Tan^2 x - Tan^ x sin^2 x
= tan^2x ( 1 - sin^2 x)
= tan^2 x * cos^x
= sin^2 x * cos^2 x
----------------------
cos^2 x
= sin^2 x
Answer:
14
Step-by-step explanation:
Jack drove 278.2 miles on 19.6 gallons of gasoline. then
278.2 miles - 19.6 gallons
x miles - 1 gallon
Write a proportion:

Cross multiply:

Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
9514 1404 393
Answer:
- f(-2) = 4
- f(1) = -5
- D: [-3, ∞)
- R: [-5, 11]
Step-by-step explanation:
You have marked the points on the graph corresponding to ...
f(-2) = 4
f(1) = -5
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The domain is the horizontal extent, from x = -3 to +∞.
The range is the vertical extent, from y = -5 to +11 (inclusive).
Answer:
The number that belongs <em>in</em> the green box is equal to 909.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[<em>Right Triangles Only</em>] Pythagorean Theorem:

- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 30
<em>b</em> = 3
<em>c</em> = <em>x</em>
<em />
<u>Step 2: Find </u><u><em>x</em></u>
Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:
- [Pythagorean Theorem] Square root both sides [Equality Property]:

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:
- [Equation] <em>Substitute</em> in variables:

- <em>Evaluate</em>:

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.
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Learn more about Trigonometry: brainly.com/question/27707750
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Topic: Trigonometry