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Ainat [17]
3 years ago
12

What is the equation of the graph below ?

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

y=(x-3)^2 -2

Step-by-step explanation:

when the number to the power of two is positive the graph will aslo go up, (both ends go up as shown in the graph. the parabula of the graph is -2.

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Find the angle which is equal to its supplement. ​
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the angle which is equal to its supplement is 90 degree

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Solve for <br> 3x + 12= -12
oee [108]

Answer:

x = -8

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides:

3x + 12 (-12) = -12 (-12)

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Next, divide 3 from both sides:

(3x)/3 = (-24)/3

x = -24/3

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x = -8 is your answer.

~

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3 years ago
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3 years ago
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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