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Anastaziya [24]
3 years ago
15

Need help finding the parallel and perpendicular slope

Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

Step-by-step explanation:

(x₁, y₁) = (19 , -4)   & (x₂ ,y₂) = (17, -20)

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

        = \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8

m = 8

Parallel lines have same slope.

Parallel slope = 8

Slope of perpendicular line = \frac{-1}{m}

Perpendicular slope = \frac{-1}{8}

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2. The line that passes through the points (-6, p)
Kobotan [32]
Answer: -26=p


Explanation: The slope formula is m=(y2-y1)/(x2-x1).

Thus, we have 6=(2-p)/(-10-(-6)).

Combining the xs gives us 6=(2-p)/-4.

Multiplying both sides by -4 leaves us with -24=2-p.

We do -24-2 to isolate p and find that p=-26.
5 0
2 years ago
Express the following numbers as a product of their prime factors <br> 24<br> Please show working
Studentka2010 [4]

Answer:

2 x 2 x 2 x 3

Step-by-step explanation:

Find two numbers that multiply together to form 24:

2 x 12 = 24

Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:

2 x (2 x 6) = 2 x 12 = 24

Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:

2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24

Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.

8 0
3 years ago
In general, the y intercept of the function F(x)= a•b^x is the point
serg [7]

The y intercept of this function is always (0, a).


This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.


F(x) = a*b^x

F(0) = a*b^0

F(0) = a*1

F(0) = a


And for an example with a random number, we'll use a = 5 and b = 3


F(x) = 5*3^x

F(0) = 5*3^0

F(0) = 5*1

F(0) = 5


No matter what a and b equal, the intercept will be the a value.

4 0
3 years ago
Write the equation of the line given the graph. Enter your equation in y=mx+b without spaces.
love history [14]
The answer is y=-2/3+2 because the line crosses at 2, which is the y-intercept. It goes down two times and runs three times making the slope -2/3.
5 0
2 years ago
Select all sets that contain the number 0.
Maru [420]
A and E
Whole numbers and integers
4 0
3 years ago
Read 2 more answers
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