What is the equation of a circle with center (-3, -5) and radius 4?

Mathematics

1 answer:

o-na [289]2 years ago

8 0

Answer:

$(x+3)^{2} +(y+5)^{2} =16$

Step-by-step explanation:

the general equation of a circle is

$(x-h)^{2} + (y-k)^{2} =r^{2}$

with (h,k) being the centre of the circle and r the radius

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An equation is shown -4/5 (9x-20)-3x 4/5 x -6

Amanda [17]

Answer: x=2

Step-by-step explanation:

if u plug in the value of x=2 into the equation both sides equal -22/5

5 0

2 years ago

Hello, can someone help me with these ones pls? I need it ASAP Find the slope of the line in each figure. If the slope of the li

sp2606 [1]

Answer:

slope: -3

equation: y = -3x

Step-by-step explanation:

the slope is "the amount of change in the y direction when you take one step to the right".

In the first graph you can see that (0,0) and (1,-3) are on the graph. So when you step from x=0 to x=1, the graph moves 3 units down. Hence the slope is -3. The minus sign means down.

Sometimes it is difficult to see the change in the y direction when only taking 1 step to the right. That's no problem, if you take e.g., 4 steps to the right, you have to divide the y change that you found by 4.

Written in a formula it is dy/dx, a.k.a: the y change divided by the x change.

So that takes care of the slope.

In a general formula for a line y = ax + b, the slope is the letter a.

b is used to move the graph up and down. The first graph moves through (0,0) so no b needed, hence the equation y = -3x.

If b would be, say, 5, the graph would be lifted up by 5. In fact, the point (0,b) will be the point where the graph crosses the y-axis. So you find b by finding the intersection with the y axis. x must be 0 at this point.

With this approach you can solve all assignments easily.

6 0

3 years ago

What is one of the solutions to the following system of equations?

Amanda [17]

Answer:

(8,-1)

Step-by-step explanation:

Given : $x^{2} +y^{2} =65$