I worked the problem by hand. First I used the equation y=mx+b to find the rule for the function. To find m which is the same as the slope you use the change in y divided by the change in x. Or the change in output divided by the change in input. The two points or coordinates used were (-2,-4) and (1,-1). Once you have the slope you use y=mx+b and substitude y by any value of y (-4 or -1) and m is the slope calculated and x would be the corresponding x to the y value used (if -4 was chosen for y then -2 would be used for x). This will be used to calculate b.
surface area of a triangle is 1/2 x base x height.
1/2 x 10 x 12 = 60 square inches.
there are 4 triangular sides: 60 x 4 = 240 square inches
area of the base = 10 x 10 = 100 square inches
total surface area = 240 + 100 = 340 square inches
answer: 340 square inches
Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.
Step-by-step explanation:
Since we have given that
Length of string = 10 feet
Angle of elevation = 45°
We need to find the distance between the fence and where the string is pegged to the ground.
We will apply "Cosine formula "
Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.
Answer:
Malcom's family travel 15 miles per hour faster than Theo's
Step-by-step explanation:
<em>See attachment for complete question</em>
Given
Malcom's Family:
To determine the equation of Theo's family, we refer to the attached graph.
From the graph:
First, we determine the slope, m:
Next, we determine equation for Theo's family using:
Add 50 to both sides
So, we have the following:
--- For Malcom's family
This implies that Malcom's family travel at 65 miles per hour
--- For Theo's family
This implies that Theo's family travel at 50 miles per hour
The difference between this rates is:
<em>Which implies that Malcom's family travel 15 miles per hour faster than Theo's</em>
The line equation is Y= - 1/2x +4
