Step-by-step explanation:
Using the properties of logarithms, the left side of the equation becomes

while the right hand side becomes

so we end up with

Answer:
Each time you draw, there is a 57.143% chance it will be blue, and a 42.857% chance it will be red.
Answer:
see explanations
Step-by-step explanation:
The given blue line has a slope of m = -1/2.
The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:
(y-y0)=m(x-x0)
substitute values
(y-3) = (-1/2)(x-2)
Expand and transpose
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4 ....................(1)
We choose the second equation b. x+2y=8 and convert to slope-intercept form:
2y=-x+8
y = (-1/2)x + 4, which is exactly equation (1)
So
b. x+2y=8 is the correct answer.
Answer:
Javier has 27, Tommy has 16
Step-by-step explanation:
43-11=32
32/2=16
16+11=27
Check: 27+16=43