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2 years ago

Write an equation of the line passing through the point (7,3) that is parallel to the line y=2x-4.

Mathematics

1 answer:

SashulF [63]2 years ago

3 0

Answer:

y=2x-11

Step-by-step explanation:

arralel lines have same gradient

since gradient of the known line is 2( the coefficient of x), it therefore follows that the gradient of the second line we want to find is also 2

So we know the gradient of the second line is 2, and we have one known point (7,3). We can therefore apply the formula for finding gradient to come up with the line

$2=\frac{y-3}{x-7} \\\\y-3=2(x-7)\\\\y-3=2x-14\\\\y=2x-14+3\\\\y=2x-11$

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Please help, timed! Will mark brainliest!!

True [87]

Answer:

The answer would be b!

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3 years ago

Two cars are 190 miles apart and travel toward each other along the same road. They meet in 2 hours. One car travels 5 miles per

horrorfan [7]

The speed of slower car is 45 mph and faster car is 50 mph.

Step-by-step explanation:

Given,

Distance covered by both cars = 190 miles

Time taken by both of them = 2 hours

Let,

x be the speed of slower car.

Speed of faster car = x+5

Combined speed = x+x+5 = 2x+5

We know that;

Distance = Speed * Time

$190=(2x+5)*2\\190=4x+10\\4x=190-10\\4x=180\\$

Dividing both sides by 4

$\frac{4x}{4}=\frac{180}{4}\\x=45$

Speed of slower car = 45 miles per hour

Speed of faster car = 45+5 = 50 miles per hour

The speed of slower car is 45 mph and faster car is 50 mph.

Keywords: speed, distance

Learn more about speed at:

#LearnwithBrainly

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3 years ago

A car moved at a speed of 90km/hr for 3 minutes.What distance did it cover?

aniked [119]

Answer:

270kilometers

Step-by-step explanation:

To find the distance, all you have to do is the speed · time

In these types of distance time and word problems, you multiply the other factors, 90 and 3, The time(T) · The speed(S)

So. 90(S) · 3(T) = 270(D)

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3 years ago

20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below an

blsea [12.9K]

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

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3 years ago

A cargo grain leaves Chicago at noon travelling west at 120 km/h. At 2 pm, a passenger train leaves Chicago travelling east at 3

AfilCa [17]

Answer:

a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

Step-by-step explanation:

a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:

$x_{1} = v_{1}t_{1} = 120 km/h*2h = 240 km$

Now, we can find the time when the trains will be 1520 km apart:

$1520 km = (x_{1} + 240 km) + x_{2}$

Where 1 is for the cargo train and 2 is for the passenger train.

$1520 km = (v_{1}*t_{1} + 240 km) + v_{2}t_{2}$

Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:

$1520 km = (v_{1}*t + 240 km) + v_{2}t$

$t = \frac{1520 km - 240 km}{120 km/h + 360 km/h} = 2.667h$

For the cargo train, it will be 1520 km apart from the passenger train at:

$t_{1} = 12 pm + 2 h + 40 min = 2:40 pm$

And for a passenger train, it will be 1520 km apart from the cargo train at:

$t_{2} = 2 pm + 2 h + 40 min = 4:40 pm$

Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) The distance traveled by both trains is given by:

$x_{1} = v_{1}*t + 240 km = 120 km/h*2.667 h + 240 km = 560.04 km$

$x_{2} = v_{2}*t = 360 km/h*2.667 h = 960.12 km$

Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

I hope it helps you!

5 0

3 years ago

Write an equation of the line passing through the point (7,3) that is parallel to the line y=2x-4. ​

Write an equation of the line passing through the point (7,3) that is parallel to the line y=2x-4.