Two lines that are parallel have the same slope. Thus, the slope of the given line is 2 and the slope of the new line is also 2.
General slope-intercept equation of a str. line is y = mx + b.
Let m = 2: y = 2x + b
This new line passes thru (3,11). Thus, subst. 3 for x and 11 for y in
y = 2x + b, to find b:
11 = 2(3)+b
11 = 6 + b so b=5
Thus, the equation of the new line, parallel to the old, is y = 2x + 5.
Answer:
14y +6
Step-by-step explanation:
8y + 6 + 6y
Combine like terms
8y+6y +6
14y +6
Answer:
Option B is correct that is the amount she is getting per bottle is $0.15
Step-by-step explanation:
We have been given the information that Melisande collected 14 bottles on Saturday and 9 bottles on Sunday
That means she has collected a total of 23 bottles
Let us assume that the amount she is paid for recycling is $b
Since she is left with $3.20 after the amount she gets for bottles we will get the equation below:
23b=3.20
Now, since she has to pay a one-time service fee equation will become
23b -0.25 =3.20
After simplification, we will get
23b=3.20+0.25=3.45
b=3.45/23=.15
b=$0.15
Therefore, The amount she is getting per bottle is $0.15
HOPE THIS HELPS :)
Answer:
70 degrees
Step-by-step explanation:
If you have a calculator you first change the mode to degrees then do shift/2nd cos to get cos^-1 then enter it like this: cos^-1(342/1000)
and you will get your answer 70 degrees
Answer:
x+3, y-4
Step-by-step explanation:
You are moving the triangle 3 to the right, so x+3, an 4 down, so y-4.