Answer: 1, 4
Step-by-step explanation:
- Number #1 = x
- Number #2 =
- Number #1 = x = 4
- Number #2 = =
Answer:
B
Step-by-step explanation:
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 is the radius
To obtain this form use the method of completing the square
Given
x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )
x² - 8x + y² - 2y = 8
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1
(x - 4)² + (y - 1)² = 25 → B
Answer: b. 125
Step-by-step explanation:
Find the square roots of each, and if the square root is a decimal, it is not a perfect square.
Square root of 81: 9
Square root of 49: 7
Square root of 100: 10
That leaves 125.
Answer:
$48 per unit
Step-by-step explanation:
Increasing the price by $5 reduces demand by 20 units, so the slope of the curve is -4 units per dollar. This lets us write a demand equation as ...
q = -4(p -50) +184
q = -4p + 384
q = 4(96 -p)
The revenue is the product of price and demand:
r = pq = 4p(96 -p)
This is the equation of a quadratic curve that opens downward and has zeros at p=0 and p=96. The vertex (maximum) will be halfway between the zeros, at ...
p = (0+96)/2 = 48
A price of $48 per unit will yield a maximum total revenue.
The value of x would be
D. 120 degrees
That is because a line is 180 degrees, subtract 60 degrees since angle is going to be 60 degrees (equilateral triangle) like this:
180 - 60 = 120 degrees
