Answer:
330
Step-by-step explanation:
The prism is a triangular prism
9 * (12 + 5 + 13) + (2 * 30)= 330
30 being the base area
Answer:

Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:

The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:

Add 1/2 on both sides:

The last step is to switch x and y:



Answer:
y=40
Step-by-step explanation:
The formula for Direct Variation is y=kx or k=y/x. In this case I would use k=y/x. If you're y is 8 and x is 3, this means that K=8/3. Using this, we know that X=15. We have to find a Y value so that the fraction with an x of 15 simplified is 8/3. To do this you would write 8/3 and y/15. Now cross multiply to get 3y=120. Divide by 3 to get y=40. View my attachment for the work!
Answer:
19 and 2
Step-by-step explanation:
Let x represent the first number and y represents second number
x + y = 19
x - y = 17 add two equations up
2x = 36 divide both sides by 2
x = 19 and since the difference is 17 the other number is 2
Answer:
20° and 90°
Step-by-step explanation:
Let 2x = measure of 1st angle
then 9x = measure of 2nd angle
The sum of the measures of the angles of a quad is 360
200 + 50 + 2x + 9x = 360
250 + 11x = 360
11x = 110
x = 10
2x = 20°
9x = 90°