The length of the shorter piece is 30
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions that are made up of constants, terms, factors and variables.
They also contain mathematical operations such as division, addition, multiplication, subtraction, etc
From the information given, we have;
Let the length of one piece be x
Let of the other piece is 5x
5x + x = 180
collect like terms
6x = 180
Make 'x' the subject
x = 180/ 6
x = 30
Thus, the length of the shorter piece is 30
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first multiple they 1600 and 70 hours if you'll get the answer go divide with the 99.7 and then the Answer is 1,123
The values of b and c are -4 and 4 respectively
<h3>How to determine the values of b and c?</h3>
The function is given as:
f(x) = x^2 + bx + c
Differentiate f(x)
f'(x) = 2x + b
Set to 0
2x + b = 0
Solve for b
b = -2x
The minimum is (2, 0).
So, we have:
b = -2 * 2
b = -4
Substitute b = -4 in f(x) = x^2 + bx + c
f(x) = x^2 - 4x + c
Substitute (2, 0)
0 = (2)^2 - 4(2) + c
This gives
0 = 4 - 8 + c
Evaluate
c = 4
Hence, the values of b and c are -4 and 4 respectively
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Answer: 6/8 or simplified 3/4
Step-by-step explanation:
Answer: Down 2, right 3
Step-by-step explanation: