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Maslowich
3 years ago
12

Trig help ..........

Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0
Letter D

1-sin^2(x) = cos^2(x)

= sin^2(x)/cos^2(x)
= tan^2(x)

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How can you write the equation for a linear function if you know only two ordered pairs for the function?
Vinvika [58]
1. m
2. One set of ordered pairs
3. b

To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).

First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.

This is why #1 is m. M is the letter used when finding slope.

To find m, I plug in the two sets of ordered pairs.

m = (8-0)/(5-1)
m = 8/4
m = 2

An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.

Here, you have just solved for m and know it equals 2. Plug that value in for m.

y = 2x + b

To solve for b, plug one ordered pair in for x and y. I will use (1,0)

0 = 2(1) + b
0 = 2 + b
-2 = b

Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
4 0
3 years ago
Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2
Savatey [412]
\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}
7 0
3 years ago
NAME: A
Lelu [443]

Answer:

4/5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
a carpet store charges 150 to install 12 square yards of carpet how much would it be for 24 square yards
ivanzaharov [21]

Answer:

$300

Step-by-step explanation:

  1. 150/12 to figure out how much to install one yard ($12.50)
  2. 24•12.50=300
4 0
3 years ago
The time is 7:35am what is the time in the24 hour clock
elixir [45]
7:35am in the 24 hour clock would still be 7:35am but if its 7:35pm we'll add 12 to the 7 which would then be 19:35
7 0
3 years ago
Read 2 more answers
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