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balu736 [363]
4 years ago
9

Find the slope of the line that passes through each pair of points

Mathematics
1 answer:
AnnZ [28]4 years ago
3 0

Use the slope formula: \frac{y2-y1}{x2-x1}

1. (4, 9), (1, -6)

\frac{-6-9}{1-4} = \frac{-15}{-3} = 5

2. (2, 5), (6, 2)

\frac{2-5}{6-2} = \frac{-3}{4}

3. (4, 3.5), (-4, 3.5)

\frac{3.5-3.5}{-4-4} = \frac{0}{-8} =0

4. (1, -2), (-2, -5)

\frac{-5-(-2)}{-2-1} =\frac{-3}{-3}  = 1

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To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

x^2+bx

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

(b/2)^2

In the given equation, we have:

(x^2-8x)-10

The b term here is 8. Therefore:

(8/2)^2\\=(4)^2\\=16

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

(x^2-8x)-10\\=(x^2-8x+16)-10-16\\

The expression inside the parentheses is now a perfect square trinomial. Factor it:

=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26

And we are done!

4 0
3 years ago
Read 2 more answers
18x + 24 = 12x +14. Find the value of (x)​
densk [106]

Answer:

X = -10/6

X = -1,666666666666667

Step-by-step explanation:

First at all you join the X's

18x-12x = 14-24

Then you simplified:

6x = -10

X = -10/6

X = -1,666666666666667

3 0
3 years ago
Read 2 more answers
Write an equation of the circle with center (-3, 4) and radius 6.
Sedaia [141]

Answer:

(x+3)²+(y-4)²=36.

Step-by-step explanation:

For this, we need to use the equation of a circle which is:

(x-h)²+(y-k)²= r²

Simply substitute the center values for 'h,k', and the radius for 'r'.

This will give you:

(x+3)²+(y-4)²=36.

3 0
4 years ago
St 2
Lubov Fominskaja [6]

Answer:

$5.5

Step-by-step explanation:

6 * N (notebook) + 3 * P (pen) = 27

n = 1.5 +P

6 * (1.5 + P) + 3 * P = 27

9 +6p +3p = 27

9p = 18

p (pen): $2

N (notebook): $3.5

combined cost of 1 pen and 1 notebook: $2 + $ 3.5 = $ 5.5

3 0
3 years ago
The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B? (−42,20) (−22,4) (−13,7) (
statuscvo [17]

Answer:

B (-22 ,  4)

Step-by-step explanation:

-16=(-10+x)/2

*2      *2

-10+x=-32

+10       +10

x=-22

6=(8+y)/2

*2      *2

12=8+y

-8    -8

4=y

so B(-22,  4)

6 0
4 years ago
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