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:
A right angle.
Step-by-step explanation:
65+25 =90
Brayden has 38 bags.
After giving away 15 bags of marbles, Brayden is left with 23 bags.
To find out how many bags he has we do 342 divided by 9 which is 38.
To find out how many marbles are in 15 bags we do 15 x 9 which is 135.
We then do 342 - 135 to find out how many marbles he has left which is 207 and divide 207 by 9 to convert that into bags, which is 23.
Answer:C and D
Step-by-step explanation: Hope this helps
Answer:
a)There are 14 teachers in Ryan's sample, and 362 teachers in the population.
Step-by-step explanation:
<u> Population:-</u>
<em>The totality of observations with which we are concerned, whether this number be finite or infinite is called population.</em>
<em>Given data population is 376 teachers at a university were female'</em>
<u><em>Sample:-</em></u>
A sample is a subset of a Population
sample of given data = 14teachers
The percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers.
<em />
<em> = 3.72%</em>
