Answer:
translation followed by a rotation
Step-by-step explanation:
The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
Answer:
430.5
Step-by-step explanation:
1. We assume, that the number 525 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 525 is 100%, so we can write it down as 525=100%.
4. We know, that x is 82% of the output value, so we can write it down as x=82%.
5. Now we have two simple equations:
1) 525=100%
2) x=82%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
525/x=100%/82%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 82% of 525
525/x=100/82
(525/x)*x=(100/82)*x - we multiply both sides of the equation by x
525=1.219512195122*x - we divide both sides of the equation by (1.219512195122) to get x
525/1.219512195122=x
430.5=x
x=430.5
now we have:
82% of 525=430.5
<h2>
Greetings!</h2>
Answer:
They buy 
of cheese.
Step-by-step explanation:
When adding two fractions with the same denominator, you simply add the two numerators (numbers on top):
So they buy of cheese.
<h2>Hope this helps!</h2>
Answer:
The answer is "16, 43, and 96".
Step-by-step explanation:
Given:
Using Z table:
For point a:
so, The Sample size (n) = 16
For point b:
For point c:
