Answer:
y=2x+4
Step-by-step explanation:
slope=2 as parallel lines have the same slope
y=2x+b , if x=2 then y=8 , so 2x2+b=8
so, b=4
Therefore the equation is y=2x+4
If s represents the number of students, then the number of pizzas is
s/4 + 2 = 9
s/4 = 7 . . . . . . subtract 2
s = 28 . . . . . . multiply by 4
There are 28 students.
<span>4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7)/6
is false because it isn't even true when n=1.
4 ⋅ 6 = 4(4*1+1)(8*1+7)/6
24 = 4(5)(15)/6
24 = 50
Also 4n(4n+2) is not even the correct formula
for the nth term. The correct nth term formula
of 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ...
is (n+3)(n+5). So it's wrong all the way around.</span>
Step-by-step explanation:
1/4 √243 + √27/4 =
(¼ √81×3) + (¼ √9×3) =
9/4 √3 + 3/4 √3 =
12/4 √3 =3√3
Answer:
r = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 
m = 
with (x₁, y₁ ) = (- 9, - 3) and (x₂, y₂ ) = (- 2, r)
m = 
, that is
= ( cross- multiply )
7(r + 3) = 7 ( divide both sides by 7 )
r + 3 = 1 ( subtract 3 from both sides )
r = - 2
