Answer:
126 inches
Step-by-step explanation:
If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.
420 / 40 = 10.5
So the drawing will be 10.5 feet tall.
To convert 10.5 feet to inches, multiply it by 12.
10.5 * 12 = 126 inches
Answer: y = - 4x/3 + 12
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (6, 4) and (3, 8),
y2 = 8
y1 = 4
x2 = 3
x1 = 6
Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3
To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes
8 = - 4/3 × 3 + c
8 = - 4 + c
c = 8 + 4
c = 12
The equation becomes
y = - 4x/3 + 12
Answer:
The answer to your question is a) y = 1.5x - 6
b) y = -4x + 6.1
c) Point (2.2, -2.7)
Step-by-step explanation:
First line Second line
P (0, -6) Q (1, -4.5) R (0, 6.1) S (1, 2.1)
m = (-4.5 + 6) / (1 - 0) m = (2.1 - 6.1) / (1 - 0)
m = 1.5 / 1 m = -4/1
m = 1.5 m = -4
Line Line
y - y1 = m(x - x1) y - 6.1 = -4(x - 0)
y + 6 = 1.5(x) y - 6.1 = -4x
y = 1.5x - 6 y = -4x + 6.1
Solve the system by equality
1.5x - 6 = -4x + 6.1
1.5x + 4x = 6.1 + 6
5.5x = 12.1
x = 12.1 / 5.5
x = 2.2
Find y
y = 1.5(2.2) - 6
y = 3.3 - 6
y = -2.7
Point (2.2, -2.7)
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.