Answer: (-1, 4) is the vertex of the parabola.
To find the vertex when you are given the equation in vertex form, all you have to do is look at the letters k and h. They will tell you what the vertex is.
It is always (h, k)
There is only one trick in this problem. You have to change "(x + 1)" to "(x - (-1))" since the format of the equation requires "(x - h)".
This makes the h value -1 instead of 1.
Answer:
yes
Step-by-step explanation:
6 is half of 12. 15 is half of 30. The ratios are equal, so the fractions are proportional.
Answer: yes
Also, you can reduce both fractions.
Divide the numerator and denominator of 6/12 by 6 to get 1/2.
Divide the numerator and denominator of 15/30 by 15 to get 1/2.
Since both fractions reduce to 1/2, 6/12 and 15/30 are equivalent fractions and are proportional.
9514 1404 393
Answer:
- sin(Z) = 9/15 = 3/5
- cos(Z) = 12/15 = 4/5
Step-by-step explanation:
The hypotenuse is the longest side, XZ (15). It is opposite the right angle (Y).
The segments adjacent to Z are the ones with Z in their name: ZX and ZY. When we talk about the "side" or "leg" adjacent to Z, we are usually not interested in the hypotenuse ZX. We refer to that as the "hypotenuse." So, the side or leg "adjacent" to Z is ZY, of length 12.
The segment opposite to Z is the one that does not have Z in its name: XY.
sin(Z) = Opposite/Hypotenuse = XY/XZ = 9/15 = 3/5
cos(Z) = Adjacent/Hypotenuse = YZ/XZ = 12/15 = 4/5
It would be > cause it is a smaller fraction which makes the decimal a bigger number
Hope it helps
