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Andrej [43]
2 years ago
7

What equation is used to find the vertex form of a parabola with the vertex (h, k)?

Mathematics
2 answers:
makkiz [27]2 years ago
8 0

Answer:

y=a(x-h)^{2}+h

Step-by-step explanation:

equation for vertex form of a parabola is,

y=a(x-h)^{2}+h

Georgia [21]2 years ago
6 0

Answer:

y=a+h

Step-by-step explanation:

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Show Work Please Thank You
Misha Larkins [42]

Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}

Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Convert u-term back to 4x:

\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

8 0
1 year ago
Solve for x.<br> -5/4x = -30<br> Simplify your answer as much as possible.
zlopas [31]

Answer:

The answer is x=24.

Step-by-step explanation:

This is a one step equation, so it is simple, as shown.

In order to isolate the variable, you need to multiply each side of the equation by the fraction's reciprocal. In this case, it is -4/5.

Thus, x= -30 x -4/5

All things said, the answer is x=24.

I hope this helped!!

~ Penny

8 0
3 years ago
Read 2 more answers
What is the answer to 7x + 2 + 2x
kotykmax [81]

Answer:

Your answer is 9x+2

Step-by-step explanation:

All you have to do is add like terms, for example, all of them that have X you can add them up,

6 0
3 years ago
A rectangular field 50 metres wide and x metres long required 260 metres of fencing​
KatRina [158]

Answer:

x=80

Step-by-step explanation:

im going to assume this is perimeter.

50+50=100

260-100=160

160÷2=80

3 0
3 years ago
Read 2 more answers
When comparing the shapes of the two sets of data, what conclusion can someone draw?
ch4aika [34]

Answer:D)The girls a re generally taller than the boys

Step-by-step explanation:

4 0
3 years ago
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