Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
And an odd function has the following property:
So, let's test some values for cos(x).
Let's use π/3:
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
I think you can google this
The answer is 5,12,13 as when you plug these into the Pythagorean theorem :
5^2 + 12^2 = 13^2
25 + 144 = 169
13^2 = 169
Hope this helps :)
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept of the line. I will calculate the slope using the points (0, 3) and (1,6)
Slope = 
= 
= 3
The y-intercept, based on the graph, is 3. Thus, the equation is: y = 3x + 3.
The value of x is 5. Thus, the correct statement is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
<h3>Data obtained from the question </h3>
- Log₂ (x + 11) = 4
- Value of x =?
<h3>How to determine the value of x </h3>
Log₂ (x + 11) = 4
x + 11 = 2⁴
x + 11 = 16
Collect like terms
x = 16 – 11
x = 5
<h3>**Check** </h3>
Log₂ (x + 11) = 4
x = 5
Log₂ (5 + 11) = 4
Log₂ 16 = 4
Find the value of Log₂ 16
Log₂ 16 = n
16 = 2ⁿ
2⁴ = 2ⁿ
n = 4
Thus,
Log₂ 16 = 4
Therefore, the correct answer to the question is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
Complete question
Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2
Learn more about Logarithm equation:
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