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WARRIOR [948]
3 years ago
7

If the equation of a parabola is y = 9(x - 2)2 + v, and its vertex is (2, -4), what is the value of v in the equation?

Mathematics
1 answer:
REY [17]3 years ago
5 0
If the vertex of the parabola is (h,k) the equation of the parabola will be
y = a(x - h)² + k

From the question (h,k) is (2,-4) then the equation of the parabola will be
y = a(x - 2)² + (-4)

Compare the equation
y = a(x - 2)² + (-4)
with
y = 9(x - 2)² + v
The value of a is 9 and the value of v is (-4).

The answer of the question 
⇒ the value of v is (-4)
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3 years ago
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I really need help with this, thank you!!!
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6. 60°

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7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).

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8. Same explanation as 7.

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3 years ago
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I managed to prove JMK and KNJ to be congruent. How do I find that JLK is isoceles though. Please help.
Anni [7]

Answer:

Step-by-step explanation:

A triangle is isosceles if it has two equal sides and two equal angles.

From the diagram, the two perpendicular bisectors divides each base angle into 2 equal parts.

Since the 2 lines of the the perpendicular bisectors cuts across the midpoint of the triangle, it divides both lines JL and LK equally.

This means that lines JL and LK are equal.

Triangle JLK has 3 sides, JL, LK and JK.

Since lines JL and LK are equal, then

Triangle JLK is isosceles since it has two equal sides and 2 equal angles

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3 years ago
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