Answer:
1:6 = 7:42
Step-by-step explanation:
<h2>Answer:
y = - ¹/₂ x + 5
</h2>
<h3>Step-by-step explanation:
</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = 2 (y = 2x + 2)
then the slope of the perpendicular line (m) = - ¹/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 3 = - ¹/₂ (x - 4)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 3 = - ¹/₂ (x - 4)
y = - ¹/₂ x + 5 (in slope-intercept form)
The answer is: 
The explanation for this answer is shown below:
1. By definition, the amount of second required for the pendulum to move from its resting position and return, is the period.
2. As you can see in the graph attached in the exercise, the wave interval is repeating every two units of x (or
).
3. Therefore, the period is
.
Answer:
Final cost of the item is $19.55
Step-by-step explanation:
Expression representing the final cost of an item with original price = $p and discount = 15% will be,
Final cost = (p - 0.15p)
If the original price p = $23
By substituting p = 23 in the expression given,
Final cost after discount = 23 - (0.15)23
= 23 - 3.45
= $19.55
Therefore, final cost of the item is $19.55
Answer:
option D.
Step-by-step explanation:

let's take any point on the graph. let's say (2, 16)
and one point we know is (0, 0)

= 16($) / 2 (hrs)
= 8 $/ hrs
that is option D.