ANSWER
The vertex of the graph of

is

EXPLANATION
The vertex form of a parabola is given by

where

is the vertex of the parabola.
The function given to us is

This is already in the vertex form.
When we compare this to the general vertex form, we have,


and

Therefore the vertex of the parabola is

Hence the correct answer is option A.
Answer: -10m + 30
Step-by-step explanation:
<u>Given expression</u>
(m - 3) (-10)
<u>Expand parentheses and apply the distributive property</u>
=m · (-10) - 3 · (-10)
<u>Simplify by multiplication</u>
=
Hope this helps!! :)
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Answer:
x=1
Step-by-step explanation:
multiply both sides by 28 (it is the Least Common Multiple) which would bring your equation to be
7x-2= 4x+1
3x=3
x=1
Answer:
4. Z ≈ 46.1°
5. T ≈ 45.2°
6. F ≈ 15.0°
Step-by-step explanation:
4.
We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:

Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:


Solve for Z:
Z ≈ 46.1°
5.
Use the Law of Sines as above.


Solve for T:
T ≈ 45.2°
6.
Again, use the Law of Sines as before.


Solve for F:
F ≈ 15.0°
Answer:
hard to go without a graph see explanation
Step-by-step explanation:
from each point, count har far away it is from the dotted mirror line and then count that many in the opposite direction.
for example, the spikey point at the bottom is 3 units below the mirror line so count 3 units above the mirror line and that is where other point will be