
3 years ago
11

Write a equation of a line that is perpendicular to y = -2/7x+9and pass through point (4,-6)

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

y = 7/2x - 20.

Step-by-step explanation:

The slope of the given line is -2/7,  therefore the slope of the line perpendicular to it is  - 1/ -2/7 = 7/2.

When x = -4, y = -6  so we substitute x1 = 4, y1 = -6 and m ( the slope) = 7/2 in the point slope form of a line:

y - y1 = m(x - x1)

y - (-6) = 7/2(x - 4)

y + 6 = 7/2x - 14

y = 7/2x - 20.

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AleksAgata [21]
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4 years ago
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Megan has $45.12 in her purse. She spends $7.89 for lunch and $21.25 for a pair of sunglasses.
tekilochka [14]

Answer:

15.98 dollars

Step-by-step explanation:

its really easy

we need to subtract the total amount that she has spent from the total amount that she had in her purse

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5 0
2 years ago
What is the surface area of this figure?
disa [49]

Answer:

72 sq. mi

Step-by-step explanation:

Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.

Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.

Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.

7 0
3 years ago
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Genrish500 [490]

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5 0
3 years ago
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