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Elenna [48]
3 years ago
9

Correct answer gets marked brainliest!

Mathematics
1 answer:
laila [671]3 years ago
3 0

Answer:

y = -3x + 7

Step-by-step explanation:

Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 16}{-1 -(-3} = \frac{-6}{2} = -3.

We would get the same rate of change if we use any other two pairs of values in the data given.

Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.

To represent y as a function of x, find b, since we know the rate of change (m).

Substitute x = -3, y = 16 and m = -3 in y = mx + b.

Thus:

16 = (-3)(-3) + b

16 = 9 + b

Subtract 9 from each side

16 - 9 = b

7 = b

b = 7

Substitute m = -3 and b = 7 in y = mx + b

The function would be:

✅ y = -3x + 7

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What are the perfect square factors of 3150
Dvinal [7]

First, we must lay out all the factors of 3150 and they are:

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150

Among these numbers, the only perfect square are:

9, 25, 225

5 0
3 years ago
Read 2 more answers
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
4 years ago
Pls help I'll give brainliest !!​
posledela

Answer:

38 in

Step-by-step explanation:

P=w+w+h+h=18+18+6+6=26+12=38 in

4 0
3 years ago
Read 2 more answers
Gina started with the circle (x−2)2+y2=16. She translated it 4 units left and 1 unit down. Then she reduced the radius by 1 unit
olchik [2.2K]

Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

         → (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

5 0
3 years ago
BRAINLIEST, THANKS, 5 STARS ! Correct and fast answers needed!
DedPeter [7]

Answer:

I believe the answer is the second one. Hope this helps :))

3 0
3 years ago
Read 2 more answers
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