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Olegator [25]
3 years ago
7

Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6). Qu

estion 3 options: a) y = –3x + 6 b) y = 13x − 2 c) y = 13x + 2 d) y = 3x – 6
Mathematics
2 answers:
patriot [66]3 years ago
7 0

Hello there,

Well first we need to write down what we know/what are we finding out...

 - the original line has the equation of x - 3y = 5

 - we are finding the equation of the line that is perpendicular

Now we start by changing the original equation to slope-intercept form:

  • x - 3y = 5 as slope-intercept form would be y = 1/3x -5/3

Perpendicular lines have the negative reciprocal slopes so the new line has to have the slope as -3.

Option A would be the correct answer: a) y = -3x + 6

Hope I helped,

Amna

Nikitich [7]3 years ago
3 0

Answer:

a) y=-3x+6

Step-by-step explanation:

finding the slope of the given line:

-3y=-x+5

y=(1/3)x-(5/3)

since our new line has to be perpendicular to this line, our new line will have slope m=-3

putting these quantities into point-slope form:

y-6=-3(x-0)

converting to slope-int:

y=-3x+6

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The plane flew for 3 hours at 105mph and 115mph for 5 hours

Step-by-step explanation:

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3 years ago
The table shows data from a travel agency, representing the number of guests on a trip (x) and the estimated dollar
Arlecino [84]

The slope of the best fit for the 3 given points is 500, so the correct option is b.

<h3>How to find the slope?</h3>

Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

s = \frac{y_2 - y_1}{x_2 - x_1}

With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.

The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)

Then the 3 slopes are:

s_1 = \frac{4,200 - 2,750}{6 - 3} = 483.3\\\\s_2 =  \frac{5,750 - 2,750}{9 - 3} = 500\\\\s_3 =  \frac{5,750 - 4,200}{9 - 6} = 516.7

The average slope is:

S = (483.3 + 500 + 516.7)/3 = 500

So the correct option is b.

If you want to learn more about slopes:

brainly.com/question/1884491

#SPJ1

6 0
2 years ago
if the sum of the first 60 positive integers is s, what is the sum of the first 120 integers in terms of s? a. 2s 3600 b. s^2 36
kvasek [131]
For the first 60 positive integers, a = 1, n = 60, l = 60.
Sn = n/2(a + l)
s = 60/2(1 + 60) = 30(61)

For the next 60 positive integer, a = 61, n = 60, l = 120
Sum = 60/2(61 + 120) = 30(61 + 120) = 30(61) + 30(120) = s + 3600

Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
6 0
3 years ago
The elevation of lake sam rayburn is 164 above mean sea level during the summer if it does not rain the elevation of the lake de
andrew-mc [135]

Answer:

I guess that you want to model the elevation of Lake Sam Rayburn.

During the summer, it is 165 ft above the sea level (the sea level is our position 0ft).

If it does not rain, the elevation of the lake decreases by 0.5ft each week.

So if we assume that there is no rain, we can write the elevation fo the lake as a linear relationship with slope equal to -0.5ft and y-intercept equal to 165ft.

L(w) = 165ft - 0.5ft*w

Where w is the number of weeks without rain, if we have 0 weeks without rain, then the level of the lake remains constant at 165ft above sea level,

L(0) = 165ft - 0.

4 0
3 years ago
30 POINTS PLEASE help
aksik [14]

Answer:

m= -1/7

b=2

Step-by-step explanation:

5 0
3 years ago
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