Answer:
x=-3
Step-by-step explanation:
Place like terms on the same side.
Keep in mind when a term is moved from its original position, it changes sign.
x+x=-3-3
2x=-6
x=-3
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
Answer: 1. x = (y - 2)² + 8

3. y = 2(x +9)² + 7
<u>Step-by-step explanation:</u>
Notes: Vertex form is: y =a(x - h)² + k or x =a(y - k)² + h
- (h, k) is the vertex
- point of vertex is midpoint of focus and directrix:


- p is the distance from the vertex to the focus
1)

Now let's find the a-value:

Now, plug in a = 1 and (h, k) = (-8, 2) into the equation x =a(y - k)² + h
x = (y - 2)² + 8
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2)

Now let's find the a-value:

Now, plug in a = -1/2 and (h, k) = (1, 10) into the equation x =a(y - k)² + h

***************************************************************************************
3)

Now let's find the a-value:

Now, plug in a = 2 and (h, k) = (-9, 7) into the equation y =a(x - h)² + k
y = 2(x +9)² + 7
Answer:
i think that the correct answer would be the second one
Step-by-step explanation:
i am so so sorry if the answer is wrong
hope this helps
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