What’s the whole question?
Mike has 4 times as many stamps as Andrew
Let Mike = M and Andrew = A, eq.1 will be M = 4A
However, if Mike gives Andrew 8 stamps, then the number of stamps Mike has is now twice the number of stamps Andrew has. This will give us another equation.
eq. 2 will be M-8 = 2 (A+8)
The expression on the left tells us that Mike gave away eight stamps, while the expression on the right tells us that whatever this new number is is equal to twice the total number of Andrew's stamps after receiving eight from Mike.
Simplifying this further gives us:
M-8 = 2A + 16
M = 2A + 16 + 8 = 2A + 24
Use 2A + 24 and substitute this for M in eq. 1. This gives us:
2A + 24 = 4A
24 = 4A - 2A
24 = 2A
12 = A, and therefore M = 48 (because M=4A)
To begin with, Andrew had 12 stamps and Mike had 48 stamps.
If only M-8 = 2A is used, this will only meet the condition given in situation 1 (M=4A) but not situation 2, wherein after giving away 8 stamps, Mike's stamps is twice as many as Andrew's. You can check it. :)
Answer:
Trapezoid
Step-by-step explanation:
A triangle can be thought of as a trapezoid with one of the side length being 0.
Answer: D
Step-by-step explanation:
It passes through the points and is horizontal
Answer:
y = 2 - ( x - 1)²/9
Step-by-step explanation: See Annex
As the parameter t increases, the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.
b) to eliminate the parameter:
x = 1 + 3*t (1) y = 2 - t² (2)
Then from equation (1) t = ( x - 1 ) / 3
plugging that value in equation (2)
y = 2 - [ ( x - 1 ) / 3 ]²
y = 2 - ( x² + 1 - 2*x)/9
9*y = 18 - x² + 1 - 2*x or y = 2 - ( x - 1)²/9
The curve is a parabol
