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2 years ago

what is the equation for the line that passes through the given point and is parallel to the graph of y=2/3x+19; (-9, 4)

Mathematics

1 answer:

alex41 [277]2 years ago

6 0

Answer:

Step-by-step explanation:

We're given the line

$y = \frac{2}{3}(x) + 19$

The slope of the line is $\frac{2}{3}$

We have to find another line with the same slope that goes through the point

$(-9, 4)$ . We can solve this by using

$y = mx + b\\y = \frac{2}{3}(x) + b\\4 = \frac{2(-9)}{3} + b\\4 = -6+ b\\b = 10\\\\y = \frac{2}{3}(x) + 10$

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Step-by-step explanation:

Since we have given that

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2 years ago

What is the solution to the system of equations? 3x - 6y = -12, x -2y =-8.

Xelga [282]

Answer:

Step-by-step explanation:

First, we need to write down the equations so we can have a vision of the equations.

3x - 6y = -12

x - 2y = -8

Now we find the simpler equation, and we make it to where one of the variables is on one side.

Let's use the bottom equation.

x = 2y - 8

Now we plug in the equation to the other equation.

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1 year ago

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3 years ago

A car travels at a constant speed of 45 km per hour for 5 min each wheel has a radius of 25 centimeters calculate the number of

Arisa [49]

Answer:

477.47 revolutions

Step-by-step explanation:

From the information given:

The formula for calculating the circumference = 2π r

Given that the radius of each wheel = 25 centimeter

Then, the circumference = 2 π (25)

= 50π cm

The distance traveled in 5 minutes is as follows:

Given that:

The speed = 45 km/ hour

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1 hour = 45 km

In an hour, we have 60 minutes

So, 60 minutes = 45 km

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To cm;

0.75 km = (0.75 × 1000) m = 750 m

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2 years ago

what is the equation for the line that passes through the given point and is parallel to the graph of y=2/3x+19; (-9, 4)​

what is the equation for the line that passes through the given point and is parallel to the graph of y=2/3x+19; (-9, 4)