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shtirl [24]
3 years ago
7

If an equation of a line is y - 5 = m(x-2) and (1,1) is a point on the graph, what is m?

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

m=4

Step-by-step explanation:

given equation is

y-5=m(x-2)

put given point in above equation

1-5=m(1-2)

-4=m(-1)

-4=-m

m=4


BartSMP [9]3 years ago
3 0

Answer:

m = 4

Step-by-step explanation:

Substitute x = 1, y = 1 , that is(1,1) into the equation

1 - 5 = m(1 - 2)

- 4 = - m ( multiply both sides by - 1 )

m = 4


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Which is an equation of the line that goes through the points ( 4, 1) and
Aloiza [94]

Answer:

  none of the above

Step-by-step explanation:

You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.

___

You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given points, we get ...

  y = (3 -1)/(2 -4)·(x -4) +1

  y = 2/(-2)(x -4) +1 . . . . . simplify a bit

  y = -x +4 +1 . . . . . . . . . simplify more

  y = -x +5 . . . . . . . . . . . slope-intercept form

5 0
3 years ago
Let x be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by f(x)=⎧⎩⎨⎪⎪⎪
sattari [20]

Option a is correct. The calculated answer is 0.150

<h3>How to get the value using the cdf</h3>

In order to get  P(0.5 ≤ X ≤ 1.5).

This can be rewritten as

p = 0.5

and P = 1.5

We have the equation as

\frac{1}{16} x^{2}

This would be written as

1.5²/16 - 0.5²/16

= 0.1406 - 0.015625

= 0.124975

This is approximately 0.1250

Read more on cdf here:

brainly.com/question/19884447

#SPJ1

<h3>complete question</h3>

Use the cdf to determine P(0.5 ≤ X ≤ 1.5).

a) 0.1250

b) 0.0339

c) 0.1406

d) 0.0677

e) 0.8750

f) None of the above

4 0
2 years ago
The width of a rectangle is 12 inches more than the length. The perimeter is 76 inches. Find the width and the length.
stira [4]

Answer:

The length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

Step-by-step explanation:

You have to consider the formula of the perimeter = 2·length + 2·width.

If we call "x" to the length ⇒ width = x + 12 .

Perimeter = 2x + 2·(x + 12) ⇒ Perimeter = 2x + 2x + 24

⇒Perimeter = 4x + 24. ⇒ 76 = 4x + 24 ⇒ 76 - 24 = 4x ⇒52 = 4x

⇒ 52/4 = x ⇒ x = 13.

So, the length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

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\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ -1 &,& -3~) &#10;%  (c,d)&#10;&&(~ -7 &,& -5~)&#10;\end{array}&#10;\\\\\\&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;r=\sqrt{[-7-(-1)]^2+[-5-(-3)]^2}\implies r=\sqrt{(-7+1)^2+(-5+3)^2}&#10;\\\\\\&#10;r=\sqrt{36+4}\implies r=\sqrt{40}\\\\&#10;-------------------------------

\bf \textit{equation of a circle}\\\\ &#10;(x- h)^2+(y- k)^2= r^2&#10;\qquad &#10;center~~(\stackrel{-1}{ h},\stackrel{-3}{ k})\qquad \qquad &#10;radius=\stackrel{\sqrt{40}}{ r}&#10;\\\\\\\&#10;[x-(-1)]^2+[y-(-3)]^2=(\sqrt{40})^2\implies (x+1)^2+(y+3)^2=40
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