Answer:
<em>1620in³</em>
Step-by-step explanation:
Volume of a rectangular prism = BH
B is the Base area
H is the height of the prism.
Given
B = 180in²
H = 9in
get the volume of the prism
Volume of the prism = 180 * 9
Volume of the prism = 1620in³
<em>Hence the volume of the rectangular prism is 1620in³</em>
Answer:
(x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb R
Step-by-step explanation:
4x-6y=-26
-2x+3y-13
4x-6y=-26
x=-13/2+3/2y
4(-13/2+3/2y) - 6y=-26
y in mathbb R
x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb
The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
-----------------------------------
m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
Answer:
y-intercept: (0, 4)
x-intercept: (20, 0)
Step-by-step explanation:
y-intercept: The y-intercept of a graph is the point where the graph crosses the y -axis. That means, the point in which x = 0.
To find it, we can substitute x by 0 and find y.
x + 5y = 20
0 + 5y = 20
5y = 20
y = 20/5
y = 4
y-intercept: (0, 4)
x-intercept: The x-intercept of a graph is the point where the graph crosses the x-axis. That means the point in which y = 0.
To find it, we can substitute y by 0 and find x.
x + 5y = 20
x + 5*0 = 20
x = 20
x-intercept: (20, 0)
Finally, the graph of the equation is:
