Answer:
A 99-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
2 answers:
Answer:
33 inches
Step-by-step explanation:
The question above can be solved by using<em> "algebraic expressions." </em>
Let x be the length of the <em>shorter piece.</em>
Let 2x be the length of the<em> longer piece.</em>
Let's solve.
- x + 2x = 99 (inches)
- 3x = 99
- x =
- x = 33
The length of the shorter piece is 33 inches.
Let's get the length of the longer piece.
- 2x = ?
- 2(33) = 66
The length of the longer piece is 66 inches.
Let's check.
x + 2x = 99 inches
33 + 66 = 99
99 = 99
The answer is correct.
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Answer:
see explanation
Step-by-step explanation:
1
The cosine function in standard form is
y = acos(bx + c)
where a is the amplitude, period = and
phase shift = -
here b = 2 and c = , thus
phase shift = - = -
2
the amplitude = | a |
which has a maximum of a and a minimum of - a
y = 4cosx ← has a maximum value of 4