The equation of the perpendicular line is:
y = (-1/13)*x - 87/13
<h3>
How to get the line equation?</h3>
For a general linear equation:
y = a*x + b
Another linear equation that is perpendicular to the above one is given by:
y = (-1/a)*x + c
Where a, b, and c are real numbers.
In this case, we want to find a perpendicular line to:
y = 13*x - 2
Then it will be something like:
y = (-1/13)*x + c
To find the value of c, we use the fact that it must pass through the point (4, -7), then:
-7 = (-1/13)*4 + c
Now we can solve that for c:
-7 + 4/13 = c
-87/13
Then the linear equation is:
y = (-1/13)*x - 87/13
If you want to learn more about linear equations:
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Answer:
49
Step-by-step explanation:
There is no answer choices so I can't really select an answer so I just provided my own. If you do provide the answer choices and my answer is wrong tell me and I will gladly change it. Anyways my explanation is since there are 7 days in a week and she collected 7 leaves for a week you would find this answer out by multiplying 7 by 7. 7x7=49
Answer: 22
<u>Step-by-step explanation:</u>
f(x) = 2x² - 3x + 8
f(-2) = 2(-2)² - 3(-2) + 8
= 2(4) + 6 + 8
= 8 + 6 + 8
= 22
For this case we have the following expression:
-2x ^ 2 (x + 5) + x (2x ^ 2-10x) + x
Rewriting we have:
-2x ^ 3 - 10x ^ 2 + 2x ^ 3 - 10x ^ 2 + x
Grouping terms with the same exponent:
x ^ 3 (-2 + 2) + x ^ 2 (-10 - 10) + x
-20x ^ 2 + x
Rewriting:
x (-20x + 1)
Answer:
The simple form of the expression is:
x (-20x + 1)
