Answer:
pray to god about it and go sit somewhere quiet and think
Step-by-step explanation:
Answer:
Range: [-7, 8]
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a coordinate plane
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusion
Step-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Answers:
hypotenuse = 20 feet
longer leg = 16 feet
======================================================
Explanation:
c = x = length of the hypotenuse
a = x-4 = length of one of the legs
b = 12 = length of the other leg
Use the pythagorean theorem
a^2 + b^2 = c^2
12^2 + (x-4)^2 = (x)^2
144 + x^2 - 8x + 16 = x^2
144 - 8x + 16 = 0 .... the x^2 terms cancel
160-8x = 0
160 = 8x
8x = 160
x = 160/8
x = 20 is the hypotenuse
x-4 = 20-4 = 16 is the longer leg
--------
Check:
12^2+16^2 = 144+256 = 400
20^2 = 400
Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.
