The value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected is 2bc
<h3>Factoring expressions</h3>
Given the expression below;
( ax+ by ) ( cx + dy)
Expand to have:
<u>( ax+ by ) ( cx + dy) =</u> acx² + adxy + bcxy + bdy²
If ad=bc, the expression becomes;
( ax+ by ) ( cx + dy) = acx² + 2bcxy + bdy²
Substitute the value of ac and bd to have;
( ax+ by ) ( cx + dy)= 18x² + 2bcxy + 50y²
Hence the value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected is 2bc
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Answer:
Colt
Step-by-step explanation:
Solve for x in both cases. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction.
Jose:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 3.5 to both sides:
5x - 3.5 = 12.5
5x - 3.5 (+3.5) = 12.5 (+3.5)
5x = 16
Next, divide 5 from both sides:
(5x)/5 = (16)/5
x = 16/5
x = 3.2
Colt:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3 from both sides:
(x/5) + 3 (-3) = 12 (-3)
x/5 = 12 - 3
x/5 = 9
Next, multiply 5 to both sides:
(x/5)(5) = (9)(5)
x = 9 * 5
x = 45
Colt has the larger solution.
~
Answer:
1. 28
2. 26
3. 29
4. 18
5. 32
6. 14
7. 3
8. left
Step-by-step explanation:
Answer:
x = 13.
Step-by-step explanation:
The triangles are similar so the corresponding angles are equal.
Hence
8x + 16 = 120
8x = 120 - 16
8x = 104
x = 104 / 8
x = 13.