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zzz [600]
3 years ago
15

WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0
Answer:
y=1/6x-6

Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)

To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.

It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:

Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)

Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.

The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places

So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.

Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)

And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.

Awesome! We found the slope, which means so far, the equation of line T looks like this:

y=1/6x+b

All we need now is the y-intercept, which is “b” in the equation y=mx+b.

To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.

y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b

Aha! There we have it, -6 is the y-intercept of line T.

Now, we have completed our equation:

y=1/6x-6

I hope this helps! Please comment if you have any questions.
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Help me please, brainliested ;)
nekit [7.7K]

Answer:

3/2 the slope is the rate of change

Step-by-step explanation:

3 0
3 years ago
There were 326 students at the high school dance. There were 24 more girls than boys. How many girls and boys attended?​
abruzzese [7]

Answer:

187 girls 139 boys

Step-by-step explanation:

first you divide 326 by 2 to get 163, and then you add 24 to it to find how many girls and then you subtract 24 from it to find how many boys

4 0
3 years ago
Read 2 more answers
Which values are the solutions of the compound inequality? Select all that apply.
evablogger [386]

Answer:

b, c, e

Step-by-step explanation:

First, just simplify the inequality.

-18 < 5x - 8 < 17

-10 < 5x      < 25

-2  <  x        < 5

Answers that fit this inequality:

-1, 0, 3

3 0
3 years ago
In figuring is net income Mr. Hall kids listed his salary income of $15,000, $258 from dividends, and $2562 from the sale of pro
Elan Coil [88]
To find net income, find the money mr. hall gained, and subtract how much he loss

Gains:
$15,000 $1346
$258 $1598
$2562 $48

total: $17,280


Losses:
$1346
$1598
$48

total: $2992



17,280 - 2992=
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5 0
3 years ago
A number p plus 7 is greater than 24
hichkok12 [17]

Answer:

p is greater than or equal to 18

Step-by-step explanation:

18+7=25 so therefore p can be any number greater than 18 since it will be over 24

4 0
3 years ago
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