Answer:
r = 13, 3
Step-by-step explanation:
| r - 8| = 5
All solutions for r by breaking the absolute value into the positive and negative components
r = 13, 3
Answer:
12 inches
Step-by-step explanation:
Given


Required
Determine the height of the canvas
The question is illustrated using the attached image.
Using the attachment as a point of reference, the height is calculated from

This gives:

Make h the subject




Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)
First, let's find the slope of the line from the points given.
m = (4 - - 2) / (3 - 1)
m = 6 / 2
m = 3
Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.
Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.
Equation 1: Correct
y = -1/3x - 5
Equation 2: Incorrect
y = 3x - 3
Equation 3: Incorrect
y - 2 = 3(x + 1)
y - 2 = 3x + 1
y = 3x + 2
Equation 4: Correct
x + 3y = 9
3y = -x + 9
y = -1/3x + 3
Equation 5: Incorrect
3x + y = -5
y = -3x - 5
Hope this helps!! :)
Answer:
The median of the data is 5 :)
Step-by-step explanation: