Hey there!
-11b + 7 = 40
- SUBTRACT by 7 on each of your sides.
-11b + 7 - 7 = 40 - 7
Cancel out: 7 - 7 because that gives you 0
Keep: 40 - 7 because it helps us solve for our answer
40 - 7 = 33
11b/-11 = 33/-11
Cancel out: -11b/-11 because it equals 1
Keep: 33/-11 because it gives you -3
33/-11 = 33 ÷ -11 = 3
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Answer:
30:1
Step-by-step explanation:
90:3
90÷3=30
3÷3=1
=30:1
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!