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tatiyna
3 years ago
11

Write the quadratic equation whose roots are −2 and −6 , and whose leading coefficient is 1 .

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0
(x+2)(x+6)=0
x^2 +2x+6x+12=0
Answer:   x^2+8x+12=0
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Find the slope of the line.
pickupchik [31]
There are several ways to do this.
I'll show you two methods.

1) Pick two points on the line and use the slope formula.
Look for two points that are easy to read. It is best if the points are on grid line intersections. For example, you can see points (-4, -1) and (0, -2) are easy to read.
Now we use the slope formula.

slope = m = (y2 - y1)/(x2 - x1)

Call one point (x1, y1), and call the other point (x2, y2).
Plug in the x1, x2, y1, y2 values in the formula and simplify the fraction.

Let's call point (-4, -1) point (x1, y1).
Then x1 = -4, and y1 = -1.
Let's call point (0, -2) point (x2, y2).
Then x2 = 0, and y2 = -2.

Plug in values into the formula:

m = (y2 - y1)/(x2 - x1) = (-2 - (-1))/(0 - (-4)) = (-2 + 1)/(0 + 4) = -1/4

The slope is -1/4

2) Pick two points on the graph and use rise over run.
The slope is equal to the rise divided by the run.
Run is how much you go up or down.
Rise is how much you go right or left.

Pick two easy to read points.
We can use the same points we used above, (-4, -1) and (-0, -2).
Start at point (0, -2).
How far up or down do you need to go to get to point (-4, -1)?
Answer: 1 unit up, or +1.
The rise is +1.
Now that we went up 1, how far do you go left or right top go to point (-4, -1)?
Answer: 4 units to the left. Going left is negative, so the run is -4.
Slope = rise/run = +1/-4 = -1/4

As you can see we got the same slope using both methods.
6 0
4 years ago
Question<br> Write the word sentence as an inequality.<br><br> A number y is no more than −8.
vekshin1

Hey there mate ;)

As per question :-

<em>Write the word sentence as an inequality</em><em>.</em><em> </em><em>A number y is no more than −8.</em>

To make the sentence as an inequality, the answer will be:-

<h2> <u>y < -8</u></h2>

Reason:-

By considering 'y' as a number, it is told that the number is not bigger than the value -8. So, by simple arithmetic, the answer will be <em>y</em><em> </em><em><</em><em> </em><em>-8</em>

5 0
3 years ago
A fair spinner has 10 equal sections: 3 red, 4 blue and 3 green.
Sunny_sXe [5.5K]
1/3 chance of landing on it twice
8 0
4 years ago
The members of the math club are buying t-shirts. The shirts will cost $5.00 each plus a one-time fee of $20.00 for the design o
marta [7]

Answer is the choice B

3 0
3 years ago
Read 2 more answers
Solve<br> -8x - 3y = -5<br> -2x + 7y = -9
k0ka [10]

Answer:

x = 1

y = - 1

Step-by-step explanation:

-8x - 3y = -5

-2x + 7y = -9  | × (-4)

-8x - 3y = - 5

8x - 28y = 36  +

________________

- 8x + 8x - 3y - 28y = - 5 + 36

- 31y = 31

31y = - 31

y = - 1

- 8x - 3(-1) = - 5

- 8x + 3 = - 5

- 8x = - 8

8x = 8

x = 1

6 0
4 years ago
Read 2 more answers
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