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melisa1 [442]
3 years ago
14

Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....

Mathematics
2 answers:
shutvik [7]3 years ago
7 0

Answer:

The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

Step-by-step explanation:

Formula for slope

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

m = \frac{- 5- (-4)}{1 - 8}

m = \frac{- 5 + 4}{1 - 8}

m = \frac{- 1}{-7}

m = \frac{1}{7}

Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

Vaselesa [24]3 years ago
7 0
The slope is 1/7.
Reason:
-5+4       -1        1
------  =  ----- = -----
 1-8        -7        7
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Is anyone good with triangle inequalities? I provided a picture for the problem.
alisha [4.7K]

Answer:

1 < x < 19

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given the measures y=10, z=9. The third side must satisfy:

10 - 9 < x < 10 + 9

1 < x < 19

3 0
3 years ago
If m&lt;1 is the supplement of m&lt;2 and the measure of each angle is given:
svp [43]

Answer:

m<1 = 121°

m<2 = 59°

Step-by-step explanation:

If m<1 is the supplement of m<2 and the measure of each angle is given:

m<1=2x+65

m<2=3x-25

Find m<1:

When two angles are supplement of each other, there sum is equal to 180°

i.e m<1 + m<2 = 180°

Putting values and finding angle 1

2x+65+3x-25=180\\5x+40=180\\5x=180-40\\5x=140\\x=\frac{140}{5}\\x=28

So, we get x=28

Now finding m<1 by putting x=28

m

Now, finding m<2 by putting x=28

m

So, we get:

m<1 = 121°

m<2 = 59°

8 0
3 years ago
Find the product of 9x(-3x²y-7xz)
kogti [31]

Answer:

- 27 {x}^{3} y - 63 {x}^{2} z

Step-by-step explanation:

9x( - 3 {x}^{2} y - 7xz)

= 9x \times ( - 3 {x}^{2} y)  + 9x \times ( - 7xz)

=  - 27 {x}^{3} y - 63 {x}^{2} z

4 0
3 years ago
PLEASE HELP!!
Rom4ik [11]
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4 0
3 years ago
9. Find the value of x. Round to the nearest degree.
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3 years ago
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