why is it important to learn, in algebra, the proper order in which to read algebraic expressions and solve algebraic equations?
2 answers:
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You know from similar triangles that ...
KM/KO = LM/LN
(20 +x)/12 = x/8
Multiplying by 24, we get
2(20 +x) = 3x
40 +2x = 3x
Subtracting 2x, we get
40 = x . . . . . . . . . . the measure of LM
The Pythagorean theorem tells us
(LN)² +(NM)² = (LM)²
Substituting known values, this becomes
8² +(NM)² = 40²
(NM)² = 40² -8² = 1600 -64 = 1536
Then the measure of NM is ...
NM = √1536 ≈ 39.19
KM/KO = LM/LN
(20 +x)/12 = x/8
Multiplying by 24, we get
2(20 +x) = 3x
40 +2x = 3x
Subtracting 2x, we get
40 = x . . . . . . . . . . the measure of LM
The Pythagorean theorem tells us
(LN)² +(NM)² = (LM)²
Substituting known values, this becomes
8² +(NM)² = 40²
(NM)² = 40² -8² = 1600 -64 = 1536
Then the measure of NM is ...
NM = √1536 ≈ 39.19
Answer:
A: Function <em>f</em>.
Step-by-step explanation:
Let's find the maximum <em>y-</em>value of each function.
Function <em>f </em>is given by:
Remember that the value of cosine is always between -1 and 1. In other words:
Then assuming the greatest value for cosine, we can substitute it for one:
Function <em>g</em> is given by the graph.
Looking at the graph, we can see that the maximum <em>y-</em>value of <em>g</em> is 3.
Finally, function <em>h</em> is given by the table.
Looking at the table, the maximum <em>y-</em>value of <em>h</em> is -2.
Therefore, function <em>f</em> has the greatest maximum <em>y-</em>value.