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
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Complete Question:
Find the attached image for the diagram of the question
A. 3 B √34 C √65 D √41
Answer:
The length of x, is √65
Step-by-step explanation:
To determine the length, x, we are going to apply Pythagoras theorem;
Consider triangle ABC;
BC² = AB² + AC²
5² = 3² + AC²
AC² = 5² - 3²
AC² = 25 - 9
AC² = 16
AC = √16
AC = 4
Now, we can calculate length, x
Consider triangle ACD
AD² = AC² + CD²
x² = 4² + 7²
x² = 16 + 49
x² = 65
x = √65
Answer:
5/2, 4/5 are terminating decimals
Step-by-step explanation:
5/2 = 2.5 this is a terminating decimal
4/5 = .8 this is a terminating decimal
2/7 = .285714(repeating) This is a repeating decimal
4/3 = 1.3(repeating) this is a repeating decimal
