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lakkis [162]
2 years ago
6

What is the image point of (5,-5)(5,−5) after a translation right 2 units and up 3 units?

Mathematics
1 answer:
schepotkina [342]2 years ago
6 0

Answer:

(7, - 2 )

Step-by-step explanation:

a translation of 2 units right means add 2 to the x- coordinate

a translation of 3 units up means add 3 to the y- coordinate

(5, - 5 ) → (5 + 2, - 5 + 3 ) → (7, - 2 )

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A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of
slavikrds [6]

Answer:

The height of the cone h = 27(x^4)y

Step-by-step explanation:

Firstly, we calculate the volume of the cylinder.

Mathematically, the volume of the cylinder is pi * r^2 * h

using the radius x and height y

The volume V of the cylinder is ;

V = pi * x^2 * y

Now we know they have the same volume V, the formula for the volume of a cone is ;

1/3 * pi * r^2 * h

Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;

V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y

The pi gives way as it cancels out on both sides and we have the following;

h/27x^2 = x^2y

Mathematically h = x^2 * y * 27x^2

h = 27(x^4)y

p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x

8 0
3 years ago
Enter the value of p so the expression 5/6-1/3n is equivalent to p(5-2n)?
inna [77]
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3 years ago
If 2 pounds of cottage cheese cost $3.20 what is the cost of a 3 ounce portion of cottage cheese
natka813 [3]
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3 years ago
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schepotkina [342]
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