Answer:
(x - 8)^2 + (y + 1)^2 = 68
Step-by-step explanation:
The standard form of the equation of the circle with center (8,−1) is :
(x - 8)^2 + (y + 1)^2 = R^2
If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.
You can't. There are an infinite number of different parallelograms,
with different dimensions, that all have area of 96 square miles.
Knowing the area doesn't tell you the dimensions.
Here are a few parallelograms with areas of 96 square miles:
-- square, every side 4√6 miles long
-- rectangle, 12 miles long, 8 miles wide
-- parallelogram, base=32 miles, height=3 miles
There are an infinite number of others.
We need only focus on the standard equation of a circle centered at the origin with radius r: x^2 + y^2 = r^2. Here, r = 10 and so r^2 = 100.
Thus, in this case, the equation of the circle is x^2 + y^2 = 10^2.
Answer:
A) A line
Step-by-step explanation:
Notice that:
x-y=4
-y=4-x
y=-4+x
y=x-4
The equation y=mx+b produces a line, so A) a line would be correct
1 ) Subtract 6 from both sides .
-3x > -2 - 6
2) simplify -2 - 6 to -8.
-3x > -8
3) Divide both sides by -3
x < -8/-3
4)two negatives make a positive
x < 8/3
