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4 years ago

Show that the points A(2,-2), B(14, 10), C(11, 13) and

Mathematics

1 answer:

Vedmedyk [2.9K]4 years ago

6 0

Answer:

is not a rectangle

Step-by-step explanation:

The midpoints of the diagonals are ...

AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.

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John is selling tickets to an event. Attendees can either buy a general admission ticket, x,

Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29 Eqn 1

50x+55y=1505 Eqn 2

Multiplying Eqn 1 by 50

$50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55$

Dividing both sides by 5

$\frac{5y}{5}=\frac{55}{5}\\y=11$

Putting y=11 in Eqn 1

$x+11=29\\x=19-11\\x=18$

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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3 years ago

What is the common number between 1, and 100?

mario62 [17]

50 is a common number Broski

6 0

3 years ago

Which of the following is equal to √^3√5<br>5^1/3<br>5^1/6<br>5^2/3<br>5^3/2

svlad2 [7]

I think it’s number 3

5 0

3 years ago

What numerical expression represents the phrase: the difference of 4 cubed 25

Eddi Din [679]

Answer:

ita A hope it helps

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.

dusya [7]

Answer:

$(40-2)^2$

Step-by-step explanation:

Given: $(38)^2$

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

A trinomial polynomial is a polynomial consisting of three terms.

On multiplying a binomial $(x-y)$ to itself, a perfect square trinomial $(x-y)^2$ is obtained.

Here, $38=40-2$

So, $(38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2$

Here, $(40-2)$ is a binomial and it is multiplied to $(40-2)$ to get a perfect square trinomial $(40-2)^2$

7 0

3 years ago