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qaws [65]
2 years ago
9

Find the value of r so the line that passes through each pair of points has the given slope.

Mathematics
1 answer:
3241004551 [841]2 years ago
7 0

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

\frac{5-r}{6}=\frac{2}{3}

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

5 - r = 4

subtract 5 from both sides

-r=-1

multiply both sides by -1

r=1

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You start at (-1, 4). You move left 4 units and down 3 units. Where do you end?
Margarita [4]

Answer:

(-5,1)

Step-by-step explanation:

6 0
3 years ago
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A poster is 3 feet long and 30 inches wide. What is the area, in feet, of the painting?
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Answer:

90 feet

Step-by-step explanation:

30x3=90

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How many feet long is the fence ?
grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.

7 0
3 years ago
2+5 is going to be a long one ne
andrew-mc [135]

Answer: 7

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4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
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Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

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Perpendicular equation

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y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

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So,

y = mx + c

y = (-1/2)x + 21/2

7 0
3 years ago
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