Answer:
slope= -5
Step-by-step explanation:
Correct Me, If i am Wrong.
Answer:20,736 crates are needed.
Step-by-step explanation:
Answer:
A) 5 in. long and 5 in. wide
Step-by-step explanation:
Given:
Volume of a rectangular prism = 75 cubic inches
Height of prism = 3 inches
Volume of a rectangular prism is given by =
where representslength of base, represents width of base and represents height of the prism.
We will check the choices given by finding the volume for the given dimensions of length and width while height remains the same and see if it matches with the given volume of the prism.
A)
Volume of prism =
B)
Volume of prism =
C)
Volume of prism =
D)
Volume of prism =
So, we see that the dimensions given in option A would give the volume of prism = 75 cubic inches.
9514 1404 393
Answer:
a) 3
b) 1
c) y = 3x +1
Step-by-step explanation:
<u>Given</u>:
A(1, 4), B(2, 7)
m = (y2 -y1)/(x2 -x1)
<u>Find</u>:
a) the slope of the line through these points
b) the y-intercept of the line through these points
c) the equation of the line through these points
<u>Solution</u>:
a) Using the given formula, the slope is ...
m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line
__
b) The y-intercept can be found from* ...
b = y1 -m·x1
b = 4 -3·1 = 1 . . . the y-intercept
__
c) The equation in slope-intercept form is ...
y = mx +b
y = 3x +1
_____
* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:
y -y1 = m(x -x1)
y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1
b = y1 -m·x1 . . . . . . . . solve for b