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:
A) 7 + 4(n - 1)
Step-by-step explanation:
The explicit rule follows the form, Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference between the numbers
It says that the first term is 7, so 'a' is 7. It also says that the numbers go up by 4 (adding 4 to the previous number), hence 'd' is 4.
Sub these values into the equation:
Tn = 7 + (n - 1)*(4)
Same as: 7 + 4(n - 1)
Answer:
dthchjfghdfhdfhdfffjgfgdfghdfhgStep-by-step explanation:
Answer is in the attached figure.
For the first one, the answer is yes.
2. A.-1.
i hope this helps.
