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photoshop1234 [79]
3 years ago
12

(04.04 MC) Given the directrix of y = −1 and focus of (0, 3), which is the equation of the parabola?

Mathematics
1 answer:
densk [106]3 years ago
3 0

Answer:

its c,  y = one eighthx2 + 1

Step-by-step explanation:

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Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
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(24, 12) and (36, 0).  The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0.  These two points satisfy both conditions and both sum to 36.
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Read 2 more answers
WILL GIVE BEST RESPONSE
tino4ka555 [31]
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
4 0
3 years ago
The vertices of a polygon are P(0,4), Q(5,4), R(5,−3) and S(0,−3). What is
andrezito [222]

Answer:

 Perimeter of the polygon p = 24

Step-by-step explanation:

Step(i):-

Given the vertices of a polygon are

P(0,4) ,Q( 5,4) ,R( 5,-3) and S(0,-3)

The distance of PQ

 a = PQ = \sqrt{(4-4)^{2} +(5-0)^{2} }  = \sqrt{25} =5

The distance of QR

b = Q R= \sqrt{(-3-4)^{2} +(5-5)^{2} }  = \sqrt{49} =7

The distance of RS

c = RS = \sqrt{(0-5)^{2} +(-3+3)^{2} }  = \sqrt{25} =5

The distance of PS

d = PS = \sqrt{(0-0)^{2} +(-3-4)^{2} }  = \sqrt{49} =7

<u><em>Step(ii):-</em></u>

Perimeter of the polygon

       = sum of all sides of polygon

p = a+ b+ c+ d

p = 5+7+5+7

p = 24

<u><em>Final answer:-</em></u>

 Perimeter of the polygon p = 24

5 0
3 years ago
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