Write an equation for the line parallel to the given line that contains C. C(-3,8); y = 4/5x+5 (Write in slope intercept form)

Mathematics

2 answers:

Art [367]3 years ago

5 0

Answer:

First determine the slope of the given line. Based on this slope, determine the slope of the line to be found. Remember that parallel lines have the same slope and perpendicular lines have slopes whose product is -1. Once the slope is found, use it along with the given point to write the point-slope equation of the new line. Solve for y to write the new equation in the form y=mx+b

Step-by-step explanation:

galina1969 [7]3 years ago

3 0

In the equation you want to find, the constant on the right (the y-intercept) will be the one that lets the line go through the given point. Putting that point in the equation, we can solve for the intercept:

... 8 = (4/5)(-3) + b

Adding 2.4 to each side gives

... 10.4 = b

Your equation is ...

... y = (4/5)x + 10.4

_____

The constant 10.4 could be written 52/5 if you like.

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kondor19780726 [428]

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6 0

3 years ago

To determine whether the inverse of a function is a function you can perform the horizontal line test.

iris [78.8K]

Answer:

$\boxed{\text{TRUE}}$

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

7 0

3 years ago

If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).

diamong [38]

<h3>Answer: 25</h3>

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Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

g(x) = 2x^2 + 6x + 5

g(-5) = 2(-5)^2 + 6(-5) + 5

g(-5) = 25

So the answer is confirmed.