The correct answer is option D. The coordinates of the centre for the given equation of a circle is (5,4).
The complete question is as below:-
Which of the following points represents the centre of a circle whose
equation is (X - 5)2 + (y-4)2 = 25?
A. (-5,-4)
B. (5,-4)
C. (-5,4)
D. (5,4)
<h3>What is a circle?</h3>
The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
(x - 5)² + (y - 4)² = 25 ← is in standard form
We can see that the centre of the circle is (5,4) by comparing the equation with the standard form.
Therefore the correct answer is option D. The coordinates of the centre for the given equation of a circle is (5,4).
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Answer:
The answer to your question is c = 20
Step-by-step explanation:
Data
a = 15
j = 24
k = 32
c = ?
Process
Use proportions to solve this problem. Compare the small triangle and the large triangle.
1.- Proportion of the small triangle
c/15
2.- Proportion of the large triangle
k/j
3.- Equal but terms and solve for c
c/15 = k/j
-Substitution
c / 15 = 32/24
c = 32(15)/24
-Result
c = 20
Answer:
15 bikes, 6 gocarts
Step-by-step explanation:
so both the vehicles have 1 seat each
the bicycles will be represented by B
the gocarts will be represented by G
because there are only 1 seat per for a total of 21 seats, we have this as the first equation:
B + G = 21
Gocarts have wheels and bikes have 2 seats, so we have this equation:
2B + 4G = 54
from there we can simply replace b with g to find the amount of gocarts first:
B + G = 21
B = 21 - G
2(21-G) + 4G = 54
42 - 2G + 4G = 54
2G + 42 = 54
2G = 12
G = 6
So there are 6 gocarts.
plug in 6 for g
B + 6 = 21
B = 15
therefore, there are 15 bikes and 6 gocarts
Answer:
c = 17
Step-by-step explanation:
a^2 + b^2 = c^2
= 8*8 + 15*15
= 64 + 225
= 289
= 289 SQUARED
= 17
