First, plot the points. Point R would be somewhere in the second Quadrant, point M would be in the first quadrant 1, point B would be in the fourth quadrant, and point S would be on the negative y-axis. A property of rhombi is that their diagonals are perpendicular. One would need to calculate the slopes of the diagonals and determine whether or not they are perpendicular. Lines are perpendicular if and only if their slopes are opposite reciprocals. Example: 2 and -0.5
Formulas needed:
Slope formula:
The figure would look kinda like this:
R
M
S
B
Diagonals are segment RB and segment SM
So, your slope equations would look like this:
and
Slope of RB= -1
Slope of SM=7
Not a rhombus, slopes aren't perpendicular. But this figure may very well be a parallelogram
So, Anna has a markers, Ben has b markers and Cindy has c markers.
We know that a+b+c = m.
And we know also that a = 2b. (<span> twice as many markers as ben has</span>)
(Remember b is the number of Ben markers.)
The equation becomes:
2b+b+c=m.
Solving for c:
Cindy has (m-3b) markers.
Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L
Area (A) = Length (L) · Width (W)
= (100 - W) · W
= 100W - W²
Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
0 = 100 - 2W
W = 50
refer to the equation above for L:
100 - W = L
100 - 50 = L
50 = L
Dimensions for the maximum Area are 50 ft x 50 ft
Answer: d3< d10>
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
It says that Maya makes one dollar more for each book that she sells so if she sells 13 books, she will make 13 dollars more than her weekly earning which is 43 dollars. So to find the answer, you would need to add 13 + 43 which would equal 56 dollars.