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3 years ago

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how can you find the vertex of a parabola if you know it's focus and directrix? in my equation, the focus is (6,4) and the direc

trix is y=-2

1 answer:

weeeeeb [17]3 years ago

6 0

Answer:

you can find through the formula

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Identify the vertex, focus , axis of symmetry and directrix(??+1)2 =8(x-3)

melisa1 [442]

Answer:

70

Step-by-step explanation:

5 0

3 years ago

PLZ HELP!!! I Will give brainliest. What is the value of x in sin(3x)=cos(6x) if x is in the interval of 0≤x≤π/2

sertanlavr [38]

Answer:

sin(2x)=cos(π2−2x)

So:

cos(π2−2x)=cos(3x)

Now we know that cos(x)=cos(±x) because cosine is an even function. So we see that

(π2−2x)=±3x

i)

π2=5x

x=π10

ii)

π2=−x

x=−π2

Similarly, sin(2x)=sin(2x−2π)=cos(π2−2x−2π)

So we see that

(π2−2x−2π)=±3x

iii)

π2−2π=5x

x=−310π

iv)

π2−2π=−x

x=2π−π2=32π

Finally, we note that the solutions must repeat every 2π because the original functions each repeat every 2π. (The sine function has period π so it has completed exactly two periods over an interval of length 2π. The cosine has period 23π so it has completed exactly three periods over an interval of length 2π. Hence, both functions repeat every 2π2π2π so every solution will repeat every 2π.)

So we get ∀n∈N

i) x=π10+2πn

ii) x=−π2+2πn

iii) x=−310π+2πn

(Note that solution (iv) is redundant since 32π+2πn=−π2+2π(n+1).)

So we conclude that there are really three solutions and then the periodic extensions of those three solutions.

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Related Questions (More Answers Below)

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3 years ago

Bethan and siobhan are cousins.......

olga55 [171]

Bethan arrives home at 14:45

I’m not sure about the last question but i think it’s 8km

Hope this helps!

5 0

3 years ago

Given AB is a diameter, find the measure of

Sonbull [250]

Answer:

Angle BCA = 90

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle

Where the angle opposite of the hypotenuse ( or diameter ) is the right angle

Angle BCA is the angle opposite of the diameter

Hence BCA = 90

7 0

3 years ago

One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42. 50. The nex

astra-53 [7]

The cost of one container of popcorn and granola is $6.5 and $2.5.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

<h3>To find </h3>

The equation and solution of the equation.

<h3>How to get it?</h3>

Let p represent the cost of one container of popcorn.

Let g represent the cost of one granola bar.

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

5p + 4g = 42.50 .....1

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

3p + 6g = 34.50 .....2

From Equations 1 and 2, we have

p = 6.5 and g = 2.5

Thus, the cost of one container of popcorn and granola is $6.5 and $2.5.

More about the linear system link is given below.

brainly.com/question/20379472

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3 years ago