ANSWER
Transitive property of equality.
EXPLANATION
According to the transitive property of equality,
if
a=b and b=c, then a=c.
Therefore,
if x=y and y=10, then x=10 is an example of transitive property of equality.
1.9 or 1 9/10
Glad I could help!
The parabolic motion is an illustration of a quadratic function
The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
<h3>How to model the function?</h3>
Given that:
x stands for time and y stands for height in feet
So, we have the following coordinate points
(x,y) = (5,0), (11,0) and (10,80)
A parabolic motion is represented as:
y =ax^2 + bx + c
At (5,0), we have:
25a + 5b + c = 0
c= -25a - 5b
At (11,0), we have:
121a + 11b + c = 0
Substitute c= -25a - 5b
121a + 11b -25a - 5b = 0
Simpify
96a + 6b = 0
At (10,80), we have:
100a + 10b + c = 80
Substitute c= -25a - 5b
100a + 10b - 25a -5b = 80
75a -5b = 80
Divide through by 5
15a -b = 16
Make b the subject
b = 15a + 16
Substitute b = 15a + 16 in 96a + 6b = 0
96a + 6(15a + 16) = 0
Expand
96a + 90a + 96 = 0
This gives
186a = -96
Solve for a
a = -16/31
Recall that:
b = 15a + 16
So, we have:
b = -15 * 16/31 + 16
b =-240/31 + 16
Take LCM
b =(-240 + 31 * 16)/31
[tex]b =256/31
Also, we have:
c= -25a - 5b
This gives
c= 25*16/31 - 5 * 256/31
Take LCM
c= -880/31
Recall that:
y =ax^2 + bx + c
This gives
y = -16/31x^2 + 256/31x - 880/31
Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
Read more about parabolic motion at:
brainly.com/question/1130127
Answer:
x = 50°
Step-by-step explanation:
Angles in a quadrilateral add to 360°
First work out the interior missing angle
360° - ( 40° + 80° + 110° ) = 130°
Angles on a straight line add to 180° so
180° - 130° = 50°
Answer:
Alix does. See below.
Step-by-step explanation:
Givens
<em><u>Jenny</u></em>
- b1 = 90 cm
- b2 = 80 cm
- height = 23 cm
<em><u>Alex</u></em>
- b1 = 90 cm
- b2 = 70 cm
- height = 27 cm
Formula
For both territories the answer is based on the formula
Solution
<em><u>Jenny</u></em>
- Area = (90 + 80)23/2
- Area = 170 * 23 / 2
- Area = 85 * 23
- Area = 1955 units.
<em><u>Alex</u></em>
- Area = (70 + 90)*27/2
- Area = 160*27 / 2
- Area = 80* 27
- Area = 2160
Alix does by 205 cm
