The equation of the circle with a center (-5, -6) and a radius of 5 is (x + 5)² + (y + 6)² = 25.
<h3>How to Write the Equation of a Circle?</h3>
The standard equation for writing the equation of a circle is: (x - h)² + (y - k)² = r².
Given the following:
Center (-5, -6) = (h, k)
Radius = 5 = r
Plug in the values into the formula
(x + 5)² + (y + 6)² = 5²
(x + 5)² + (y + 6)² = 25
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Answer:
k=(-7y+11)/4
Step-by-step explanation:
Given
11(k-1)= 7(k-y)
In order to find the value of K we have to separate k on one side, so
Multiplying 11 and 7 into the brackets on both sides
11k-11=7k-7y
Subtracting 7k on both sides
11k-11-7k=7k-7y-7k
11k-7k-11= -7y
Adding 11 to both sides
4k-11+11= -7y+11
4k= -7y+11
4k=-7y+11
k=(-7y+11)/4
So the value of K is (-7y+11)/4.
Answer:
D
Step-by-step explanation:
Because the position/order of the letters match on both triangles.
O = D
Z = F
W = E
Therefore, OZW ~ DFE.
Answer:
96 square inches.
Step-by-step explanation:
From given picture we see that
BC=8 in
AD=10 in
Given that
AD=AB
Then AB=10 in
Apply Pythagorean theorem in triangle ABC to find AC
take square root
Then area of triangle ABC
There are total 4 congruent triangles.
Then total area of the given figure = 4(24)=96 square inches.