Answer:
<u>The correct answer is 58 1/2 feet. See below to understand the difference of both methods.</u>
Step-by-step explanation:
1. Let's review the information provided to us for solving the question using both methods:
Area of each student = 4 1/2 square feet
Number of students = 13
2. Let's use the first method to solve the question:
4 1/2 = 9/2 (Improper fraction because the numerator, 9 is bigger than the denominator, 2)
9/2 * 13 = 117/2
<u>117/2 = 58 1/2 square feet</u>
3. Let's use the second method to solve the question:
4 1/2 = 4 + 1/2 (Using addition to rewrite the fraction)
(4 + 1/2) * 13 = (4 * 13) + (1/2 * 13) (Distributive property of the multiplication)
(4 * 13) + (1/2 * 13) = 52 + 13/2 = 52 + 6 1/2
<u>52 + 6 1/2 = 58 1/2 square feet</u>
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
Answer:
Option B.
Step-by-step explanation:
The given inequalities are
We need to find the ordered pair which makes both inequalities true.
Check the above inequalities for each given ordered pair.
For (-3,5),
(False)
For (-2,2),
(True)
(True)
So, both inequalities are true for (-2,2). Option B is correct.
For (-1,-3),
(False)
For (0,-1),
(False)
Both inequalities are not true for (-3,5), (-1,-3) and (0,-1).
Therefore, the correct option is B.
Answer:
a
a
a
a
bbbb
Step-by-step explanation:
Just plug in the values for m
so the possible values for k are
when m=5
when m=7
when m=9
so the possible values for k are {4,5,6}
