Pleaseeeee helpppppp!!
1 answer:
Answer: The equation of the circle as specified is (x+5)² + (y -1)² = 25
Step-by-step explanation: Use the Pythagorean Theorem to calculate the length of the radius from the coordinates given for the triangle location: A(-1,4), B(-1,1) and C(-5,1)
subtract y-values of A & B 4-1=3 AB = 3
subtract x-values of B &C -5-(-1) =4 BC=4 3² + 4² = 9 + 16 = 25
√25 = 5 AC = 5 That is the radiuus of the circle.
The sides of the triangle are AB=3, BC=4, AC=5.
Use the equation for a circle:
( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
Use the coordinates of C, (-5, 1) as h and k in the equation
Substituting those values, we have (x -[-5])² + (y -[1])² = 5²
Simplify: (x+5)² + (y -1)² = 25
A graph of the circle is attached. The radius is AC, between the center C (-5,1) and A( -1,4) on the circumference. (Sorry, I still need to learn how to create line segments!)
You might be interested in
Given:
Consider the below table attached with this question.
Every square meter of ceiling requires 10.75 tiles.
To find:
The missing values in the table.
Solution:
We have,
1 square meter of ceiling = 10.75 tiles. ...(i)
Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.
Multiply both sides by 10.
10×1 square meter of ceiling = 10×10.75 tiles.
10 square meter of ceiling = 107.5 tiles.
Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.
Divide both sides by 10.75 in (i).
square meter of ceiling = 1 tile.
Multiply both sides by 100.
square meter of ceiling = 100 tiles.
On approximating the value, we get
9.3 square meter of ceiling = 100 tiles.
Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.
Multiply both sides by a in (i).
a×1 square meter of ceiling = a×10.75 tiles.
a square meter of ceiling = 10.75a tiles.
Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.
