4^x + 6^x = 9^x
4^x + 6^x - 9^x = 0
2^2x + (2×3)^x - 3^2x = 0
2^2x + 2^x×3^x - 3^2x = 0
(⅔)^2x + (⅔)^x - 1 = 0
let t = ( ⅔)^x
t² + t - 1 = 0
t = (-1+√5 ) / 2
(⅔)^x = (-1+√5 ) / 2
x = Log base ⅔ ((-1+√5 ) / 2 )
x = 1.18681
Answer:
(1/2, -1)
Step-by-step explanation:
The midpoint is the average of the end points:
M = (R + S)/2 = ((4, -7) + (-3, 5))/2 = ((4-3)/2, (-7+5)/2) = (1/2, -2/2)
M = (1/2, -1)
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
Answer:
Total played games = 75
Total won = 55
Total lose = 75 - 55
= 20
℅ of the games they lose = (20/75) x 100
= 400/15
= 80/3
= 26.66(27 approx)
℅ of game they lose = 27
Step-by-step explanation:
pls brain list
Answer:
3: x=-1
4: x=4
5: 0=0 infinite solutions
6: x=-3
