Option B: 4.0 cm is the value of w
Explanation:
It is given that 
, 
, 
and 
Using the law of sines, we have,
Substituting the values, we have,
Cross multiplying, we get,
Simplifying, we have,
Dividing both sides by 0.515, we have,
Thus, the value of w is 4.0 cm
Hence, Option B is the correct answer.
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Answer:
B: -2
Step-by-step explanation:
Find the slope by counting how many times it would take to reach a point. For example, (0,1). Or use you could use the slope formula by finding two coordinates
Answer:
Step-by-step explanation:
Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.
To further factor the expression break the polynomial into two binomials.
To factor into two binomials, find factors that multiply to -5 and add to -4.
-5 and 1 are factors and these make the binomials 
.
The final factorization is
