Answer:
The GCF (12, 78) is 6 and GCF (18, 176) is 2.
Step-by-step explanation:
Step 1:
The greatest common factor of the number is defined as the factor of two or more numbers. The acronym of Greatest common factor is GCF.
(a)
GCF (12, 78)
The greatest common factor of the two numbers 12 and 78 is calculated by Euclid’s algorithm as follows:
Therefore, the greatest common factor GCF is 6.
Step 2:
(b)
GCF (18, 176)
The greatest common factor of the two numbers 18 and 176 is calculated by Euclid’s algorithm as follows:
Therefore, the greatest common factor GCF is 2.
The zeros are -8, -1, 2, so you can write the function as f(x)=(x-(-8))(x-(-1))(x-2)=(x+8)(x+1)(x-2).
Expand:
The function is f(x)=x³+7x²-10x-16.
The missing value is 7.
Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
<h3>Pythagorean relation</h3>
The relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
<h3>Application</h3>
For the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
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<em>Additional comment</em>
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.
Answer:
1/2
Step-by-step explanation: