Answer: x² + y² = 25
Step-by-step explanation: As we have x²+y²=25 (A) as options,
x-y=1 (B)
x+y=25 (C)
x²+y²=5 (D)
We can rule out B and C as they are not circles. Circles must be
(x - xc)² + (y - yc)² = r². They must have index 2.
We have then A or D.
As the circle must pass through (3,4), we can substitute as x=3 and y=4
(A) 3² + 4² = 9 + 16 = 25 ok
(D) 3² + 4² = 9 + 16 = 25 ≠ 5
So, it is A, x² + y² = 25
Answer:
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
the unknown can NEVER be negative
so you wont see an answer like
-b= 7, -a=98; -k= -9
so,
-x= -8 (change their positions so that the unknown, x, is positive)
x=8
Answer:
The solution set is (-3, 4).
Step-by-step explanation:
x2 + 4x - 9 = 5x + 3
x^2 + 4x - 5x - 9 - 3 = 0
x^2 -x - 12 = 0
(x - 4)(x + 3) = 0
x = -3, 4.
Answer:
First side is: 12cm
Second side is: 36cm
Third side is: 16cm
Step-by-step explanation:
Let x represent the shorter side
Then 3x represents the second side, and
x + 4 represents the third side.
Perimeter of three sides:
P = x + 3x + (x + 4)
Perimeter is 64, so
64 = x + 3x + (x + 4)
64 = 5x + 4
60 = 5x
12 = x
First side is x: 12cm
Second side is 3x: 3(12) = 36cm
Third side is x + 4: 12 + 4 = 16cm
