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3 years ago

Write the equation of the line that passes through the points (2,-6)and (-2,-4).Write the equation in slope intercept form

1 answer:

3 0

First find the slope
Slope formula: (y2-y1)/(x2-x1)
(-4-(-6))/(-2-2) = 2/-4 = -1/2
Slope intercept formula: y = mx + b
Y = -1/2x + b (solve for b)
Plug in any point
-6 = -1/2(2) + b
-6 = -1 + b, b = -5

Solution: y = -1/2x - 5

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3 years ago

Find the area of a circle with a circumference of 31.4 yards.

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A = 78.46 square yards

Step-by-step explanation:

A = (C^2)/4π

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3 years ago

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Caroline replaced the original factory tires (P240/75 R 16) on her pickup truck with P290/70R16 tires. If the speedometer on Cas

Irina-Kira [14]

Answer:

Cassie is traveling 63.6 mph

Step-by-step explanation:

If the three numbers, left to right, are A, B, C, then the tire radius in millimeters is ...

A×B/100 + 12.7×C

For the factory tires, the tire radius is ...

240·75/100 + 12.7·16 = 180 +203.2 = 383.2 . . . . millimeters

For the replacement tires, the tire radius is ...

290·70/100 +203.2 = 406.2 . . . . millimeters

The speedometer is calibrated based on the number of revolutions the tire makes in a given time period. If the truck goes farther for each revolution, its speed is higher by the same proportion.

If the speedometer on the truck with these replacement tires reads 60 mph, the actual speed is ...

(406.2/383.2)×60 mph = 63.6 mph

_____

Comment on the problem statement

Caroline's truck has the replacement tires. If Cassie's speedometer reads 60 mph, we have no reason to assume Cassie is traveling at any speed other than 60 mph.

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3 years ago

Help me please please please i need it

goldenfox [79]

Answer:

Step-by-step explanation:

Remark

If you take one radius whose length is r and start it at (0,0) on one end and (r,0) at the other, and sweep it around so the (r,0) hits every point on the circumference of the circle, the radius will go through 360°.

You have only gone through 120°. That's no problem. All you have to do now is add a fraction that adjusts for the 120°.

Formula

Arc length = fraction * 2*pi * r

2*pi * r is the circumference

Arc Length = 2* (120/360) * pi * r

Givens

r = 13

pi = 3.14

Solution

Arc Length = (120/360) * 2 * pi * 13

Arc Length = 27.21

Answer

Arc Length = 27.21

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2 years ago