What is the range of the given function?
{(-2, 0), (-4,-3), (2, -9), (0, 5), (-5, 7)}
O {x|x = -5, -4, -2, 0, 2}
Oyly=-9, -3, 0, 5, 7}
O {x|x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Oyly = -9,-5, -4, -3, -2, 0, 2, 5, 7}

The statement that proves that quadrilateral JKLM is a kite is (b) LM = JM = 3 and JK = LK = √17

See attachment for the complete question, the graph and the options

The coordinates of the quadrilateral are:

J = (4,5)

K = (5,1)

L = (1,2)

M = (1,5)

Calculate the lengths of the kite using:

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

So, we have:

[tex]JK = \sqrt{(4 -5)^2 + (5 -1)^2} = \sqrt{17[/tex]

[tex]LK = \sqrt{(1 -5)^2 + (2 -1)^2} = \sqrt{17[/tex]

[tex]LM = \sqrt{(1 -1)^2 + (5 -2)^2} = 3[/tex]

[tex]JM = \sqrt{(1 -4)^2 + (5 -5)^2} = 3[/tex]

On a kite, the adjacent sides are of equal lengths

Because LM = JM = 3 and JK = LK = √17, we can conclude that the quadrilateral JKLM is a kite

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Answer:

b. x = 123

Step-by-step explanation:

Using proportions, it is found that 96,734 more obese people were there in evansville than in boulder.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For Evansville, the proportion of obese people is given by:

189/(311+189) = 189/500.

Hence, out of 358,676 people:

oE = 189/500 x 358676 = 135580.

For Boulder, the proportion is given by:

16/(16 + 109) = 16/125

Hence, out of 303,482 people:

oB = 16/125 x 303482 = 38846.

Hence the difference is given by:

135580 - 38846 = 96734

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Using the distance formula, the perimeter of triangle ABC is approximately 40.5 units.

Perimeter = sum of all three sides.

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}[/tex] to find the distance between each of the vertices of the triangle.

The given vertices are:

AB = √[(8−(−6))² + (−1−4)²]

AB = √221

AB ≈ 14.9 units

BC = √[(8−0)² + (−1−(−9))²]

BC = √128

BC ≈ 11.3 units

AC = √[(−6−0)² + (4−(−9))²

AC = √205

AC ≈ 14.3 units

Perimeter of △ABC = 14.9 + 11.3 + 14.3

Perimeter of △ABC ≈ 40.5 units

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Based on the relationship of special angles, the values of x are:

1. x = 34

2. x = 9

3. x = 6

Alternate interior angles are equals and corresponding angles are also equal.

Linear pair angles are supplementary.

1. Angles j and a are linear pair angles, therefore:

3x + 15 + 2x - 5 = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 170/5

x = 34

2. Angles m and g are corresponding angles, therefore:

4x + 12 = 2x + 30

4x - 2x = -12 + 30

2x = 18

x = 9

3. Angles c and v are alternate interior angles, therefore:

6x + 9 = 3x + 27

6x - 3x = -9 + 27

3x = 18

x = 6

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The number of the blue cubes is 35 and the number of the red cubes is 20.

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times the other number.

Given that:-

The number of the blue cubes are calculated as:-

The two equations will be formed by the given data in the question.

[tex]\dfrac{r}{b}=\dfrac{4}{7}[/tex]

7r = 4b

[tex]\dfrac{r+10}{b}=\dfrac{6}{7}[/tex]

7r + 70 = 6b

Solving the above equation we will get the value of b.

4b + 70 = 6b

6b - 4b = 70

2b = 70

b = 35

7r = 4b

7r = 4 x 35

r = 20

Therefore the number of the blue cubes is 35 and the number of the red cubes is 20.

