Answer:
the radius of the circle is 6cm
Step-by-step explanation:
the area of a circle is given to be = 36πcm²
radius of the circle = ?
to find the radius of the circle lets start by applying the formula for finding the area of a circle.
area of a circle = πr²
36πcm² = πr²
36π = πr²
divide both sides by π
36π/π = πr²/π
36 = r²
to get the value of r we are going to look for a way of getting rid of the square on "r" by squaring 36
r² = 36
r =√36
r = 6cm
therefore the radius of the circle is 6cm
Answer:
Step-by-step explanation:
a).
Therefore, common denominator of 20.
b).
Common denominator of 10.
c).
=
=
Common denominator of 48.
Answer:
7.157894736842105263
Step-by-step explanation:
(calculator)
The point (1,5) on the graph of f(x) means x = 1 and y = 5
So we plug x = 1 into f(x) to get f(1) = 5
If we replace x with x-1, then we have x = 1 turn into x-1 = 1. Solve for x to get x = 2
So this means that the point (2,5) is on the graph of f(x-1). Every point on f(x-1) will be the result of shifting a corresponding point on f(x) 1 unit to the right.
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Final Answer: (2,5)
Answer:
(7,9)
Step-by-step explanation:
7x - 8y = -23
7x - 7y = -14
Solve the equation for 7x
7x - 8y = -23
7x = -14 + 7y
Substitute the given value of 7x into the equation 7x - 8y = -23
-14 + 7y - 8y = -23
solve the equation for y
y = 9
substitute the given value of y into the equation 7x = -14 + 7y
7x = -14 + 7(9)
solve the equation for x
x = 7
<u>(7,9)</u>