Answer:
(- 5, 8 )
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
(x + 5)² + (y - 8)² = 1 ← is in standard form
with centre (h, k ) = (- 5, 8 )
Answer: Multiply (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x2 + 11x + 120
We know that David wants to increase the price per cup to increase his revenue. He found out that for every $0.25 grows( increase), x, in the price for each cup.
In the event of a price increase, 2 cups remain unsold, and doubling the cups is still not sold. Then the numbers are sold (60-2x). Depending on the choice:
Revenue= (60 -2x)(2 +0.25x)
60·2 +60·0.25x -2x·2 -2x·0.25x
= -0.5x² +11x +120
Step-by-step explanation:
height (h) = 12
base (b) = 6
Area of parallelogram
= b * h
= 6 * 12
= 72 units squared.
Hope it will help :)❤
Answer:
1/2
Step-by-step explanation:
quadratic equation is ax²+bx+c=0
Products of roots is c/a
Sum of roots is -b/a
On comparing the above equation with general equation we have
a=1
b=-(3k)
c=-(k+2)
Now it is given that sum of roots and product of roots is equal
So,
-b/a=c/a
-b=c
-[-(3k)]=-(k+2)
3k=-k-2
3k+k=-2
4k=-2
k=-1/2