Answer: 21 x 10
If you multiply that your answer will be 210
Answer:
i
(or no solution if you haven't learned about imaginary numbers yet)
Step-by-step explanation:
The first thing you want to do is isolate x, or get x alone.
7x²+46=32
=> 7x²+46-46=32-46
=>7x²=-14
=>7x²÷7=-14÷7
=>x²=-2
If you have learned about imaginary numbers read on. If not, you have to realize that squaring any number can't result in a negative number. This means that there is no solution.
If you have learned about imaginary numbers, read on.
Now that you have x^2=-2, you can take the square root of both sides.
x=
Using a property about square roots (I don't know what it's called)
the equation becomes:
x=
And since
=i, you can substitute in this value in to get x=i
.
Required Perimeter = AB + BC + CA
AB = sqrt((5 - (-1))^2 + (-1 - 1)^2) = sqrt(6^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 6.3
BC = sqrt((-1 - 0)^2 + (1 - (-3))^2) = sqrt((-1)^2 + 4^2) = sqrt(1 + 16) = sqrt(17) = 4.1
CA = sqrt((0 - 5)^2 + (-3 - (-1))^2) = sqrt((-5)^2 + (-2)^2) = sqrt(25 + 4) = sqrt(29) = 5.4
Perimeter = 6.3 + 4.1 + 5.4 = 15.8 units
It's decreasing by 5 1/2 each time, so:
<u><em>24 1/2, or 24.5</em></u>