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Vera_Pavlovna [14]
3 years ago
14

The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r. ​

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

The value of r is -24

Step-by-step explanation:

Given points are:

(1,r) and (5,-4)

Let the points be:

(x1,y1) = (1,r)

(x2,y2) = (5,-4)

m = 5

The slope is given by:

m = \frac{y_2-y_1}{x_2-x_1}\\5 = \frac{-4-r}{5-1}\\5 = \frac{-4-r}{4}\\5 * 4 = -4-r\\20 = -4-r\\20+4 = -4-r+4\\24 = -r\\r = -24

Hence,

The value of r is -24

Keywords: Slope, coordinates

Learn more about slope at:

  • brainly.com/question/1106840
  • brainly.com/question/10830549

#LearnwithBrainly

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professor190 [17]

1 Simplify n+5+-m-3n+8n+5+−m−3n+8 to n+5-m-3n+8n+5−m−3n+8.

11-2m-(n+5-m-3n+8)11−2m−(n+5−m−3n+8)

2 Collect like terms.

11-2m-((n-3n)+(5+8)-m)11−2m−((n−3n)+(5+8)−m)

3 Simplify (n-3n)+(5+8)-m(n−3n)+(5+8)−m to -2n+13-m−2n+13−m.

11-2m-(-2n+13-m)11−2m−(−2n+13−m)

4 Remove parentheses.

11-2m+2n-13+m11−2m+2n−13+m

5 Collect like terms.

(11-13)+(-2m+m)+2n(11−13)+(−2m+m)+2n

6 Simplify.

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8 0
3 years ago
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
Maurinko [17]

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

7 0
2 years ago
There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.
sasho [114]

Answer:

18

Step-by-step explanation:

0.25*75 = 18\\ (must round down for population)

8 0
2 years ago
Sixteen is no more than twice a number minus four.
Taya2010 [7]

16 ≤ 2x - 4 is the answer

3 0
3 years ago
Evaluate: 2xy^2-3xy-7 if x=-4and y=5
Margaret [11]

Answer:

-147

Step-by-step explanation:

-8 x 25 + 60 -7

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