I need help with this question

Answer:

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

Step-by-step explanation:

Required

[tex]Perimeter = 42[/tex]

Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.

First, name the rectangle ABCD.

Such that:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_2,y_2)[/tex]

[tex]C = (x_3,y_3)[/tex]

[tex]D = (x_4,y_4)[/tex]

For the rectangle to be either horizontal or vertical, then:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

We have that:

[tex]Perimeter = 42[/tex]

Replace perimeter with its formula

[tex]2(AB + BC) = 42[/tex]

Divide both sides by 2

[tex]AB + BC = 21[/tex]

This implies that, the distance between adjacent sides (through the edges) must be equal to 21

Having said that: a set of coordinates that satisfy the given conditions are:

[tex]A = (5,3)[/tex] -- First quadrant

[tex]B = (-5,3)[/tex] -- Second quadrant

[tex]C = (-5,-8)[/tex] -- Third quadrant

[tex]D = (5,-8)[/tex] -- Fourth quadrant

The above quadrants satisfy the condition:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

HOW TO KNOW THE PERIMETER IS 42

To do this, we simply calculate the distance between the edges and add them up

Distance is calculated as:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

For AB

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For BC

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

For CD

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For DA

[tex]D = (5,-8)[/tex]

[tex]A = (5,3)[/tex]

[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

So, the perimeter is:

[tex]P = D_1 + D_2 + D_3 + D_4[/tex]

[tex]P = 10 + 11 + 10 +11[/tex]

[tex]P = 42[/tex]

See attachment for rectangle

Answer:

P(H | I)

Step-by-step explanation:

Given that

Some players considered to be great hitters and some would be not great htters

So based on the symbols given in the question

For all the great hitters a player would be an outfielder

For this the symbol is

P(H | I)

The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].

Given information:

On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.

Lets assume,

It is required to write the probability that of all the great hitters, a player is an outfielder.

It is required that the player should be outfielder and hitter both.

So, the required probability can be written as,

[tex]P(O\cap H)[/tex]

Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].

For further  details refer the given link:

https://brainly.com/question/795909

Answer:

tu debes de saber por qué si yo lo sé tú también no es verdad

Step-by-step explanation:

x = 20

y = 25

z = 24

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hope this will be helpful to you .

Answer:

x = 20

y = 25

z = 24

Step-by-step explanation:

2y + 10 = 60

2y = 50

y = 25

2y + 10 = 3x

but y = 25

=> 50 + 10 = 3x

3x = 60

x = 20

5z + 3x = 180

but x = 20

5z + 60 = 180

5z = 120

z = 24

please give me brainlist if it is helpful for you

Answer:

which expresión is equivalent to 9+24

Answer:

280 cm

Step-by-step Explanation

The Komodo dragon 2.8 meters long and weigh more than 300 pounds, the length of the Komodo dragon in centimeters is, 280. So Option B is correct

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

The Komodo dragon are the biggest and heaviest lizards on earth

Full grown adults can reach 2.8 meters long and weigh more than 300 pounds

The length of the Komodo dragon in centimeters = ?

Assume, Komodo is fully grown

So, the length of the Komodo = 2.8 meter

It is known that,

1 meter = 100 centimeter

Now,

2,8 meter = 2.8 × 100 centimeter

                =  280 centimeter

Therefore, the length in centimeter is 280

To know more about Units check:

https://brainly.com/question/30168372

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Answer:

which language is this

Answer:

7 Hours

Step by Step:

150 pages divided by 25 page per hour is 7 Hours

If we do 150/25 we have 7 which is the answer

Answer:

8

Step-by-step explanation:

568÷65=8

Answer:

369.2

Step-by-step explanation:

65% of 568

= 65/100 x 568

=36920/100

=1846/5

=369.2

Answer:

yes it's zero when measured from -1.5 and +1.5 to zero the distance is zero

Answer:

d)

Step-by-step explanation:

İnşallah tutar iyi dersler Gold bye

Answer:

cevap 108 tamam sorun harika bir soru

Answer: 66

Step-by-step explanation: 9+9=18 18+9+9= 36+30=66

Answer:

The company is expected to make [tex]\$ 1[/tex] on every extended warranty sold.

Step-by-step explanation:

Let [tex]X[/tex] denote whether a product with the extended warranty requires replacement in that two years. ([tex]X\![/tex] would be a random variable.) Assume that [tex]X = 1[/tex] means that the product requires replacement, and [tex]X = 0[/tex] otherwise.

