That’s answer is A)-3,4) because you reflect as follows
Notice they are all right triangles. You will need Pythagorean theorem, which is a² + b² = c²
If you write down all the "equations" you can find, it is the following:
y² + 4² = x²
5² + y² = z²
x² + z² = 9²
Substitute them into one equation:
y² = x² - 4²
z² = 5² + (x² - 4²) <em>Notice that the y² is replaced with what you found </em><em>above</em>
x² + (5² + x² - 4²) = 9² <em>Notice that the z² is replaced with what's </em><em>above</em>
Now that it is just one line with one variable, you should be able to find value of x easily.
The answer is 6 if my calculations are correct.
Total muffins and doughnuts = 18
Assumed all doughnuts = 18 x $0.4 = $7.20
But she paid $9.15.
$9.15 - $7.20 = $1.95
$1.95 must have been used to pay for the muffin.
Difference in price between muffin and doughnuts:
$0.55 - $0.40 = $0.15
Number of muffins bought = $1.95 ÷ 0.15 = 13
She bough 13 muffins.
Number of doughnut bought = 18 - 13 = 5
She bought 5 doughnuts
Answer: She bought 5 doughnuts and 13 muffins.
Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:
![h(t)=-16t^2+64t+4](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B64t%2B4)
The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
![[0, \infty)](https://tex.z-dn.net/?f=%5B0%2C%20%5Cinfty%29)
And as an inequality:
![t\geq 0](https://tex.z-dn.net/?f=t%5Cgeq%200)
I know that D is one of the answers. I'm not sure about the other ones.