Sqrt(486) - sqrt(24) + sqrt(6)
find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)
Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)
Finally, add all 3 terms together
9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)
8 times square root of 6 is the final answer
It’s c sorry if i’m wrong!
The general rule for rotation of an object 90 degrees is (x, y) --------> (-y, x). You can use this rule to rotate a pre-image by taking the points of each vertex, translating them according to the rule, and drawing the image
Answer:
y = 2x - 1
Step-by-step explanation:
Slope
for every increase of 3 in x
there's an increase of 6 in y
m = rise/run
m = 6/3
m = 2
----------------------------
Slope intercept form is
y = mx + b
To find "b" plug in m = 2 and any of the given points
using (1, 1)
1 = 2(1) + b
1 = 2 + b
b = -1
The equation is
y = 2x - 1