Answer:
<em>The slope of the line perpendicular to the graphed line is 2.</em>
Step-by-step explanation:
<u>The Slope of a Line</u>
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The graphed line passes through two visible points (0,4) and (8,0). Thus, its slope is:
Simplifying:
Two lines of slopes m1 and m2 are perpendicular is:
Suposse the given line has slope . To find m2, we solve the above equation:
Substituting:
Operating
The slope of the line perpendicular to the graphed line is 2.
Answer:
4.75 hours.
Step-by-step explanation:
We have been given that Kathleen worked for 4 hours and 45 minutes.
We will convert 45 minutes to hours by dividing 45 by 60 as one hour has 60 minutes.
Therefore, she should write 4.75 hours on her time card.
X>=-4 so x is greater than or equal to -4
Answer:
-7
Step-by-step explanation:
it is -7 you have to get X by yourself
3 = 10 + x
subtract 10 from each side
x = -7
Answer: -4 (m + 6) = -8
We can use the distributive property for the first half of the equation.
-4 × m = -4m
-4 × 6 = -24
-4m - 24 = -8
Now we add 24 on bothe side sof the equation to get -4m by itself.
-4m - 24 + 24 = -8 + 24
Now we get -4m = 16
Divide -4 on both sides to get m by itself
-4m/-4 = 16/-4
Simplify and we get m = -4