The volume of the prism is 40 because 5 x 8 =40
Answer:
32
Step-by-step explanation:
|-32|
Absolute values means take the positive value of
|-32| = 32
Answer:
73, 74, 75
Step-by-step explanation:
So the sum of three consecutive integers is 222.
Let's let the first integer be n.
Then the second integer <em>must</em> be (n+1).
And the third integer must be (n+2).
They total 222, thus:
Combine like terms:
Subtract 3 from both sides:
Divide both sides by 3:
So, the first integer is 73.
So our sequence is 73, 74, and 75.
And we're done!
Hi there!
I'm guessing you want to know what the equation of the slope-intercept line is.
The general equation for the slope-intercept line looks like this:
y = mx + b
Where "m" is the slope and "b" is the y-intercept.
Since we know what the slope is and we have the coordinates of a point, you can replace the slope and the value of the coordinates "x" & "y" in the equation and solve for "b" in order to find the whole equation :
y = mx + b
-1 = -1/2(10) + b
subtract "b" from each side of the equation
-1 - b = -1/2(10)
Add 1 to each side of the equation
-b = -1/2(10) + 1
-b = -5 + 1
-b = -4
Divide each side of the equation by -1
b = 4
Since you now know the value of "b" you can go ahead and write the slope-intercept equation with the slope in it and the y-intercept value also (b) :
y = -1/2 + 4
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
x = 2, HJ = JK = 11
Step-by-step explanation:
Given that H is the midpoint of JK , then
HJ = JK = 6x - 1 and
HJ + JK = JK , that is
6x - 1 + 6x - 1 = 3x + 16 ← simplify left side
12x - 2 = 3x + 16 ( subtract 3x from both sides )
9x - 2 = 16 ( add 2 to both sides )
9x = 18 ( divide both sides by 9 )
x = 2
Then
HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11
