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expeople1 [14]
3 years ago
6

Explain it so I can better understand it

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0
The question is essentially asking who's equation works better (Part A) and to explain why (Part B). 
Marcella is suggesting the equation 6r + 12 = 683.88 
Julia is suggesting the equation 6(r + 12) = 683.88 

Six people are on the trip.
It is $12 PER person to rent a floatation device. 
The total cost of the trip was $683.88.

Hope I've helped!


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The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Using that formula, you may prove that d(C,E) = d(D,F), which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}

You can use this formula to prove that

m_{CE} = -\cfrac{1}{m_{DF}}

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

y-y_0 = m(x-x_0)

where (x_0,y_0) is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}

And use again the formula for the distance between two points to prove that

d(A,C) = d(A,D) = d(A,E) = d(A,F)

4 0
3 years ago
Which is greater 3/4 or 11/16
Lena [83]
3/4=12/16
12/16 is greater than 11/16
4 0
3 years ago
Read 2 more answers
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and
Alona [7]

Answer:

1 Chair= $1.25     1 table= $8.25

Step-by-step explanation:

5c+3t=31

2c+6t= 52

-2(5c+3t=31)

-10c-6t=-62

+

2c+6t=52

= -8c=-10

/-8      /-8

c= 1.25 or 1 1/4

2c+6t=52

2(1.25)+6t=52

2.5+6t=52

-2.5        -2.5

6t= 49.5

/6      /6

t= 8 1/4

5 0
2 years ago
Need help with two questions please
aleksley [76]

Answer:

Question 1

since triangles are similar

angle B = angle D

8x + 16 = 120

x = 13

Question 2

Ttiangles are similar

therefore, sides are in ratio

AB ÷ XY = BC ÷ YZ = AC ÷ XZ

substituting all values we get

BC = 22

BC = 22AC = 16

7 0
3 years ago
The average of four different positive integers is 9. What is the greatest value for one of the integers?
nekit [7.7K]

Answer:

  • 30

Step-by-step explanation:

<u>Sum of those 4 integers is:</u>

  • 4*9 = 36

<u>If the smallest ones are 1, 2 and 3, then the greatest possible integer is:</u>

  • 36 - (1 + 2 + 3) = 30
3 0
2 years ago
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