The easiest way to solve this problem is to put (2, -5) into both equations and see if it satisfies/works for both of them. 2 = x and -5 = y.
So for <span>2x + 5y = -19,
</span><span>2(2) + 5(-5) = -19
4 - 25 = -19
-21 </span><span>≠ -19.
You can continue and try it out for </span><span>6y - 8x = -54
6(-5) - 8(2) = -54
-30 - 16 = -54
-46</span> ≠ -54
But since (2, -5) already doesn't work for one equation, it cannot be a solution to the system of equations.
These questions are no problem, so long as you remember the rules for rotations. A point that is rotated 90 counterclockwise is simply x and y flipped, and negating the y.
For example, 2,9 becomes -9, 2.
So point A would be -1, 1, B would be -2, 1. So on and so forth.
Step-by-step explanation:
since both cords are equal, so are arc length
4x + 18 = 7x - 51
3x - 21 = 0
x = 7
arc RS = 4(7) + 18
Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
substitute in the formula above
Solve for x
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000