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Nady [450]
3 years ago
15

Find the slope of the line that passes through the given points

Mathematics
2 answers:
quester [9]3 years ago
3 0
The slope of an equation from two points can be found using the equation Δy / Δx (or the change in y over the change in x)  

6 - 1 / 2 - 3 = 5/-1 = -5

The slope is -5
Musya8 [376]3 years ago
3 0
The formula is Y= -5x + 16 and the slope is -5.
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What is the measure of
stepan [7]

Answer:

Angle A is 37 degrees, Angle B is 82 degrees, Angle C is 61 degrees

Step-by-step explanation:

Exterior angles are the supplement of interior angles, so subtract 143 from 180 to find Angle A.

180 - 143 = 37

All angles add up to 180.

37 + 61 = 98

180 - 98 = 82

Angle B is 82 degrees.

Hope this helped. :)

7 0
3 years ago
Find the distance between (2,4) and (12, 9) on a coordinate plane. round to the nearest tenth if necessary. *
atroni [7]
Use pythagoras

d = √(Δx² + Δy²)
d = √(12-2)² + (9-4)²
d = √(10² + 5²)
d = √(100 + 25)
d = √125
d = 5√5
d = 5 × 2.236
d = 11.18

The nearest tenth is 11.2, so the distance is near to 11.2
4 0
3 years ago
Solve, using linear combination. 5x + y = 2 4x + y = 4
mylen [45]
I hope this helps you

3 0
2 years ago
Solve this inequality.​ 4n-3<=21
icang [17]

The answer Will be: n<=6

5 0
2 years ago
Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe
solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for p such that 1000p(1-p) is maximized. Once we have that p, we can easily find the answer to part b.

Finding the value that maximizes 1000p(1-p) is the same as finding the value that maximizes p(1-p), just on a smaller scale. So, we really want to maximize p(1-p). To do this, we will do a trick called completing the square.

p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4.

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of p such that the inner part of the square term is equal to 0.

p-1/2=0\\p=1/2.

So, the answer to part a is \boxed{1/2}.

We can then plug 1/2 into the equation for p to find the answer to part b.

1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250.

So, the answer to part b is \boxed{250}.

And we're done!

3 0
2 years ago
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