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:
z = 4
y = -1
x = 2
Step-by-step explanation:
x - y = 3
Therefore => x = 3 + y
y + 2z =7
Therefore => y= 7 - 2z
We have the equation :
2x + 3y + 4z = 17
2(3 + y) + 3(7 - 2z) + 4z = 17
6 + 2y + 21 - 6z +4z = 17
2(7 -2z) - 2z + 27 = 17
14 - 4z - 2z + 27 = 17
-6z + 41 = 17
-6z = -24
z = 4
Answer:
A. Option 1
Sign up cost = 0
1 Month = 125
2 Months = 150
3 Months = 175
4 Months = 200
Step-by-step explanation:
For every option simply write what the starting cost is in the top box for every option. Then multiply the monthly cost by how many months for each box and then add the starting cost. The result of the multiplication and addition will be what you put in each box.
The answer is 314,000,000 ft^2
pi r^2
3.14* 10,000^2
3.14*100,000,000
314,000,000
