Answer:
( x + 9)² + y² = 20
Step-by-step explanation:
The standard equation of a circle is ( x – h)² + ( y - k)² = r², where the center is (h, k) and r is the radius. By plugging in the given numbers from the question, we have [ x – (-9)]² + ( y - 0)² = (2√5)².
( x + 9)² + y² = (2)(√5)(2)(√5)
(2)(2) = 4 (√5)(√5) = 5 (4)(5) = 20
( x + 9)² + y² = 20
<span> You can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7. Plug the given value of the diameter into the formula and solve.</span>
Answer:
10
Explanation:
Make our unknown equal to x, in this case his current age.
In 20 years he will be three times as old as he is now, in other words:
x + 20 = 3x
Now solve the equation:
20 = 3x - x
20 = 2x
10 = x
Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
SOLUTION:
We are to calculate the shaded area of the given shape.
CONCEPT:
This is a triangle that a rectangle was cut out from.
To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.


The shaded area = Area of the triangle - Area of the rectangle