Answer:
The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)
Step-by-step explanation:
Let c be the prize of calazone
Let s be the prize of soda
She buys two calzones and three sodas she pays $13
So, 2c+3s=13
She buys three calzones and two sodas she pays $17
So, 3c+2s=17
Plot the equations on graph
2c+3s=13 --- Green
3c+2s=17 --- Blue
Intersection point will give the intersection point
So,(c,s)=(5,1)
So, Option c is correct
The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)
Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
I think it's D as an answer but I could be wrong
Equilateral
Isosceles
Scalene
Right
Acute
Obtuse
Answer:
8 cylinders
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +l) . . . . . for radius r and length l
__
The cylinders Rufus has each have an area of ...
A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²
That means 2500 cm² of paint will cover ...
2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders
Rufus has enough paint to cover 8 cylinders completely.
