Answer: 1st option
Step-by-step explanation:
I've attached the solution
Answer:
The coordinates of his position is (-6,-8).
Step-by-step explanation:
Consider the provided information.
Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis points due East.
North represents the positive y axis, then south will represents the negative y axis.
It is given that the east represents the positive x axis then west represents the negative x axis.
Sasquatch-o-meter tells us that Sasquatch is 6 miles West and 8 miles South of our current position.
6 miles west represents a x=-6 and also 8 miles south represents y=-8
Thus, the coordinates of his position is (-6,-8).
Answer:
Number of quarters → 15
Number of dimes → 2
Step-by-step explanation:
Let the number of dimes I have = y
And number of quarters = x
Since, I have amount in my pocket = $2
Therefore, 0.10y + 0.25x = 2
100(0.10y + 0.25x) = 100×2
25x + 10y = 200
5x + 2y = 40
2y = -5x + 40
y = -2.5x + 20 ---------(1)
Total number of coins in my pocket = 17
x + y = 17
y = -x + 17 ---------(2)
By using a graphing calculator we can graph these two lines (As attached)
Solution of the given system of equations will be the point of intersection of these lines.
Solution → (2, 15)
Number of quarters → 15
Number of dimes → 2
First simplify the square roots:

Then simplify the last two terms:

Since 61 is prime, you can't take a rational root out of it.
To check if a relation is a function, given a mapping diagram of the relation, use the following criterion: If each input has only one line connected to it, then the outputs are a function of the inputs.