Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to
where
(h,k) is the center
r is the radius
we have
substitute
Answer:
Step-by-step explanation:
first problem:
3 is a solution to x^2=9, so to a, b, c and d
second problem
-2 is a solution to:
a, b, c and d because (-2)^2=4, 4=4, b) 5*(-2)^2=5*4=20 and so on
basically to all choices
the third, solve the equations:
x^2=1, =
, x=1
x^2=81 sqrtx^2=sqrt81, x=+and -9
4x^2=1 divide by 4 , x^2=1/4, x=+&- 1/2 (plus si minus 1/2, amindoua solutiile sint valabile)
3x^2=75, we divide by 3, we get x^2=25, x=+&-5
49x^2=121 , x=+and- 11/7
25x^2=225 divide by 25, x^2=9, x =+and - 3
36x^2=144 we divide by 36, we get x^2=4, x = +and- 2
x^2-0.25=0 x^2=0.25, x=+and - 1/2
2x^2-0.32=0 , 2x^2=0.32, x^2=0.16 ( i divided by 2) , x=+and- 2/5
4x^2=0.04, divide by 4, x^2=0.01, x=+and - 0.1
3x^2=10.8, divide by 3, x^2=3.6, x=+and - 1,89
for the : determinati solutiile ecuatiilor
a) (x-1)^2=49, do the quadratic, you get x=8 and -6
due to the length of this page, i cant explain every step
b) (2x+1)^2=81, you get x= 4 and -5
c)(3x-1)^2=121, do the quadratic, x=- 10/3 and +4
d) 3(x-3)^2=48, we divide by 3 first , (x-3)^2=16, we get x=7 and -1
e)5(x+2)^2=45 we divide by 5, (x+2)^2=9, x=+1and -5
f) 7(2x-1)^2=175 we divide by 7 and we have (2x-1)^2=25 x=+3 and -2
Determine x belong to R
a) 1/9 x^2=16, we multiply 9*16=144, x^2=144, x=+and - 12
1/100x^2-1/64=0, or 1/100 x^2=1/64, x=+and - 5/4
1/25 x^2=0.49, x^2=0.49*25=12.25, x=+ and - 7/2