Hey!
So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:
-3y + 4x = 9
-3y = -4x + 9
y = (4/3)x - 3
Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:
6 = (4/3)(-12) + b
6 = -16 + b
22 = b
Now that we know b, we have both the y-intercept and the slope so our equation would be:
y = (4/3)x + 22
Answer:
Step-by-step explanation:
The formula of a volume of a cone:
r - radius
H - height
We have
r = (7 : 2) in = 3.5 in
H = 4 in
Substitute:
Answer:
H = 11m
Step-by-step explanation:
As we know, volume = length * breadth/width * height
Given,
length = 6m
Breadth/width = 3 1/2 or 3.5
Height = ?
So, l * b * h = v
=> 6m * 3.5m * h = 231m
=> 21m * h = 231m
=> h = 231m /21m = 11m
Therefore, height = 11m / 11metres
Hope this helps
Answer:
The numbers are 39 and 14.
Step-by-step explanation:
Equation 1, sum of the numbers:
x + y = 53
Equation 2, difference of the numbers:
x - y = 25
System of equations:
x + y = 53
x - y = 25
----------------
2x = 78
x = 39
Solve for y:
39 + y = 53
y = 14
The numbers are 39 and 14.
Answer:
250=70x+50
Step-by-step explanation:
