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ruslelena [56]
3 years ago
13

What is an equation of the line that passes through the point (-3,-1) and is

Mathematics
1 answer:
Yuri [45]3 years ago
6 0

Answer:

y = -2x - 7

Step-by-step explanation:

x - 2y = 6

   -2y = -x + 6

Divide the whole equation by (-2)

\frac{-2y}{-2}=\frac{-x}{-2}+\frac{6}{-2}\\\\y = \frac{1}{2}x - 3

slope = 1/2

Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/2)

                                                                      =(-1)*\frac{2}{1}\\\\= -2

(-3, - 1)

y -y1 = m(x -x1)

y - [-1] = -2(x - [-3])

y + 1 = -2(x + 3)

y + 1= x* (-2)  + 3*(-2)

y + 1 = -2x - 6

    y = -2x - 6 - 1

     y = -2x - 7

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What is the slope-intercept form of 12x + 4y = 32?
valentina_108 [34]

Answer:

D. y=-3x+8

Step-by-step explanation:

first, get the 12x on the other side of the equation

12x+4y-12x=32-12x

4y=-12x+32

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Hope this helps!

5 0
3 years ago
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kow [346]
Is there any answer choices to what we are looking for?
7 0
3 years ago
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave
USPshnik [31]

Answer:

Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be x.

And the time Julio travel by walking be y.

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

x+y=7

y=7-x\ \ \ .......(1)

So, the distance travelled by bike:

Speed × time

8\times x=8x

And, the distance travelled by walking:

Speed × time

7\times y=7y

Now, the total distance travelled by Julio:

8x+7y=52

Substituting the value of x from equation (1) we get:

8x+7(7-x)=52

8x+49-7x=52\\\\x+49=52

<em>Subtracting both sides by 49 we get:</em>

x=3.

<em>The time Julio travelled with bike = 3 hours.</em>

Now, to get the time Julio travelled by walking by substituting the value of x:

y=7-x\\\\y=7-3\\\\y=4\ hours.

<em>The time Julio travelled by walking = 4 hours.</em>

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0
3 years ago
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