Answer:
33+12t−21t^2
Step-by-step explanation:
(2t-7)²-(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².
4t^2−28t+49−(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².
4t^2−28t+49−(25t^2−40t+16)
To find the opposite of 25t^2
−40t+16, find the opposite of each term.
4t^2−28t+49−25t^2−40t+16
Combine 4t^2 and −25t^2 to get −21t^2.
−21t^2−28t+49+40t−16
Combine −28t and 40t to get 12t.
−21t^2+12t+49−16
Subtract 16 from 49 to get 33.
−21t^2+12t+33
Swap terms to the left side.
33+12t−21t^2
I hope this helped!
From the given question we come to know of certain number of facts and they are:
At 1:00 PM the water level of the pond was = 13 inches
At 1:30 PM the water level of the pond was = 18 inches
At 2:30 PM the water level of the pond was = 28 inches
From the above given facts we can easily find the amount of water changing every half an hour.
Amount of increase in water from 1:00PM to 1:30 PM = (18 - 13) inches
= 5 inches
Amount of increase in water level from 1:30PM to 2:30PM = (28 -18) inches
= 10 inches
From the above two deductions we can come to the conclusion the the constant rate of change in water level is 5 inches for every half an hour.
The missing interior angle, x, of the convex polygon is 168⁰.
<h3>
Sum of interior angles of convex polygon</h3>
The sum of interior angles of a convex polygon is calculated as follows;
S = (n - 2) 180
S = (8 - 2) 180
S = (6) 180
S = 1080
The missing interior angle, x, is calculated as follows;
x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080
x + 912 = 1080
x = 1080 - 912
x = 168⁰
Learn more about interior angles of polygon here: brainly.com/question/24966296
Answer:
4a + 7 = SIMPLIFIED
4a = -7
a= -1.75 ANSWER OF EXPONENT IF NEEDED
