9514 1404 393
Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
Answer:
5.5%
Step-by-step explanation:
Given data
Simple interest = $137.50
Principal= $500
time = 5 years
We want to find the rate R
Simple interest= PRT/100
137.50 = 500*R*5/100
137.50=2500R/100
cross multiply
137.5*100= 2500R
13750= 2500R
divide both sides by 2500
R= 13750/2500
R=5.5%
Hence the rate is 5.5%
Answer: The variance of their weights = 9,752,155,009 kg.
Step-by-step explanation:
- The variance is the square of the standard deviation . it measures the spread between data values in a data set.
So if standard deviation of 10 subjects = 98753 kg
Then, variance = 
Hence, the variance of their weights = 9,752,155,009 kg.
Answer:
x= 3.25
Step-by-step explanation:
4x-5=8
1. Take the -5 to the other side as a plus so now your question is
4x=13
2. to get the x by its self divide both sides by 4.
13 divided by 4 is 3.25
therefore x=3.25
Formula
l×w×h=volume
12×5×9=v
540=v
