We are given statement " gained 20 pounds and loses 15 pounds".
<em>Note: We take plus or positive sign for gain word and we take minus or negative sign for the loses word.</em>
Gained 20 means +20.
Loses 15 mean -15.
Therefore, we can setup an expression as:
<h3>+20 -15.</h3>
20 is a positive number and 15 is a negative number.
Because we have opposite signs of numbers, we would subtract them.
20-15 = 5 pounds.
First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Step-by-step explanation:
You know that the first equation is:
And the second equation is:
According to the Addition property of equality:
If 
; then 
Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:
Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.
If you want to verify this, you can solve for "x" from both equations:
- First equation:
- Second equation:
The answer is B. (2x + 5)(x + 1)You could answer this by expanding each answer until you found one that matched 2x^2 + 7x + 5, but I will only show how the answer expands:
2x × x = 2x^2
5 × x = 5x
2x × 1 = 2x
5 × 1 = 5
So in total those brackets expand to 2x^2 + 7x + 5. I hope this helps!
Answer:
$300
Step-by-step explanation:
1500 • 20%
1500 • 20/100
15 • 20
300
Hope this helps, good luck! :)
