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Alex17521 [72]
3 years ago
8

How do you figure out the quotient of (16x³+24x²)÷2x

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0
( 16x^{3} +24 x^{2} ):2x= 16x^{3}:2x+ 24x^{2}:2x=8 x^{2} +12x
Have a nice day!!~~~ :)
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In a sequence of numbers, a5 = 30, a6 = 34, a7 = 38, a8 = 42, and a9 = 46.
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Answer:

A.)

Step-by-step explanation:

Try each choice to see which one works.

A.)

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Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)
Digiron [165]

Answer:

(x+2)^2+(y-4)^2=16

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is 4.

We know that the circle is tangent to the X axis at (-2,0)

That means the x coordinate of the center has to be -2, as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is (-2, 4) and a point on the edge of the circle (the tangent point) which is (-2,0). so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius. When we put the numbers in: we get (x-(-2))^2+(y-(4))^2=4^2 which can be simplified into (x+2)^2+(y-4)^2=16 which is the answer.

Step-by-step explanation:

4 0
3 years ago
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