Answer:
Step-by-step explanation:
we know that
The standard equation of a horizontal parabola is equal to
where
(h,k) is the vertex
(h+p,k) is the focus
In this problem we have
(h,k)=(0,0) ----> vertex at origin
(h+p,k)=(-4,0)
so
h+p=-4
p=-4
substitute the values
Statements #1-4 are all true. Statement 5 is false due to the fact that when x = 0, y = 3.
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7
Answer: Danny can make 15 sundaes from 11 1/4 cups of chocolate
Step-by-step explanation:
number of cups of chocolate syrup= 11 1/4 cups
For ever sundae, he decides to make, it will require 3/4 cup of chocolate
Number of sundae , Danny can make = number of cups of chocolate syrup /3/4 cup of sundae
= 11 1/4 / 3/4
45/4 x 4/3= 15 sundaes
Therefore, Danny can make 15 sundaes from 11 1/4 cups of chocolate
1 revolution is 360 degrees
1 hour = 60 minutes
360/60 = 6
so it rotates 6 degrees every minute
135/6 = 22.5 minutes
