Ther probability that any number is rolled 3 times out of 4 is given by :
C(4,3)* (1/6)^3 *(5/6) = 5/324 ≈ 1.54%
You can map △ABC onto △A′B′C′ by reflecting it over the x-axis and translating it 7 units right, which is a sequence of rigid motions.
"D" is the correct choice
Let (a, b) be one point
Reflecting across y = x produces (b , a)
Translating one unit up = ( b , a + 1 )
x coordinate = [ 5 - - 2] (7/10) + -2 = [7](7/10) + -2 = 49/10 - 2 = 29/10
y coordinate = [ 10 - 4 ] (7/10) + 4 = [ 6](7/10) + 4 = 42/10 + 4 = 82/10
So.....the point is (29/10, 82,/10) = (2.9, 8.2)
log 2^a 2^b
This says that
[2^a]^n = 2^b
2^(a*n) = 2^b equating exponents, we have
a * n = b divide both sides by
n = b / a
Nice, hectictar!!!!!....I like this one ....
We can use synthetic division for the first one
2 [ 4 -5 3 - 1 ]
8 6 18
______________
4 3 9 17
3x = 15
log3 15 = x
-3-2(2x-1)=-3(2x-5)-10 simplify
-3 - 4x + 2 = -6x + 15 - 10
-4x - 1 = -6x + 5 add 1, 6x to both sides
2x = 6 divide both sides by 2
x = 6 / 2 =
3
Rotate 180° about the origin
Translate 2 units to the right
(1, -3) is on this graph
The inverse reverses the coordinates
So....the point (-3, 1) is on the inverse
