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
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Answer:
a) The independent variable is r, the radius. You can use any allowable number for r. The dependent variable is V, the volume. Once you choose a value for r, the value of V will depend on that value of r.
b) The domain is all real numbers greater than 0. A radius cannot be zero or a negative number.
c) The output of V(8) is the function V(r) evaluated at r = 8, so it is the volume of a sphere of radius 8 units.
Answer:
x = - 4
Step-by-step explanation:
First do distributive property
5x-15=10x+5
then add 15
5x=10x+20
-10x
-5x=20
divide 5
x=-4
The expression that is equivalent to the given expression is -4x^-5
<h3>How to determine which expression is equivalent to the given expression?</h3>
The expression is given as:
Rewrite properly as
-4x^-5x^0
Express as products
-4x^-5 * x^0
The value of x^0 is 1
So, we have:
-4x^-5 * 1
Evaluate the product
-4x^-5
Hence, the expression that is equivalent to the given expression is -4x^-5
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Answer:
14. Quadrant IV
13. Quadrant II
12. Quadrant III
11. Quadrant I
15. -17
16. -1
17. 7
Step-by-step explanation: