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3 years ago

Triangle LMN, shown below, is a right triangle.

Mathematics

1 answer:

bearhunter [10]3 years ago

3 0

9514 1404 393

Answer:

D cos(N)

Step-by-step explanation:

In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.

Sin = Opposite/Hypotenuse

sin(L) = NM/NL

and

Cos = Adjacent/Hypotenuse

cos(N) = NM/NL = sin(L)

The equivalent of sin(L) is cos(N).

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Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f

sergeinik [125]

$f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}$

$f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}$

Stamement 2. f(-2)=f(2) is true.

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3 years ago

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ivann1987 [24]

Answer:

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Step-by-step explanation:

Unit price is the cost of a single metre of ribbon

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Y = x^2 - 6x + 7
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Before you get the A.O.S, you must first solve for the vertex.
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Plug in the numbers:
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--6 = 6 and 2*1 = 2
6/2
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Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
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