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vagabundo [1.1K]
3 years ago
12

Your new flashlight uses a parabolic mirror which can be modeled by the equation (x – 2)² = 5(y + 1), where x and y are measured

in centimeters. You need to place a new light bulb in your flashlight. How far away from the vertex of the parabolic mirror should you place the bulb to ensure a perfect beam of light?

Mathematics
2 answers:
Ksju [112]3 years ago
6 0
The given equation is
(x - 2)² = 5(y + 1).

The given equation for the parabola is in the standard form
(x - h)² = 4p(y - k)
where
h = 2
4p = 5,    so that  p = 5/4
k = -1

The vertex is at 
(h,k) or (2, -1)

The focus is located at
(h, k + p) or (2, -1 + 5/4) = (2, 1/4)

We should place the bulb at p = 5/4 from the vertex.

Answer: 1 1/4 or 1.25 cm
 

pishuonlain [190]3 years ago
3 0

A) 1.25 cm above the vertex

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Jordan changed the dimensions of a rectangular picture measuring 20 cm wide by 25 cm high by a scale factor of 5/2.
iVinArrow [24]

Answer:

I believe it's an enlargement, because 5/2 is more than one whole.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the first 5 terms of the arithmetic sequence : a(1)=-3 , a(17)=-20
madreJ [45]
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference 
given:
a3=22
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substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i

also:
-20=a+(17-1)d
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but substituting i in ii we get:
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but:
a=22-2d
a=22-2(-3)
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thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
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the 3rd term will be:
a3=28-3(3-1)
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a4=28-3(4-1)
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5 0
3 years ago
Answer---&gt;x/3<br>Process?​
Komok [63]

Step-by-step explanation:

2x/3 - x/3 = x/3

they both have the same denominators (number at the bottom of the fraction) so all you have to do it subtract the numerators (top of the fraction) together. 2x-x =x, that's why it's x on the numerator for the answer

hope this helps

4 0
2 years ago
Read 2 more answers
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Answer : (12,4)
that is the max point
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What’s<br> -2x+y= -14 <br> 6x + 5y = -6
Katarina [22]
Hey, here's a pic of it ! hope this helps !

p.s., photomath is a good app for algebraic answers with work, you should check it out (:

3 0
3 years ago
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