Answer:
250,000
Step-by-step explanation:
1/2 or 50% of 500,00 is 250,00
An equation for the parabola would be y²=-19x.
Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis. This means we will use the standard form
(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.
Beginning with the directrix:
x=h-p=4.75
h-p=4.75
Since the vertex is at (0, 0), this means h=0 and k=0:
0-p=4.75
-p=4.75
p=-4.75
Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
y²=-19x
Answer:
Step-by-step explanation:
Using the rule of exponents
= 
, then
= 
=
Answer:
187 cm²
Step-by-step explanation:
The bottom rectangle area is easy, it is 15*9 = 135 cm².
To find the area of the triangle, you only need the base width and its height (you don't need the hypotenuse). You can then use the formula: area triangle is base times half height.
The base width is 15-7 = 8 cm
The height is 22-9 = 13 cm
So the area of the triangle is 13*8/2 = 52 cm²
Together with the 135 of the rectangle that sums to 52+135 = 187 cm².
First, Jane must know the volume of the box.
Volume = l * w * h
Volume = 1 * 0.5 * 0.5
Volume = 0.25 yard^3
1 yard^3 = $25
So,
1 : 25 = 0.25 : x
x = 25 * 0.25
x = $6.25
So she need to spend $6.25
