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3 years ago

Someone please help

Mathematics

2 answers:

Talja [164]3 years ago

8 0

Answer:

yes, it passes through the origin and has a 1 slope.

the car traveled 100 miles in 2 hours.

the car traveled 250 miles in 5 hours.

the car traveled 50 miles in 1 hour.

Step-by-step explanation:

Flauer [41]3 years ago

3 0

Answer:

[see below]

Step-by-step explanation:

For Question a:

The graph is proportional because the line passes though (0,0) as it's y-intercept.

Also, if we had a ratio of the number hours to the number of miles, it simplify to 1:50

1:50

2:100 = 2/2:100/2 = 1:50

3:150 = 3/3:150/3 = 1:50

And so on...

For Questions b-d:

'x' represents the number of hours driven. 'y' is the number of miles the car has driven.

So, "(x, y) means that the car has driven 'y' miles in the matter of 'x' hours."

This means that:

(2, 100) means that the car has driven 100 miles in the matter of 2 hours.

(5, 250) means that the car has driven 250 miles in the matter of 5 hours.

(1, 50) means that the car has driven 50 miles in the matter of 1 hour.

Hope this helps.

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Two buses depart two cities moving in the same direction. The speed of the first bus is 54 mph which is 60% of the speed of the

Stells [14]

Answer: Distance between the buses 24 minutes after the departure is given by $36-21.6=14.4\ miles$

Step-by-step explanation:

Since we have given that

Speed of first bus = 54 mph

Speed of second bus is given by

$54=60\%\times \text{Speed of second bus}\\\\\dfrac{54}{0.6}=\text{Speed of second bus}\\\\90\ mph=\text{Speed of second bus}$

Distance covered in 24 minutes by the first train is given by

$54\times \dfrac{24}{60}\\\\=21.6\ miles$

Distance covered in 24 minutes by the second train is given by

$90\times \dfrac{24}{60}\\\\=36\ miles$

Hence, Distance between the buses 24 minutes after the departure is given by $36-21.6=14.4\ miles$

4 0

3 years ago

I will give brainliest! Express the equation 1/4(y + 12) = (x - 5)² in the form y= a(x - h)² +k. **This is high-school coordinat

snow_lady [41]

Answer:

$\Large \boxed{\sf \bf \ \ y=4(x-5)^2-12 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

$\dfrac{1}{4}(y + 12) = (x - 5)^2\\\\\text{We multiply by 4 both sides of the equation.}\\\\y+12=4(x-5)^2\\\\\text{We subtract 12 from both sides of the equation.}\\\\y=4(x-5)^2-12=a(x-h)^2+k$

So a = 4, h = 5 and k = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago

I need to solve for the variables. 8th grade math. Thanks

spin [16.1K]

Use Photomath for the answers :)

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3 years ago

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Mekhanik [1.2K]

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3 years ago

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Vlad [161]

I think the answer is C hope it helps

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3 years ago