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3 years ago

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Find the equation of a line parallel to the line x=-10 and contains the point (-4,4)

1 answer:

earnstyle [38]3 years ago

6 0

Hello!

The line x = -10, is an example of an undefined line. It does not pass the vertical line test and each element of the domain is not paired with a unique (one and only one) element of the range. Remember that no two ordered pairs in a function have the same first element.

To find the line parallel to the line given line, we need to use the x-value in the given ordered pair, which will create the parallel line.

Therefore, the line parallel to the line x = -10 is x = -4.

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Given the function g(x)=x^2+2x-5g(x)=x

dimaraw [331]

We have been given a function $g(x)=x^2+2x-5$ . We are asked to find average rate of change of the function over the interval $-6\leq x\leq 1$ .

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

For our given function $b=1$ and $a=-6$ .

$\text{Average rate of change}=\frac{g(1)-g(-6)}{1-(-6)}$

$g(1)=1^2+2(1)-5$

$g(1)=1+2-5$

$g(1)=-2$

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

$g(-6)=36-12-5$

$g(-6)=19$

$\text{Average rate of change}=\frac{-2-19}{1+6}$

$\text{Average rate of change}=\frac{-21}{7}$

$\text{Average rate of change}=-3$

Therefore, the average rate of change of the function is $-3$ over the interval $-6\leq x\leq 1$ .

4 0

3 years ago

How many lateral faces does a triangular pyramid have

liq [111]

3 if you count the sides

6 0

3 years ago

Read 2 more answers

Which is bigger 1/8 or 8%?

nadezda [96]

Here, 8% = 0.08
& 1/8 = 0.125
So, we know, 0.125 > 0.08

In short, 1/8 is greater than 8%

Hope this helps!

7 0

4 years ago

Math question please show work for brainliest :)

avanturin [10]

Hey there!!

I x I + 5 ≤ 1

Subtract 5 on both sides

I x I ≤ 1 - 4

I x I ≤ - 3

Any mod value can not be in negatives.

Hence, the answer for the above question is no solutions , option ( c )

6 0

3 years ago

What is the slope of the line that passes through the points (5,–10) and

JulijaS [17]

Answer:

<h2>Slope = 0</h2>

Step-by-step explanation:

The slope of a line between two points can be found by using the formula

$m = \frac{y2 - y1}{x2 - x1}$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5,–10) and (-3,-10)

Their slope is

$m = \frac{ - 10 + 10}{ - 3 - 5} = \frac{0}{ - 8} = 0$

We have the final answer as

Slope = 0

Hope this helps you

4 0

3 years ago