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Arada [10]
3 years ago
5

a circle passes through the points (2,0) and (8,0) and has the y - axis at a tangent. Find the two possible equations for the ci

rcle
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0
The centre of this circle is at 12
1
2
and has radius 12
1
2
, so the equation is (−12)2+2=12
(
x
−
1
2
)
2
+
y
2
=
1
2
.
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A sparkling-water distributor wants to make up 200 gallons of sparkling water to sell for $5.00 per gallon. She wishes to mix th
Sedbober [7]
Assuming she make no profit and no loss from the business.

Let the number of gallons of the $8 grade water used be x, that of the $3 grade water, y, and that of the $4.50 grade water be z, then:

x + y + z = 200 . . . (1)
8x + 3y + 4.5z = 200(5) = 1,000 . . . (2)
z = 2y . . . (3)

Putting equation (3) into equations (1) and (2), we have:

x + y + 2y = 200
or x + 3y = 200 . . . (4)
and
8x + 3y + 4.5(2y) = 1000
or 8x + 3y + 9y = 1000
or 8x + 12y = 1000 . . . (5)

Multiplying equation (4) by 4, we have:
4x + 12y = 800 . . . (6)

Subtracting equation (6) from equation (5), we have:
4x = 200
or x = 200 / 4 = 50

Substituting for x into equation (4), we have:
50 + 3y = 200
or 3y = 200 - 50 = 150
or y = 150 / 3 = 50

Substituting for z into equation (3) gives:

z = 2(50) = 100

Therefore, 50 gallons each of the $8 grade water and the $3 grade water should be used and 100 gallons of the $4.50 grade water.
4 0
3 years ago
Cones A and B are similar.
katen-ka-za [31]

Well it's not possible to find height with knowing cone B's height or radius .Steps provided below if you have pic you can solve by yourself.

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6 0
2 years ago
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Answer:

See below.

Step-by-step explanation:

Convert to fractions with a denominator of 4:

2pi + pi/4

= 8pi/4 + pi/4

= 9pi/4.

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