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3 years ago

The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

Answer:

Its C

Step-by-step explanation:

I took the test its right :D

loris [4]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 6 = $\frac{1}{3}$ (x - 9) ← distribute the parenthesis

y + 6 = $\frac{1}{3}$ x - 3 ← subtract 6 from both sides

y = $\frac{1}{3}$ x - 9 ← in slope- intercept form

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A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites

mash [69]

The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

Total number websites=5

Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

Learn more about probability here:brainly.com/question/25688842

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saveliy_v [14]

ANSWER:
d. x = 15, y= 15√3

EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have

We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15

We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.

x = 15
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Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications

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