Answer:
B
Step-by-step explanation:
First label the equations.
6x +3y= 18 -----(1)
y= -2x +5 -----(2)
subst. (2) into (1):
6x +3(-2x +5)= 18
6x +3(-2x) +3(5)= 18 (expand)
6x -6x +15= 18
15= 18 (simplify)
(reject)
There is no solution.
<u>Further explanation</u><u>:</u>
If I rewrite the first equation into the form of y=mx+c, I would get
6x +3y=18
3y= 18 -6x (bring y term to one side)
y= 6- 2x (÷3 throughout)
y= -2x +6
Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.
The next step in the equation is the quotient
Step-by-step explanation:
Given that,
Directrix, d= -5, and eccentricity, e = 2.
The polar equation of the conic is given by :
Put all the values,
As e>1, it is a hyperbola. Hence, this is the required solution.
In 10 minutes, Tom eats (5 cookies/minute)×(10 minutes) = 50 cookies.
Andy must eat the remaining cookies:
... 80 cookies - 50 cookies = 30 cookies.
_____
The answer to the question asked is
Andy must eat 30 cookies.
The answer to the question not asked is
Andy eats those cookies at the rate
... (30 cookies)/(10 minutes) = 3 cookies/minute
