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2 years ago

45 miles per hour ? miles per minute

Mathematics

2 answers:

hjlf2 years ago

8 0

if its 45 miles per hour then, 0.75 mile/minute.

fenix001 [56]2 years ago

6 0

Answer:

1.334 miles per hour

Step-by-step explanation:

There are 60 minutes in an hour

So divide 60 by 45

and you would get 1.334

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

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

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

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

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

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

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

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

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

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

3 years ago

Which expression is equivalent to (5^-2)(5^-1)

nadya68 [22]

The rule for multiplying similar bases with exponents:

(a^b)(a^c)=a^(b+c)

In this case we have:

(5^-2)(5^-1)

5^(-2-1)

5^(-3)

The rule for negative exponents:

a^(-b)=1/(a^b)

So in this case:

5^(-3) is equal to

1/(5^3)

1/125

5 0

3 years ago

Read 2 more answers

What is the answer to 4x + 26

worty [1.4K]

Answer:

This cannot have an answer since this is a expression not a equation. If it was something like 4x+26=100, there will be a answer. but this cannot have an answer.

5 0

3 years ago

Read 2 more answers

A sketch of Jessie's neighborhood is shown below. Which equation can Jessie use to determine x, the distance from

lana66690 [7]

Answer:

the equation that determines the length of the base, sorry i forgot the name of it

Step-by-step explanation:

5 0

3 years ago

What is 8.525 rounded to the nearest hundredth

ozzi