Answer:
Step-by-step explanation:
This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:
and this will allow us to solve for the value of a:
and
and
6 = 4a + 5 and
1 = 4a so
and the equation is

Answer: 6 and 1/12 cups
Step-by-step explanation:
For this problem, we add 3 and 2/3 + 1 and 3/4 + 2/3. We can change these mixed numbers into improper fractions to make the math easier:
11/3 + 7/4 + 2/3
Next, we can add the 11/3 and 2/3 since they have the same denominator (bottom number). This gives us 13/3.
13/3 + 7/4
Now that we have two fractions, we just add them together. This leaves us with 6 and 1/2.
If you're having trouble with adding fractions with denominators that aren't the same, here are some videos (if you can't click the link, just copy and paste into the search bar):
<u>https://youtu.be/bcCLKACsYJ0</u> -- Khan Academy
<u>https://youtu.be/5juto2ze8Lg</u> -- Math Antics
The point-slope form:

We have:

Substitute:

Answer: C. y - 5 = 3(x + 1)
Answer:
1. 
2. ![x=\pm7i[tex]3.[tex]\pm 12x =a](https://tex.z-dn.net/?f=x%3D%5Cpm7i%5Btex%5D%3C%2Fp%3E%3Cp%3E3.%5Btex%5D%5Cpm%2012x%20%3Da)
4. 22
Step-by-step explanation:
1. 



2. 


![x=\pm7i[tex]3. Area of square = [tex]a^{2}](https://tex.z-dn.net/?f=x%3D%5Cpm7i%5Btex%5D%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3E3.%20Area%20of%20square%20%3D%20%5Btex%5Da%5E%7B2%7D)
Where a is the side
We are given an area o square = 
So, 


4. We are given that the solution of quadratic equation -9 and 9
So, equation becomes:


So, in the given equation 
z should be the number from which if we subtract 103 so we get 81
Substitute z = 22



Thus the value of z is 22
X= 24 simple calculations are there