Answer:
x = y / 3.2
Step-by-step explanation:
Given:
y = 3.2x
Where
y = cost for a taxi ride during peak hours (in dollars)
x = cost for a taxi ride during off-peak hours (in dollars)
Solve the equation for x.
y = 3.2x
Divide both sides by 3.2
y / 3.2 = 3.2x / 3.2
y / 3.2 = x
x = y / 3.2
This means,
Cost for a taxi ride during off-peak hours (in dollars) = Cost for a taxi ride during peak hours (in dollars) / 3.2
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
In our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Answer:
220 N * m or 220 J
Step-by-step explanation:
We have that the work formula would be the applied force multiplied by the distance traveled, that is:
W = F * d
In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:
W = 200 * 1.1
W = 220 N * m = 220 J
Therefore the work carried out by Clarissa and her mom is 200 joules.
Answer:
ML = √[¼ (EC)²]
Step-by-step explanation:
ML² = ½(QR)²
QR² = ½(EC)²
so, ML² = ¼ (EC)²
=> ML = √[¼ (EC)²]
