Answer:
Step-by-step explanation:
Given
Volume of baby pool = 52ft³
Required
Determine the volume of the medium pool
Volume of a cylinder is calculated as:
Hence, the volume of the baby pool is:
where r and h are the radius and height of the baby pool
Represent the height and radius of the medium pool as H and R
From the given parameters in the question
and 
and 
The volume of the medium cylinder is calculated as
Substitute 4h for H and 4r for R
Open bracket
Collect like terms
Recall that
So, the expression becomes
Hence, the medium pool can hold 
of water
Answer:
Below in bold.
Step-by-step explanation:
y = x^2-8x+6
y = (x - 4)^2 - 16 + 6
y = (x - 4)^2 - 10
So the vertex is at (4, -10)
The coefficient of x^2 of this function is 1 ( positive) so there will be a minimum value.
Minimum value = -10.
x-intercepts:
(x - 4)^2 - 10 = 0
(x - 4)^2 = 10
x - 4 = +/- √10
x = 4 +/- √10
- therefore there are 2 x-intercepts.
The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
<span>To regroup 378 x 6, you must first establish the place values of each digit. 3 has a place value of 300, because it is in the hundreds column; 7 has a place value of 70 because it is in the tens column; 8 has a place value of 8 because it is in the units column. This means you can regroup 378 x 6 as (300 x 6) + (70 x 6) + (8 x 6). This makes 2,268. </span>
Answer:
glide reflection
Step-by-step explanation:
I hope this helps
