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disa [49]
3 years ago
10

How can the equation of a parabola be derived when given the focus and the directrix

Mathematics
1 answer:
erica [24]3 years ago
7 0
If the focus<span> of a </span>parabola<span> is and the </span>directrix<span> is , find the</span>equation<span> of the </span>parabola. Let ( x 0 , y 0 ) be any point on theparabola. Find the distance between ( x 0 , y 0 ) and the focus. Then find the distance between ( x 0 , y 0 ) and directrix<span>.</span>
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Find the next 2 terms in the Geometric sequence 20,30,45 ...
DochEvi [55]

Answers:

The next two terms are 67.5 and 101.25 in that order.

===========================================

Explanation:

Divide the second term over the first to get 30/20 = 1.5

Divide the third term over the second term to get 45/30 = 1.5

The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term

-------

fourth term = 1.5*(third term) = 1.5*45 = 67.5

fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25

-------

As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.

3 0
2 years ago
The question is..........
garri49 [273]
10-5=5 and 16-10=6 then you multiply 6x5
the answer is 30 Because you have to multiply L x W 

5 0
3 years ago
10.) Kelly is flying a kite to which the angle of elevation is
jarptica [38.1K]

Answer:

61.08m

Step-by-step explanation:

Let " l " be the length of the rope and " θ " the angle at which it is raised. In other words:

  • l = 65m
  • θ = 70°

As you can see, there has been made a right angle triangle. So:

sin70 =  \frac{h}{l}  \\ h = l \times sin70 \\ h = 65 \times 0.9397 = 61.08 \\ h = 61.08

So the kite is approximately 61.08m above the ground.

In order to find the sin70° i used a calculator.

3 0
3 years ago
How do you find deviation and standard deviation
AveGali [126]

Answer: The standard deviation formula may look confusing, but it will make sense after we break it down. ...

Step 1: Find the mean.

Step 2: For each data point, find the square of its distance to the mean.

Step 3: Sum the values from Step 2.

Step 4: Divide by the number of data points.

Step 5: Take the square root.

Step-by-step explanation:

6 0
2 years ago
Please help! WILL GIVE THE BRAINLIEST!!!
Mariana [72]
Hey there,

Your question states: <span>The coordinates of A, B, and C in the diagram are A(p, 4), B(6, 1), and C(9, q). Which equation correctly relates p and q? 

Your correct answer would be </span><span>D. p − q = 7 BECAUSE . . .we would have to back the number up because we would need to basically subtract </span>P-Q which would give you 7. So D.) would be your answer.

Hope this helps.

~Jurgen
7 0
3 years ago
Read 2 more answers
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