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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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iris [78.8K]
-4t> -2/4
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4t<-1/2
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5 0
3 years ago
At the start of a tennis match Ivan had 28/32 quart of water in his water bottle. He drank water from the bottle during the matc
const2013 [10]

Answer:

5/8 of a quart.

Step-by-step explanation:

That would be 28/32 - 1/4

= 28/32 - 8 /32

= 20/32  

= 5/8 of a quart.

5 0
3 years ago
ALGEBRAIC PROOF!!!! PLS HELP!!! The area of a rectangular blanket is 20 square feet. The blanket's length is (2x + 1) ft and the
Fynjy0 [20]

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

7 0
2 years ago
Emma's final grade in her math class is the average (mean) of her 5 chapter tests she took throughout the year. If she received
NikAS [45]

Answer:

Step-by-step explanation:

The mean (or average) of a set of numbers can be found with the following formula:

Mean = \frac{A_{1} + A_{2} + ... + A_{N}}{N}

For this problem, we have five numbers, so we add them together and divide by 5:

Mean = \frac{92 + 85 + 78 + 97 + 88}{5}

Mean = \frac{440}{5}

Mean = 88

8 0
3 years ago
Read 2 more answers
Ples help will mark brainliest if 2 answers.
BabaBlast [244]

Answer:

see below

Step-by-step explanation:

Choose a couple of values for x. Figure out the corresponding values for y. Plot those points and draw a line through them.

Let's choose x=0 and x=4. Then the corresponding y-values are ...

y = 2·0 = 0 . . . . . point (x, y) = (0, 0)

y = 2·4 = 8 . . . . . point (x, y) = (4, 8)

These are graphed below.

7 0
3 years ago
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