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3 years ago

Write an equation of the circle with center (7,4) and diameter 10

2 answers:

7 0

Circles follow ghe equations
(x-h)^2 + (y-k)^2 =r^2
with center (h,k) and radius r
for this circle it would be
(x-7)^2 + (y-4)^2 = 100

ElenaW [278]3 years ago

4 0

If the diameter is 10, then the radius is 5. (x-7)² + (y-4)² = 5²
The answer is (x-7)² + (y-4)² = 25

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Find the length of the arc of the circular helix with vector equation r(t) = 2 cos t i + 2 sin t j + tk from the point (2, 0, 0)

USPshnik [31]

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath+t\,\vec k$

$\implies\vec r'(t)=-2\sin t\,\vec\imath+2\cos t\,\vec\jmath+\vec k$

$\implies\|\vec r'(t)\|=\sqrt{(-2\sin t)^2+(2\cos t)^2+1^2}=\sqrt5$

Then the length of the arc is

$\displaystyle\int_0^{2\pi}\|\vec r'(t)\|\,\mathrm dt=\sqrt5\int_0^{2\pi}\mathrm dt=2\sqrt5\,\pi$

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3 years ago

Jay is 4 years older than May. May is twice as old as Kay. How old is Jay if Kay is x years old ?

Lina20 [59]

Answer: Jay is 2x + 4 years old

Step-by-step explanation:

May's age = M

Jay's age = J

Kay's age = x

J = M + 4

M = 2x

substitution

J = 2x + 4

Hope it helps <3

6 0

3 years ago

The stemplot below represents the number of bite-size

navik [9.2K]

Hey can someone help me with my latest question no one‘s helping me and I really need it

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3 years ago

Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the e

alisha [4.7K]

The point-slope form of the equation of the line is:

(y - y1) = m (x - x1)

So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:

[y - (-2) ] = (-1/3) [ x - 4 ]

You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.

That slope, -1 / 3, means that the function is decresing (because the slope is negative), and it decreases one unit when x increases 3 units.

Now you can fill in the blanks in this way:

Plot the point (4, -2), move 1 unit down, and 3 units over to find the next point on the line.

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3 years ago

4. A ramp is being constructed with wood and then filled with concrete. How many cubic feet of concrete will be needed to comple

Vlad [161]

Answer:2.5

Step-by-step explanation:

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3 years ago