Answer:
x = imaginary number
x₁ = 2<em>i</em>
x₂ = 6<em>i</em>
Step-by-step explanation:
x/(x - 5) =4/(x - 4)
x(x-4) = 4(x-5)
x*x + x*-4 = 4*x * 4*-5
x² -4x = 4x - 20
x² -4x - 4x + 20 = 0
x² - 8x + 20 = 0
x = {-(-8)±√((-8²)-(4*1*20))} / (2*1)
x = {8±√(64-80)} / 2
x = {8±√-16} / 2
√(-16) ∈<em> i</em>
<em>i </em>= set of imaginary numbers
√-16 = -4<em>i</em>
then:
x = {8±(-4<em>i</em>) } / 2
x₁ = {8+(-4i)}/2 = {8-4i)/2 = 4i/2 = 2i
x₂ = {8-(-4)}/2 = {8+4i}/2 = 12i/2 = 6i
Answer: √32
Step-by-step explanation: so the displacement is north 4 and west 4 and it becomes a right triangle so the hypotenuse is the distance for segment AB
So Drawn out should like straight lines up,down,left,and right. So east is positive while west is negative same for North(+) and South(-)
I recommend sticking with 2 directions first. Starting with north and south right. First you go south 1 mile but then you go north 5miles in math terms
-1+5=4 or down one is one less than 5
Same for east and west. 3+-7 = -4
So we went positive 4 miles up and 4miles to the left
So (-4)^2+4^2= hypotenuse or AB segment in this case
Yes it is. In order for something to be a function, no X values can be the same, which is the case here.
answer is x is less than or equal to -13
hope this helps:-)
So you’re increasing 61,535 by 9%
- 100 + 9 = 109
- change that into a decimal (109 ÷ 100 = 1.09)
- we now multiply that with the original rate
- 61,535 x 1.09
- the answer should be $67,073
Let me know if I’m wrong !