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Misha Larkins [42]
1 year ago
3

Quadrilatral ABCD has the following vertices

Mathematics
1 answer:
Tresset [83]1 year ago
4 0

From the calculations below, we can tell that quadrilateral ABCD is not a rectangle because AB is not parallel to CD

<h3>How to Identify a rectangle?</h3>

We are given that the quadrilateral is ABCD with the vertices as;

A(-6,-2)

B(-4,4)

C(8,1)

D(6,-6)

We are further told that Angle A is a right angle. Thus;

AB must be perpendicular to AD.

Secondly, for ABCD to be a rectangle, AB must be parallel to CD. Thus;

By slope formula, for AB and CD are gotten from the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope of CD = (-6 - 1)/(6 - 8)

Slope of CD = -7/-2 = 7/2

Slope of AB = (4 - (-2))/(-4 - (-6))

Slope of AB = 6/2

Slope of AB = 3

Since Slope of AB and AC are not equal then ABCD is not a rectangle.

Read more about Identifying a Rectangle at; brainly.com/question/25292087

#SPJ1

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Graph the Quadratic Function given.<br> y = -x^2 - 4x - 3
Dovator [93]

Answer:

Concave down

Y-intercept: (0,-3)

X-intercepts: (-1,0) (-3,0)

Vertex: (-2,1)

6 0
3 years ago
A) double a number, then add 3
Alinara [238K]

Answer:

a) 2x+3

b) 5x-7

c) 2x-10

d) 3x/2

Step-by-step explanation:

the number considered is x

8 0
3 years ago
Which graph represents the rational function f(x) equals X squared -16 divided by X squared minus 2X -8
masya89 [10]

Answer:

It should be a graph of two branches, one on the top right, and bottom left, and the center of them should be at (-2, 1).

Step-by-step explanation:

f(x)=(x^2-16)/(x^2-2x-8)

= (x+4)(x-4)/(x-4)(x+2)

=(x+4)/(x+2)

=((x+2)+2)/(x+2)

=1+2/(x+2)

So the center is at (-2, 1)

7 0
3 years ago
Jacqueline will spend a fair spinner with the numbers 0 1 2 3 and 4 a total of three times if event a spinner lands on numbers a
WITCHER [35]

Events are said to be INDEPENDENT if the occurence of one does not rest or depend on the outcome of another. Therefore, since the outcome of event A and B does not depend on each other, then both events are INDEPENDENT

Giving a brief description of the options given :

• Dependent events are simply events where the outcome of one event affects the occurence of the other. This is usually related to selection without replacement, where the number of subjects changes after each selection.

• Mutually Exclusive events simply refers to a scenario whereby two events cannot occur simultaneously. For instance, obtaining a head and a tail simultaneously during a single coin throw.

• Complement events describes two exactly opposite events. For instance, the Complement of obtaining a 4 on a 6 - sided die roll is (1, 2, 3, 5, 6)

For the event described above , the occurrence of A does not hinder the occurrence of the other (not a dependent event ) and it is possible to have both events simultaneously (not Mutually exclusive) (If we have 3 in all throws then both events have occurred )

Therefore, the best description for events A and B is that both events are INDEPENDENT.

Learn more about independent events :

brainly.com/question/1393117

3 0
3 years ago
Your hotel sells four types of rooms: double queen beds for $140/night; king bed for $160/night; junior suite for $220, and full
liberstina [14]

Answer:

$176.50

Step-by-step explanation:

Take each room type and multiply the number of rooms by the price of the room. Add the total for prices and add the total for the number of rooms. Divide the total prices by the total number of rooms.

Type of room   Number Cost    Total

Double queen 140      $200.00   $28,000.00  

King                  160       $150.00   $24,000.00  

Junior Suite          220      $100.00   $22,000.00  

Full business          285 $50.00    $14,250.00  

                                $500.00    $88,250.00  

Average cos per room                    $176.50  

8 0
4 years ago
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