Answer:
4 1/2
Step-by-step explanation:
Use the equation for the slope:

The two points are equal to (x1, y1) and (x2, y2).
So choose one of your points to be (x1, y1). Let's choose (4, -2). That means x1 = 4 and y1 = -2.
The other point would then be (x2, y2). So x2 = 24 and y2 = -17.
Now put these values in to the equation:

The slope is -3/4.
Answer:
4.9 feet
Step-by-step explanation:
First, we need to determine the height of the building using the following:

Where
H = Height of the building
L = Length of the first ladder = 20ft
B = Distance from the base of the building = 10ft
So, we have:





Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:

Where
--- Length of the second ladder
----- Height of the building
So, we have:




Solving for B2, we have:


The price of the tablet before the discount is $ 2667
<h3><u>Solution:</u></h3>
Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount
To find: The price of the tablet before the discount
Let "a" be the price of the tablet before the discount or original price
After receiving a 25 percent discount means 25 percent discount in original price
Discount = 25 % of original price
Discount = 25 % of "a"

Now we can say that,
<em>price of tablet after discount = price of the tablet before the discount - discount</em>
2000 = a - 0.25a
0.75a = 2000
a = 2666.67 ≈ 2667
Thus the price of the tablet before the discount is $ 2667
Answer: 385
Step-by-step explanation:
Mean the three groups of 10 kids=35
Total weight of 3 groups (10x35)=350
Mean weight of 3 groups and one boy ( 35 + 350)=385