Answer:
Step-by-step explanation:
Add 17r to both sides:
To solve for
You first need to find a common denominator.
To do so, you need to make both denominators 10 by multiplying the top and bottom of
by 5
=
Reduce by dividing both the top and bottom by 2
Your answer is
Answer:
3(6)(4) = 72 cm
Step-by-step explanation:
The volume of a rectangular prism = Length * Width * Height
Substitute your values into the equation and solve for V
V = 3 * 6 * 4
V = 72
Since we know that m and n are lines, we can put these points into equations (slope-intercept form would be easiest), and then set the equations equal to each other to see what their x coordinate is when they intersect.
For (6,1) and (2,-3):
slope = (y2 - y1) / (x2 - x1) = (-3 - 1) / (2 - 6) = -4 / -4 = 1
plugging this into slope-intercept form:
y = mx + b
1 = 1 x 6 + b
1 = 6 + b
b = -5
So our equation in slope intercept form is:
y = x -5
Taking the same steps for line n, we find that it's slope-intercept form is:
y = -3x + 9
If we set these two equations equal to each other, we can find the x-coordinate of the point of intersection:
-3x + 9 = x - 5
14 = 4x
x = 3.5
Plugging 3.5 back into to one of our original equations will give us the y coordinate of intersection:
y = x - 5
y = 3.5 - 5 = -1.5
Therefore, the point of intersection is (3.5, -1.5)
Is is 12 × 15 which is 150 inches.