Step-by-step explanation:
step 1. perpendicular lines have negative reciprocal slopes
step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3
step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)
step 4. y - 2 = -3x + 9
step 5. y = -3x + 11.
Answer:
It is a linear function because there is a constant rate of change in both the input and output values
Step-by-step explanation:
To determine if the function is linear, calculate the differences between the y values.
If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.
<u>difference between y values (output)</u>
7 - 4 = 3
3 - 1 = 3
1 - -2 = 3
⇒ the function is linear
<u>difference between x values (input)</u>
-2 - -5 = 3
-5 - -8 = 3
-8 - -11 = 3
⇒ the function is linear as there is a constant rate of change in both the input and output values
Answer:
20
Step-by-step explanation:
The two given and marked angles add up to 90.
A = x
B = 3x + 10
A + B = 90 Substitute for A and B. A and B are just letters I gave things.
x + 3x + 10 = 90 Combine the left
4x + 10 = 90 Subtract 10 from both sides.
4x +10-10 = 90-10 Combine
4x = 80 Divide by 4
4x/4=80/4
x = 20
The theoretical answer for the following question provided above would be found if you study