The standard form for the equation of a circle is :
<span><span> (x−h)^2</span>+<span>(y−k)^2</span>=r2</span><span> ----------- EQ(1)
</span> where handk are the x and y coordinates of the center of the circle and r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (2,-5)and(8,-9) is :
((2+(8))/2,(-5+(-9))/2)=(5,-7)
So the point (5,-7) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(2−(5))^2+(-5−(-7))^2=9+4=13
⇒r=√13
Subtituting h=5, k=-7 and r=√13 into EQ(1) gives :
(x-5)^2+(y+7)^2=13
Answer:
0
Step-by-step explanation:
2x-6=2x+15
2x-2x=15+6
0x/0=21/0
x=0
Answer:
Step-by-step explanation:
Rationalizing the denominator of a fraction is when one multiplying fraction such that it removes any radical from the denominator. This can be done by multiplying both the numerator and the denominator by the radical that is present in the denominator. In fractional terms, a number over itself is equal to one, therefore, doing this would keep the equation true. After multiplying, one will simplify the resulting fraction.
Simplify like factor found in both the numerator and the denominator,
Answer:
a = 18
Step-by-step explanation:
36 / 2 = 18
18 + 18 =36
Answer:
Which of the following accurately depicts the transformation of y= x^2 to the function shown below? y=2(x-3)^2+5
A. Shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 5 units.
B. Shift right 3 units, stretch vertically by a factor of 2, then shift up 5 units.
C. Shift up 3 units, stretch horizontally by a factor of 2, then shift left 5 units.
D. Shift 5 units right, stretch vertically by a factor of 3, then shift up 2 units.
Step-by-step explanation:
For f(x) = 4x+1 and g(x)= x^2-5, find (f/g) (x).