Answer:
Part 1) The graphs open downward
Part 2) The vertex is the point (-2,5)
Part 3) The axis of symmetry is x=-2
Step-by-step explanation:
step 1
we have
This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex is a maximum
step 2
The quadratic equation is written in vertex form
where
(h,k) is the vertex
so
In this problem
The vertex is the point (-2,5)
step 3
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
The x-coordinate of the vertex is -2
therefore
The axis of symmetry is x=-2
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
In order to obtain a solution, we must assume that the figure is a parallelogram.
Angle BED will be congruent to angle BCD. The sum of angles in triangle BED is 180°, so we have ...
55° +51° +(14x +4)° = 180°
14x = 70 . . . . . . divide by °, subtract 110
x = 5 . . . . . . . . . divide by 14
(a)
10 miles ーー> 65 minutes
1 mile ーー> 65 minutes ÷ 10 = 6.5 minutes
∴ Chau takes 6.5 minutes to run 1 mile.
(b)
16 pound ーー> $9
1 pound ーー> $9 ÷ 16 = $0.5625
∴ Diane paid $0.5625 per pound of rice.
This will give you many results. AP = PB by construction
C is a point made by making the compass points such that AC>AP and the compass points are not altered so that BC = AC
C when joined to P creates a perpendicular line. This is very important. You use it a lot.
Well we can say 10.90/10 = the cost per pound to ship the item
we can infer this from the above text so
10.90/10 = 1.09.
So 1.09 * 37 = 40.33
$40.33
or 40 dollars and 33 cents to ship the second box with a weight of 37lb (pounds).
