Answer:
The equation of the line would be y = 5x - 28
Step-by-step explanation:
First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.
y - y1 = m(x - x1)
y - 2 = 5(x - 6)
Then we must solve for y.
y - 2 = 5(x - 6)
y - 2 = 5x - 30
y = 5x - 28
6r+7=13+7r
Move 7r to the other side. Sign changes from +7r to -7r.
6r-7r+7=13+7r-7r
6r-7r+7=13
-r+7=13
Move +r to the other side. Sign changes from +7 to -7.
-r+7-7=13-7
-r=6
Multiply by -1 to get positive and for 6
-r(-1)=6(-1)
r=-6
Answer: r=-6
Height:
30
15
All other possible sets are:
3, 10
5, 6
Answer:
Step-by-step explanation:
With this word problem, we can model it into an equation which we can interpret to find values.
If we need to read 5 novels per month and n represents the amount of novels read in m months, we know that n will be the dependent variable (y) as it's a direct function of the number of months. This makes m the independent variable (x).
Since there are 5 novels a month, the equation will be 5 times the number of months equals the number of novels per month.
aka -
We can now substitute inside the equation with 11 months as m, and find the value of n.
Hope this helped!