Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
Answer:
the answer it $5.18
Step-by-step explanation:
$4.50 + ($4.50 x .15)
$4.50 + $0.68 = $5.18
Answer:
Step-by-step explanation:
I uploaded a picture hope it helps
Let ticket be x and meal be y
So $0.50 for each movie ticket = 0.50x
$2 for each meal = 2y
He purchased 22 tickets, so x = 22
0.50 * 22 = $ 11
Now the total value is $25 (with both ticket and meal)
total = t
0.50x + 2y = t
you know x = 22 and t = 25
11 + 2y = 25
Part A)
2y = 25 -11
y = 14/2
y = 7
Number of meal is 7
Part B)
(don't know about part B)
0.50x + 2y = 25
0.50(22) + 2(7) = 25
11 + 14 = 25
25 = 25
Answer:
- 7, - 3, 1, 5
Step-by-step explanation:
Using the recursive rule and a₁ = - 7, then
a₂ = a₁ + 4 = - 7 + 4 = - 3
a₃ = a₂ + 4 = - 3 + 4 = 1
a₄ = a₃ + 4 = 1 + 4 = 5
The first four terms are - 7, - 3, 1, 5
