3 years ago

Find the distance between the two points (-4,6) and (3,-7)

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

$( - 4.6) + (3. - 7) = 0.6$

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At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati

Ganezh [65]

Answer:

$y=7x-513$

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{124-61}{91-82}$

$m=\frac{63}{9}=7$

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=7$ ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

$61=7(82)+b$

$61=574+b$

$b=-513$

substitute

$y=7x-513$

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3 years ago

98x24(100-2)x24 using the distributive property

boyakko [2]

Answer:

98 x 24 = 2352

2352 x 2400 = 5,644,800

2352 x (-48) = - 112,896

5,644,800 - 112,896 = 5,531,904

5,531,904 x 24 = 132,765,696

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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