10) (9,-3); m=2
(a) y=2x-11
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21.
FINAL ANSWER::y=2x-21
(b) y=2x-21
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21
FINAL ANSWER::y=2x-21
Or equivalent to the original.
Hope this helps you solve the rest. ;)
B. 10.20 trust me it’s correct I did the math it’s too much to put here
Hello there!
The question asks if the events are independent or dependent.
Well, let's establish what an independent and dependent event is.
An independent event is an occurrence in which two or more events do not have effect on each other, regardless what happens during each scenario.
An independent event would be (for example) "I flipped a coin and rolled a dice." Both of these are independent events, as they do not have any effect on eachother.
A dependent event is an occurrence in which two or more events have effects on eachother. For example "I pull a red card out of a deck of cards. I then pull a black card out of the same deck."
The question you have is:
LeRon draws an orange counter from one bag and a red counter from another bag. Are the events dependent or independent?
Since that LeRon draws two different counters from two separate bags, the events do not effect each other, thus making the events independent.
I hope this helps!
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of that line. Basically, the slopes of two perpendicular lines multiply to -1. The slope of this line is -1/5. To find the slope of a line perpendicular, we need to find out what number, multiplied by -1/5, would make -1. Or, we can take the opposite reciprocal (it's the same answer). This number is 5, so the slope of a line perpendicular to this line is 5.
Length x width = area
width=x
length=2x
2x*x=50
2x^2=50
x^2=25
x=5
width=5
length=2x5=10
