9514 1404 393
Answer:
(2, 3), (-3, 2), (-2, -3), (3, -2)
Step-by-step explanation:
You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...
(x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW
That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.
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One possible square is ...
(2, 3), (-3, 2), (-2, -3), (3, -2)
Answer:
B.) 66%
Step-by-step explanation:
Answer:
The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.
Step-by-step explanation:
We are looking for a function that has the following points:
B(0) = 1500
B(4) = 1200
B(7) = 975
Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:
B(t) = -75*t + 1500
To check if this expression is valid, we will apply the values provided on the problem:
B(0) = -75*0 + 1500 = 1500 (valid)
B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)
B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)
When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:
B(t) = -75*t + 1500 = 0
-75*t + 1500 = 0
75*t = 1500
t = 1500 / 75 = 20 months
It'll take her 20 months to pay the loan.
We know the perimeter formula would be 1200=2x+2y. And the area will be A=x*y
We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.
1200-2x=2y
600-x=y
A=(x)*(600-x)
A=600x-x^2
Now we take the derivative:
A'=600-2x (set equal to 0 and solve)
0=600-2x
2x=600
x=300
Then when we plug this into the perimeter formula, we can solve for y
1200=2x+2y
1200=2(300)+2y
1200=600+2y
600=2y
y=300
So both the length and width are 300 yards, and the area would be 90,000 square yards
Hope this helps
Answer:The dependent variable is g
Step-by-step explanation:
Dependent/Independent
X/Y
y=Mx+B
