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mojhsa [17]
3 years ago
11

Formula for the area of a trapezoid is _____________________

Mathematics
1 answer:
ELEN [110]3 years ago
5 0
The formula for the trapezoid is


A=a+b
2h
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Solve the system of equations:
iVinArrow [24]

(-1,-2) \:  \:  \:  \:  \: and \:  \:  \:  \:  \: (3,6) \\ Answer: A

Step-by-step explanation:

y = 2x \\ y =  {x}^{2}  - 3 \\  \\ 2x =  {x}^{2}  - 3 \\  {x}^{2}  - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x - 3 = 0 \\ x =  - 1 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x = 3

When x = -1

Substitute x = -1 into y = 2x

y = 2(-1)

y = -2

( -1, -2)

When x = 3

Substitute x = 3 into y = 2x

y = 2(3)

y = 6

( 3, 6)

5 0
3 years ago
The school that Joe goes to is selling tickets to a choral performance. On血e first day of ticket
ArbitrLikvidat [17]

Answer:

The price of one senior citizen ticket is $8, and the price of one child ticket is $11.

Step-by-step explanation:

You are looking for two things: the price of a senior citizen ticket and the price of a child ticket.

We need to write two equations using two variables.

Let s = price of 1 senior citizen ticket.

Let c = price of 1 child ticket.

First day of ticket sales:

6 senior citizen tickets, 8 child tickets, total sales of $136

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 8 tickets cost 8c.

The total sales is 6s + 8c.

The total sales is $136, so our first equation is

6s + 8c = 136

Now we do the same for the second day of ticket sales.

6 senior citizen tickets, 9 child tickets, total sales of $147.

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 9 tickets cost 9c.

The total sales is 6s + 9c.

The total sales is $147, so our second equation is

6s + 9c = 147

The system of equations is

6s + 8c = 136

6s + 9c = 147

Multiply both sides of the first equation by -1. Write the second equation below it. Then add the equations.

       -6s - 8c = -136

(+)     6s + 9c = 147

----------------------------

                  c =   11

c = 11, so the cost of a child ticket is $11.

Now substitute 11 for c in the first equation, and solve for s.

6s + 8c = 136

6s + 8(11) = 136

6s + 88 = 136

6s = 48

s = 8

The price of a senior citizen ticket is $8.

The price of a senior citizen ticket is $8, and the price of a child ticket is $11.

6 0
3 years ago
At a birthday party, there are 2 gift boxes that are red, 7 gift boxes that are green, 4 gift boxes that are blue, and 11 gift b
Monica [59]
2 Red — 7 Green — 4 Blue — 11 Random
2 + 7 + 4 + 11 = 24
Probability of Green falling.
7/24

Hope this helps
5 0
4 years ago
A 30- foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21 feet, how far is t
Yanka [14]
Oh, well if it isn’t slope! I used to do this don’t cheat kiddo figure it out
5 0
3 years ago
During the early part of the 1994 baseball season, many sports fans and baseball players noticed that the number of home runs be
natta225 [31]

Complete Question

The picture of the stem plot National  and American League is shown on the first uploaded image

Answer:

The value is \= x  = 50.14

Step-by-step explanation:

From the question we are told that

The stem plot for National League is

            2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\  6\  7\  8\  8\\5 \ \ \ \ \ 3\  5\  5\  5\\6 \ \ \ \ \ 3\  3\  7\\7

The  sample size is  n =  14

Generally the stem plot is interpreted in this manner

   The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with

  for example 4th row

 5           3 5 5 5

is equivalent to

53 55 55 55

Generally the mean for the national league is mathematically represented as

           \= x  = \frac{29 + 31 + \cdots + 67}{14}

=>         \= x  = \frac{702}{14}

=>         \= x  = 50.14

4 0
3 years ago
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