Answer:
Line Segment EF passes through the center of the dilatation
Step-by-step explanation:
I just know...
First, I would simplify the given equation to find the slope of the parallel line as it will be the same for the line we are looking for.
3y=x+12
y=(x/3)+4
Slope= 1/3
Our equation now looks close, but we need the intercept.
y=(x/3)+B
Plug in the given point to find the intercept.
3=(-1/3)+B
4/3=B
Plug all the known values into the equation to complete the slope-intercept form.
y=(x/3)+4/3
Answer:
x=-1/2
Step-by-step explanation:
-6x+4=7
-6x=7-4
-6x=3
x=3/-6
x=-1/2
Answer:
39364
Step-by-step explanation:
You can simplify the equation to make 4(1+3+9...) The nth term is therefore
so u can substitute that into the equation so 4(
..). This would simplify to 4(
+
). By simplifying this, you can make it so 4(
) = 4(4+36+324+2916+6561) =39364
Solution
The counselor has 12 electives courses (e.g. art, band, PE, etc.) to choose from and must select 2 ordered classes for each 6th grade student.
Let S be the sample space.
Then, n(S) = 12C2 = (12 x 11) ÷ (2 x 1 ) = 132 ÷ 2 = 66

Sixty six (66) ways can the counselor arrange the last 2 periods of the day for the 6th grade students