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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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If 588 digits were used to number the pages of a book how many pages are in this book.
iVinArrow [24]

Answer: 232 pages

Step-by-step explanation:

Total digits = 588

1 digit page number:

1 to 9 = 1 × 9 = 9

Number of pages = 9/1 = 9

2 - digit page number :

10 - 99 = 2 × 90 = 180

Number of pages = 180/2 = 90

3 - digit page number :

588 - (9 + 180) = 588 - 189 = 399

Number of pages with 3 - digits = 399/3 = 133

Therefore, the total number of pages the book has is :

(9 + 90 + 133) = 232 pages

6 0
3 years ago
1. What is the most precise name for quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), and D(5,2)?
zaharov [31]
The first one is B because of the first attachment. The second one is A because of the second attachment. The third one is C because of the expression used to solve for sum of angles: 
(n-2)180 
(8-2)180
1080
Hope this helps!

7 0
3 years ago
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What is the value of 2x4 + 5x when x=6?
wlad13 [49]
This would be 2(6)^4 + 5*6

=  2592 + 30

= 2622 Answer
5 0
3 years ago
A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12​
Kisachek [45]

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

8 0
3 years ago
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(-4/9)(-5/8) multiply
Setler79 [48]
Multiply numerators:
-4*-5=20

Multiply denominators:
9*8=72

20/72= 10/36
10/36= 5/18

Final answer: 5/18
8 0
3 years ago
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