In order to determine the vertex of this, you can complete the square. To do that, first set the equation equal to 0, then move the -35 over to the other side by adding. That gives us

. Now we can complete the square. Do this by taking half of the linear term, squaring it, and adding it in to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. So we add 1 to both sides, creating something that looks like this:

. We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process.

. Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent. It is (1, -36). You find the x-intercepts when y = 0. That means you need to set your original equation equal to zero and factor it. The easiest, surest way to do this is to use the quadratic formula. Doing that gives us x values of 7 and -5. And you're done!
First put in ascending order.
0, 2, 2, 4, 5, 6, 7
The median is the middle number: 4
The mode is the number that repeats the most often: 2
The mean is the average. Add the numbers and divide by 7.
26/7 = 3.71
First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides
x^2 + 20x + (100 - 7) = 7 - 7
x^2 + 20x + 93 = 0
Now you must find two numbers who's sum equals 20 and their multiplication equal 93
Are there any? NO!
This means that you have to use the formula:

In this case:
a = 1
b = 20
c = 93



^^^We must simplify √28
√28 = 2√7
so...

simplify further:

-10 + √7
or
-10 - √7
***plus/minus = ±
Hope this helped!
~Just a girl in love with Shawn Mendes
Step-by-step explanation:
- V= L×W×H
- you only need to know one side to figure out the
- volume of a cube
- volume is in 3Dimensions
- Multiple the sides in any order
- which side you call length, width, or height doesn't matter
that's how you find the answer.
does that help?
The tablecloth has 42" diameter.
Add 8" at each end of the diameter to get 42" + 8" + 8" = 58".
The tablecloth has 58" diameter.
The radius is half the diameter.
Radius = diameter/2 = 58"/2 = 29".
Answer: The radius of the tablecloth is 29".