Answer:
The correct options are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
Step-by-step explanation:
Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
STEP
1
:
Equation at the end of step 1
((49 • (x2)) + 12xy) + 26y2
STEP
2
:
Equation at the end of step
2
:
(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial
3.1 Factoring 49x2 + 12xy + 64y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
49x2 + 12xy + 64y2
The quotient of 3,419 and 11 is 310.81.
<h3>How to illustrate the information?</h3>
It should be noted that from the information given, we are to find the quotient of 3,419 and 11 determined using an area model.
It should be noted that this simply means the division of the values given. This will be:
= 3419/11
= 310.81
Therefore, the quotient of 3,419 and 11 is 310.81.
Learn more about quotient on:
brainly.com/question/11916238
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Answer:
1 : 36
Step-by-step explanation:
To obtain the scale factor, the dimensions must be in the same units.
Using the conversion
1 foot = 12 inches, then
15 feet = 15 × 12 = 180 inches, thus
scale factor = 5 : 180 ← divide both parts by 5
scale factor = 1 : 36
Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
