<h2>Answer</h2>
<h2>Explanation </h2>
First we are going to find the equation of the solid line passing trough the points (0, 3) and (2, 4).
Using the slope formula:
Now we can use the point slope formula to complete the line equation:
Since the shaded region is bellow the line , the inequality represented in the graph is .
For this case we have to:
n: Represents the weight of Mary in Kg.
If your sister weighs 15 kg less we have:
Where "y" represents the weight of his sister in kg.
To find how many times Mary is heavier than her sister, we must divide Mary's weight by her sister's weight.
We have then:
Answer:
Mary is times heavier than her sister.
Answer:
3.5 hours traveling
2.5 hours stationary
Step-by-step explanation:
When the line is horizontal, the distance isn't changing, so she is stationary, so just add the total time the line is horizontal.
Likewise, all other lines represent traveling.
Answer:
65.5 m
Step-by-step explanation:
Step 1. Find the width of the rectangle.
The formula for the area of a rectangle is
A = lw
Data:
A = 265.5 m²
l = 18 m
Calculation:
265.5 = 18w
w = 265.5/18 = 14.75 m
Step 2. Calculate the perimeter
The perimeter (P) of a rectangle is the sum of the lengths of its sides.
P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m
The perimeter of the rectangle is 65.5 m.
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2-300x -700000 = 0 quadratic formula yields x = 1000
One boat travels 700 the other 1000 whe they first meet.....width of river = 700+ 1000 = 1700 m
