Answer:
d) 1
Step-by-step explanation:
3a = –2b – 7
We have the point (a, -5) so b = -5
Substituting in
3a = -2(-5) -7
3a = 10-7
3a = 3
Divide each side by 3
3a/3 = 3/3
a =1
Step-by-step explanation:
Draw the triangle formed by the ray.
The hypotenuse of the triangle is:
c² = a² + b²
c² = (-5)² + (2√7)²
c² = 25 + 28
c = √53
Therefore:
cos β = -5 / √53
Or, as a proper fraction:
cos β = -5√53 / 53
In this problem, you have to find the total profit the company made in the three quarters which makes up 3/4 of the whole. In the second quarter, the profit is 4 million. Let x be the profit in the first quarter. Following the description,
4 = (1+1/3)x
x = 3 million
Thus, the second quarter made 5.33 million profit.
For the third quarter, let's assign it to the y variable. Following the description,
4 = (4/5)(y)
y = 5 million
Thus, the total profit is 4 + 3 + 5 = 12 million
Start with 1/5x – 2/3y = 30. Let y = 15: (<span>1/5)x – (2/3)(15) = 30
Then (1/5)x - 10 = 30, and (1/5)x = 40, and so x = 200 (answer)</span>
