Answer:
Step-by-step explanation:
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Equation for given circle. A(4,7) is at center top of circle and B(7,4) is at center right hand side
1 answer:
Note:
The equation for a circle with center at (h,k) and radius r is
(x-h)² + (y-k)² = r²
For the specified circle,
h=4, h=7.
From the diagram shown below, the radius, r, is determined from the Pythagorean Theorem as
r² = 3² + 3² = 18
Therefore the equation for the circle is
(x - 4)² + (y - 7)² = 18
Answer: (x - 4)² + (y - 7)² = 18
The equation for a circle with center at (h,k) and radius r is
(x-h)² + (y-k)² = r²
For the specified circle,
h=4, h=7.
From the diagram shown below, the radius, r, is determined from the Pythagorean Theorem as
r² = 3² + 3² = 18
Therefore the equation for the circle is
(x - 4)² + (y - 7)² = 18
Answer: (x - 4)² + (y - 7)² = 18
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Answer:
x = 8
Step-by-step explanation:
The line segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
=
( cross- multiply )
6x(11x - 4) = 63x² ← distribute left side
66x² - 24x = 63x² ( subtract 63x² from both sides )
3x² - 24x = 0 ← factor out 3x from each term on the left side
3x(x - 8) = 0
Equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 8 = 0 ⇒ x = 8
But x > 0 , then x = 8
As we know,
and
now, let's add them as shown ~