[x-1]=5x+10
We have two equations:
1) x-1=5x+10
x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4
2) x-1=-(5x+10)
x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2
we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2
we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.
2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.
Therefore:
Answer: x=-3/2.
Answer:
Each bag will get 5 candy canes and 3 cookies.
Step-by-step explanation:
Find the divisors of both numbers
75 = 1,75 : 3,25 : 5,15 : 15,5 : 25,3 : 75,1
45 = 1,45 : 3,15 : 5,9 : 9,5 : 15,3 : 45,1
Since the largest common divisor is 15, we want to use 15.
Each bag will get 5 candy canes and 3 cookies.
Answer:
v=2
Step-by-step explanation:
-9v-9=-27
add nine to both sides
-9v-9+9=-27+9
simplify
-9v=-18
divide both sides by -9
-9v/-9 -18/-9
simplify y=2
hope this helps :) have a nice day !!
Answer:
They should walk on a bearing of 59.4 degrees
Step-by-step explanation:
Given


Required
The bearing back to the base
The given question is illustrated with the attached image.
To do this, we simply calculate the measure of angle a using:



Take arctan of both sides


I can’t solve all of them but maybe one and I will give you the formula for you to solve the rest.
Slope = (y2 -y1) / (x2 -x1).
m= ( 16 -(-3)) / ( -14 -(-9))
m = (16+3)/(-14+9)
m = 19/ -5