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Serjik [45]
3 years ago
14

Which is the quadratic variation equation for the relationship? y varies directly with x2 and y = 72 when x = 6.

Mathematics
1 answer:
pogonyaev3 years ago
4 0
Hello,

y=k*x² and if y=72 then x=6
72=k*6²==>k=2

y=2*x²

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What is 90 percent of 20
Varvara68 [4.7K]

Answer:

18

Step-by-step explanation:

What number is 90% of 20?

18

What is 90 percent (calculated percentage %) of number 20? Answer: 18.

4 0
3 years ago
Can someone please help me simplify this expression.
vichka [17]

Answer:

5+c

Step-by-step explanation:

Simplify

-(-5-c) is -1(-5-c)

Keep in mind that if there is a negative sign in front of a bracket it's always -1

Simplify Brackets you get

5+c

5 0
3 years ago
Read 2 more answers
A gym offers its members an optional clean towel service for $16.40 each month.
hoa [83]

The money collected during the second week was :  840

<h3>Determine the amount collected </h3>

Analysis:

Total number of persons.

number of persons that paid first week = 12

number that paid second week = 62 - 12 = 50

if each person is to pay 16.40, then 50 people would pay = 16.4 x 50 = 840 dollars.

Hence we can conclude that The money collected during the second week was :  840

Learn more about gym membership : brainly.com/question/2516040

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7 0
2 years ago
A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.
Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

\sqrt{(x-5)^2+(y-(-3))^2}is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0
3 years ago
What is the first step to finding the equation of a line when 2 points are known?
vladimir1956 [14]
The first step to finding the equation of a line when 2 points are known....
the first step would be to use the slope formula to find the slope of the line
5 0
3 years ago
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