In the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
<h3>What is the Pythagorean Theorem?</h3>
Pythagorean theorem is given as: c² = a² + b², where a and b are the legs of a right triangle, and c is the hypotenuse (the side opposite the right angle).
Given:
c = TV = 17
a = UT = ?
b = UV = 8
Plug in the values
17² = UT² + 8²
UT = √(17² - 8²)
UT = 15.
Thus, in the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
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Answer:
V = a³/8
Step-by-step explanation:
The volume of the original cube is the cube of the side length:
V = a³
When the side length is reduced to half its former value, the new volume is ...
V = (a/2)³ = a³/2³
V = a³/8 . . . . volume of the new cube
Answer:
-5
Step-by-step explanation:
h(x) = -3x - 2
h(x) = 1
[ just put '1' in place of every 'x' ]
-3(1) -2
= -3 -2
= -5 (answer)
Answer:
Proof below.
Step-by-step explanation:
<u>Quadratic Formula</u>

<u>Given quadratic equation</u>:

<u>Define the variables</u>:
<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:







Therefore, the exact solutions to the given <u>quadratic equation</u> are:

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N+n<8
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