Assume that this product requires replacement in that two years. That is: [tex]X = 1[/tex]. The company would then bear a cost of [tex]200 \times 1 =200[/tex] for replacing this product (since [tex]X = 1\![/tex], that cost would be the same as [tex]200 = 200 \times 1 = 200\, X[/tex].)

On the other hand, assume [tex]X = 0[/tex] (that is: this product does not require replacement in that two years.) The company would not need to pay for replacing this product. Since [tex]X = 0\![/tex], the expression [tex]200\, X[/tex] would still represent the cost for the company for this warranty.  

Either way, [tex]200\, X[/tex] would denote the replacement cost that the company would bear for this product. However, given that the company would charge [tex]\$ 11[/tex] for the extended warranty, the net revenue of the company on this warranty would be [tex]((-200) \, X + 11)[/tex]. (An earning of [tex]\$11 \![/tex] minus a spending of [tex]200\, X \![/tex].)

The question states that [tex]0.5\%[/tex] of the products would need replacement in this period. In other words, the expected value of [tex]X[/tex] would be [tex]\mathbb{E}(X) = 0.005[/tex].

The expected revenue of the company on this warranty would be:

[tex]\mathbb{E}(200\, X + 11)[/tex].

Apply the linearity of expected values to find the value of [tex]\mathbb{E}(200\, X + 11)[/tex]:

[tex]\begin{aligned}& \mathbb{E}((-200)\, X + 11) \\ &= (-200)\, \mathbb{E}(X) + 11 \\ &= (-200) \times 0.005 + 11 = 1\end{aligned}[/tex].

Hence, the company is expected to make [tex]\$ 1[/tex] on every extended warranty that it sold.

Answer:

The third option, y=(-1/3)x-7

Step-by-step explanation:

To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.

If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.

Answer:

994 :)

Step-by-step explanation:

PEMDAS

(8+2)^3 - 6

(10)^3   = 10 x 10 x 10

1,000    - 6

994

Answer:

y = -⅓x-⅓

Step-by-step explanation:

Answer:

m² would be the best unit if you want to measure a room.

Step-by-step explanation:

The unit cm² is too small and would be less exact.

Answer:

Oct 20, 2019 — So how many flights does it takes for stair climbing to qualify as a workout? ... the Harvard Alumni Health study reported that climbing 10-19 flights a week (two ... But to be clear, we're not talking about the type of stair climbing you do ... of 20 seconds (about 60 steps) or a single/double flight of stairs that ca

Step-by-step explanation:

Answer:

l = 2w + 2 would be the equation

Step-by-step explanation:

Does this graph help?

Answer:

Step 1

Step-by-step explanation:

When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.

Answer:

8 teaspoons of vanilla

15 cups of flour

Step-by-step explanation:

Since 20 is 4 x 5

And the flour and vanilla has to be proportionate, You also have to multiply 2 tablespoons of vanilla by 4

4 x 2 = 8

Same with the last question

Answer:

117 is the smaller value and 231 is the larger value

Step-by-step explanation:

Standard deviation is 57

Middle 50% is average and one standard deviation to each direction

So if the average is 174

174 - 57 is 117

174 + 57 is 231

Answer:

13/10  < 25/10  < 92/10  < 133/10

Step-by-step explanation:

13/10 is less than 5/2 is less than 46/5 is less than 133/10

Answer:

Step-by-step explanation:

a) PR=SU

b) PQ=TU

c) RQ=TS

Answer:

<P = <U

PQ = TU

<T = <U

Step-by-step explanation:

Sides can be shown to be congruent through tic marks. If two lines have the same number of tic marks then they are congruent. PQ and TU both have one, therefore they are congruent.

Angles are shown to be congruent through arcs. If two angles have the same numbers of arcs then they are congruent. <P and <Q both have two and <T and <U both have one. So they are congruent.

Answer:

15 minutes or less can save you 15% or more on car insurance

Step-by-step explanation:

Gieko

Answer:

x=8

Step-by-step explanation:

subtract 9 from 17 to get x alone on one side. 17-9=x+9-9. That will equal 8=x. Hope this helps

Answer:

hello !

x = 8

transpose nine to isolate x:

17 - 9 = x

8 = x