A quadrilateral has vertices (-5,0), (2,8), (4,-5) and (7,3). Which matrix is the coordinate matrix for the given quadrilateral?

Answers

Answer 1

Answer:

The matrix that is the coordinate matrix of the given quadrilateral is:

$A.\ \left[\begin{array}{cccc}-5&2&4&7\n0&8&-5&3\end{array}\right]$

Step-by-step explanation:

We know that the vertices of a quadrilateral are expressed in form of a matrix by placing the vertices along the column of a matrix.

i.e. the vertex A(-5,0) form the first column of a matrix and similarly the vertex B form the second column of the matrix ; C from the third column of the matrix and D form the third column of the matrix.

Hence, the answer is:

Matrix A

Answer 2

Answer: (-5, 2, 4, 7)
0 8 -5 3

The co-ordinates are just rewritten in form of a column vector. This gives a matrix of order 2x4

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A company's monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months)?A.y = 25,000x + 1,000
B.y = 1,000x
C.y = 1,000x – 25,000
D.y = 1,000x + 25,000

Answers

The equation that represents the profits as a function of time (in months) is

y = 1,000x + 25,000

Option D is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

January month at x = 0 = $25,000

Amount of profit increased each month = $1,000

Now,

The equation that represents the profits after x months.

y = 25,000 + 1,000x

Thus,

The equation is y = 25,000 + 1,000x

Learn more about equations here:

brainly.com/question/17194269

#SPJ2

If at January x = 0, then as you go through the months, x will increase by 1. As they make 1000 each month, multiplying the month by 1000 will show you how much they make
So part of the equation is 1000x
Next, you know that they start with a £25,000 profit, so you need to add it on to the profits you make each month. So the second part needs to be + 25,000
The final function is therefore 1000x + 25,000, which is D

Factor -3bk 2 + 9bk - 6b

Answers

First you do -3bk+9bk and that equals 6bk then since there are no more like terms the experssion would be simplified into 6bk+2-6b
HOPE THAT HELPED!

A case of Mountain Dew (24cans) costs $7.68. What is the unit price?

Answers

Here are the unit rates involved:

$7.68 / 1 case = $7.68 per case

$7.68 / 24 cans = $0.32 per can

1 case / $7.68 = 0.13 case per $

24 cans / $7.68 = 3.125 cans per $

And of course ...

24 cans / 1 case = 24 cans per case

1 case / 24 cans = 0.041666... case per can

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Answers

The slope is:
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Answers

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Answers

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Or
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