Answer:
1. y= 3x+7
2.y=1/2 x -1
Step-by-step explanation:
1.
Parallel lines have the same gradient.In the equation given,
y= 3x+5 , the slope is 3
So now, you find the equation of a line passing through point (-1,4) with m=3
m=Δ y/Δx
3= y-4/ x--1
3= y-4 /x+1
3(x+1) = y-4
3x+3 =y-4
3x+3+4=y
⇒⇒ y= 3x+7 is the equation.
2.
Two lines that are perpendicular to each other have the product of their slopes to be -1
Given equation to be y= -2x +8 then, m₁ = -2
Finding m₂ will be;
m₁ *m₂ = -1
-2 * m₂ = -1
-2 m₂ = -1
m₂ = -1/-2 = 1/2
So writing the equation of the perpendicular line with m₂ =1/2 , point (-4,-3)
will be;
m=Δy/Δx
1/2=y--3/x--4
1/2 = y+3/x+4
x+4 = 2( y+3)
x+4 = 2(y+3)
x+4 =2y+6
x+4-6=2y
x-2=2y
x/2 -2/2=y
y=1/2 x -1 is the equation.
Answer:
Step-by-step explanation:
When one variable depends on another variable according to a rule it is known as function:
For example if you want an output of 2 and the input value is 4. Then you will subtract 4 from x
We have to find x f(x).
x f(x) =?
f(x) = x-4
Now input value is: x= 3
x f(x)
3 (x-4)
3 (3-4)
3 -1
Now x= 4
x f(x)
4 (x-4)
4 (4-4)
4 0
Now x=5
x f(x)
5 (x-4)
5 (5-4)
5 1
Now x=6
x f(x)
6 (x-4)
6 (6-4)
6 2 ....
Let's make a table of the days, and the number of mails sent each day:
Day nr of mails sent
Monday 9
Tuesday ?
Wednesday 13
Thursday 15
Friday 17
In the last 3 days, the number of mails increased each day by 2, so we could make the assumption that on Tuesday, there were 2 mails less sent than on Wednesday.
So, on Tuesday, we assume that 13-2=11 mails were sent.
We check this assumption with the number of mails sent on Monday, and it works again. So, our assumption is correct.
Answer: 11
Answer:
1 book and 7 tenths of another book
Step-by-step explanation:
Answer:
Violating Brainly policies
Step-by-step explanation:
I guess u R violating brainly policies by asking questions in the middle of a test
"Hi Iqra, when you submit this form, the owner will be able to see your name and email address."
anyways