Answer:
y=-0.215x^2+35
Step by Step:
Let, 
, 
, 
, 
We know that, the general equation of the parabola.
Substitute the value of 
in equation 
and find the value of 
Hence, the equation of the parabola is:
Answer:
Step-by-step explanation:
Equation : 165 = 102 + 1.4K
Define: K is # of kilometers
Solve: 63 = 1.4k, so k = 45
Final answer: 45 kilometers
The lengths of the line segments are summarized in the following list:
- DF = 3
- DE = 8 / 3
- FG = 3
- FH = 9 / 2
- GH = 3 / 2
- EH = - 11 / 6
<h3>How to calculate the length of a line segment based on point set on a number line</h3>
Herein we have a number line with five points whose locations are known. The length of each line segment is equal to the arithmetical difference of the coordinates of the rightmost point and the leftmost point:
DF = - 1 - (- 4)
DF = 3
DE = (- 1 - 1 / 3) - (- 4)
DE = 3 - 1 / 3
DE = 8 / 3
FG = 2 - (- 1)
FG = 3
FH = (3 + 1 / 2) - (- 1)
FH = 4 + 1 / 2
FH = 9 / 2
GH = (3 + 1 / 2) - 2
GH = 1 + 1 / 2
GH = 3 / 2
EH = (3 + 1 / 2) + (- 1 - 1 / 3)
EH = - 2 + (1 / 2 - 1 / 3)
EH = - 2 + 1 / 6
EH = - 11 / 6
To learn more on lengths: brainly.com/question/8552546
#SPJ1
The height of the wall from the question is 13.27ft
<h3 /><h3>Pythagoras theorem </h3>
The theorem states that the square of the longest side is equal to the sum of square of other two sides.
From the given question
Hypotenuse (ladder length) = 15ft
Adjacent = 7feet
Required
Height of the wall H
According to the theorem
15² = 7² + H²
H² = 225 - 49
H² = 176
H = 13.27feet
Hence the height of the wall from the question is 13.27ft
Learn more on pythagoras theorem here; brainly.com/question/343682
#SPJ1
By definition, the volume of a quarter of a sphere is given by:
Where,
r: sphere radius
Substituting values we have:
Making the corresponding calculation we have:
Answer:
The volume of the quarter-sphere shaped tank is:
