Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
Choosing the first tile:
At first, there are 7 tiles.
You are interested in choosing a 5. There is only one tile with a 5.
p(5) = 1/7
Choosing the second tile:
After the 5 has been taken, now there are 6 tiles left.
Only one tile has the number 6.
p(6) = 1/6
The overall probability of choosing a 6 after a 5 is the product of the individual probabilities:
p( 5 then 6) = 1/7 * 1/6 = 1/42
Answer: The probability of choosing a 5 and then a 6 is 1/42.
Answer & Step-by-step explanation:
When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

Now, let's use this equation to solve for the rate of change of each question.
<u>Problem 1:</u>

<em>The rate of change of this equation is 2/3</em>
<u>Problem 2:</u>
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<u></u>
<em>The rate of change for this equation is 2</em>
<u>Problem 3:</u>
<u></u>
<u></u>
<em>The rate of change for this equation is 6</em>
The Slope-Intercept form of the equation of the line is:

Where "m" is the slope of the line and "b" is the y-intercept.
The slope can be found with:

Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:

Substituting values, you get that the slope of this line is:

You can substitute the slope and the first point into the equation in Slope-Intercept form:

Solve for "b":

Therefore, the Equation of this line in Slope-Intercept form is: