The third one, 2 to the power of 5 over 6
√2 * 3√2
convert from radical form to exponent form to solve for the same root
( x^m/n = n√x^m )
2^(1/2) * 2^(1/3)
2^{3/6} * 2^{2/6} - find common denominator (6)
6√(2^3) * 6√(2^2) - convert back to radical form
6√(2^3 * 2^2)- combine
6<span>√(</span>2^5)
then convert to exponential form again
~ 2^5/6 ~
Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
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The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
Use the general form:-
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre and r = radius
Here the radius = 1/2 * 6 = 3 so r^2 = 9 and we have the equation:-
(x + 4)^2 + (y - 2)^2 = 9 (answer)
Answer: It would be D
Step-by-step explanation:
4-7 equals -3
-1-4 equals -5
Cancel out the negatives which makes a positive
Answer:
357 * .143 = 51.051 milliliters or
51 milliliters (rounded)
Step-by-step explanation:
