Point? I'm pretty sure or the origin point
The percentage of change from 45 to 56 is 24.4%
To find this, we first need to find the difference between our two values. This difference would be 11.
The next step would be to divide 11 by 45. We then move the decimal point over two spots to the right which gives us our answer.
Answer:
The numbers that represent this situation are 7 and 9.
Step-by-step explanation:
For this problem, we have to find two numbers that sum up to 16 and have a difference of 2.
First, let's list out the numbers the sum up to 16.
1 + 15
2 + 14
3 + 13
4 + 12
5 + 11
6 + 10
7 + 9
From this list, we can see that 7 and 9 are our numbers. 7 and 9 sum up to 16. When you subtract 7 from 9, then you will get a difference of 2.
<u>So, two numbers that have a sum of 16 and a difference of 2 are 7 and 9. </u>
Since x can't be zero (it sits at the denominator of the left hand side), let's split cases:
If x is positive
It this case, we can multiply both sides by x without changing the inequality sign:

But since we're assuming that x is positive, we can only accept the numbers between 0 and 1.
If x is negative
It this case, in order to multiply both sides by x we have to change the inequality sign:

But since we're assuming that x is negative, we can only accept the numbers which are smaller than -1.
So, putting all the pieces together, we have that the solution is given by the following interval:

Answer:
y = 4x - 3
Step-by-step explanation:
When we re-write the given equation into its slope-intercept form, it will like this:
y = (-1/4)x - 6
This line has a slope equal to -1/4 so the slope of the required line has a slope of +4 (perpendicular to the given line). Use this new slope and the given point P0(-1, -7) into this equation:
y - y0 = m(x - x0) ---> y + 7 = 4(x + 1)
Rearranging the terms into its slope-intercept form, we get
y = 4x - 3