Answer:
10.6
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin 62 = x/12
Multiply each side by 12
12 sin 62 =x
10.59537111 =x
Rounding to the nearest tenth
10.6 =x
Answer:
m² + 8m + 7 = (m + 1) (m + 7)
m² – 6m + 8 = (m – 2) (m – 4)
Step-by-step explanation:
If a trinomial ax² + bx + c is "factorable", you can use the AC method.
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide the factors by a and reduce.
4. The numerators are the constants, the denominators are the coefficients.
For example:
m² + 8m + 7
a = 1, b = 8, c = 7
1. ac = 1×7 = 7
2. Factors of 7 that add up to 8 are 1 and 7.
3. Divide by 1: 1/1 and 7/1
4. The factors are (m + 1) and (m + 7).
Therefore, m² + 8m + 7 = (m + 1) (m + 7).
Let's try one with a negative coefficient:
m² – 6m + 8
a = 1, b = -6, c = 8
1. ac = 1×8 = 8
2. Factors of 8 that add up to -6 are -2 and -4.
3. Divide by 1: -2/1 and -4/1
4. The factors are (m – 2) and (m – 4)
Therefore, m² – 6m + 8 = (m – 2) (m – 4).
You can check your answers by distributing.
Answer:
(c) Add 3 to 9
Step-by-step explanation:
The order of operations tells you that quantities in parentheses are evaluated first.
Here, that means the first step is finding the sum 3+9.
Answer:
B
Step-by-step explanation:
Step-by-step explanation:
Step 1:
(3x + 12y) + (10x - 5y)
<em>{Distributive property A(B+C)=AB+AC}</em>
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Step 2:
(3x + 12y) + (-5y + 10x)
<em>{Commutative property A+B = B+A}</em>
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Step 3:
3x + (12y - 5y) + 10x
<em>{Associative property A+(B+C)=(A+B)+C}</em>
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Step 4:
3x + 10x + (12y - 5y)
<em>{Commutative property A+B = B+A}</em>
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Step 5:
13x + 7y
<em>{Simplification}</em>
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