You've been working with rectangular prisms all night, and the same formula gives the volume of every one of them. Unfortunately, you used way more time asking other people for answers than it would take you to solve them on your own.
The formula is:
Volume = (length) times (width) times (height) .
With that formula, you can directly solve problems #1, #2, #3,
#4, and #8. It's also the only math you really need to solve #9 ...
but you also need to use your brain cells for #9.
For #6, start with the same formula:
Volume = (length) x (width) x (height)
Divide each side by
(width) x (height), and
then it says: Length = (volume) / (width x height) .
#6 gives you the volume, width and height.
You can just write them into this equation,
and bada-bing, you'll have the missing length.
Answer:
m<-8 or (-∞,-8) hope this helps
The graph has a y-intercept of 2. Hope this helps :)
Answer:
slope-intercept form: y = 3x - 14
slope: 3
y-intercept: -14
Step-by-step explanation:
To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.
"x" and "y" mean points that are on the line.
"m" is the slope.
"b" is the y-intercept.
Rearrange the equation to isolate "y"
3x - y = 14
3x - 3x - y = 14 - 3x Subtract 3x from both sides
-y = 14 - 3x Multiply both sides by -1.
y = -14 + 3x Put "3x" in front of "-14" because it has the 'x'
y = 3x - 14 Looks like y = mx + b
State the "m" and "b".
m = 3 (Slope of the line)
b = -14 (y-intercept of the line)
Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.
Answer:
Step-by-step explanation:
The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1
So for this problem we need to find a number z such that
(3 - 2i) ( z ) = 1
If we take z = 
We have that
would be the multiplicative inverse of 3 - 2i
But remember that 2i = √-2 so we can rationalize the denominator of this complex number
Thus, the multiplicative inverse would be
The problem asks us to verify this by multiplying both numbers to see that the answer is 1:
Let's multiplicate this number by 3 - 2i to confirm:
Thus, the number we found is indeed the multiplicative inverse of 3 - 2i