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Answer:

RIght triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5, 3) and (-5, -3)

(-3 - 3)/(-5 + 5) = -6/0 = UNDEFINED

That is also the CORRECT ANSWER

Answer:

Step-by-step explanation:

2| 1   -3    -10  24

 |       2   -2   -24

_______________

   1   -1    -12  |0

b=2

c=-1

d=-2

Answer:.5 for either side

Step-by-step explanation:there are two sides, both equally likely so their probability must be equal and sun to 1. This condition is met when both probabilities are .5

Answer:

50/50 probability

Step-by-step explanation:

Answer:

same thing for the rest, you just change the value of the radius according to the question

Step-by-step explanation:

area = pi * radius²

1)

a = pi * 10²

a = ~3.14 * 100

a = 314 mi²

Answer:

I don't understand what the means

Answer:

2nd option

Step-by-step explanation:

(5x² - 4x - 1) - (- 4x² - 4)

remove first set of parenthesis and distribute second set by - 1

= 5x² - 4x - 1 + 4x² + 4 ← collect like terms

= 9x² - 4x + 3

Answer:

No

Step-by-step explanation:

The defining property of a rhombus is that it has equal side lengths.

=============================================================

Finding all side lengths :

AB

⇒ √(-4 + 6)² + (5 - 4)²

⇒ √2² + 1²

⇒ √5 units

BC

⇒ √(-3 + 4)² + (3 - 5)²

⇒ √1² + (-2)²

⇒ √5 units

CD

⇒ √(-5 + 3)² + (1 - 3)²

⇒ √(-2)² + (-2)²

⇒ √8 units

DA

⇒ √(-6 + 5)² + (4 - 1)²

⇒ √(-1)² + 3²

⇒ √10 units

As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.

Answer:

13/7

Step-by-step explanation:

Method 1 :

1/2*3/7-5/7*1/2+2​ = (3/14)- (5/14) + 2

                            = -2/14 + 2            

                            = -2/14 + 28/14

                            = 26/14

                            = 13/7

Method 2 :

1/2*3/7-5/7*1/2+2​ = (1/2) [3/7 - 5/7] + 2

                            = (1/2)(-2/7) + 2            

                            = (-1/7) + 14/7

                            = 13/7

Answer:

Q=8

Step-by-step explanation:

Just multiply the entire first function by 2

therfore

(x-3y=4) * 2

therefore

=2x-6y=8

This is the same as the second function and in it, the coefficient of x is 2, therefore

Q=8

total no of marbles = 10

no. of marbles which are not yellow = 9

9/10

hope it helps...!!!

Answer:

[tex]\tan 2 x = \dfrac{24}7[/tex]

Step by step explanation:

[tex]\textbf{2)}\\\\\text{Given that,} \\\\~~~~~\cos x = -\dfrac 45\\\\\implies \cos^2 x = \dfrac{16}{25}~~~~~~~~~~;[\text{Square both sides}]\\\\\implies 1- \sin^2 x= \dfrac{16}{25}\\\\\implies \sin^2 x = 1- \dfrac{16}{25}\\\\\implies \sin^2 x = \dfrac{9}{25}\\\\\implies \sin x =\pm\sqrt{\dfrac{9}{25}}\\\\\implies \sin x = \pm \dfrac 35\\\\[/tex]

[tex]\text{Since,}~ \pi \leq x \leq \dfrac{3\pi}{2}, ~ \text{the angle lies in the 3rd quadrant, where}~ \sin x ~ \text{is negative.}\\\\\text{So,}~ \sin x = -\dfrac 35[/tex]

[tex]\text{Now,}~\\\\\tan x = \dfrac{\sin x }{\cos x} = \dfrac{-\tfrac 35}{-\tfrac 45} = \dfrac 35 \times \dfrac 54 = \dfrac 34\\\\\\\tan 2x =\dfrac{2 \tan x }{ 1- \tan^2 x}\\\\\\~~~~~~~~~=\dfrac{2 \left( \tfrac 34 \right)}{1- \left( \tfrac 34 \right)^2}\\\\~~~~~~~~~=\dfrac{\tfrac 64}{1-\tfrac {9}{16}}\\\\\\~~~~~~~~~=\dfrac{\tfrac 32 }{\tfrac 7{16}}\\\\\\~~~~~~~~~=\dfrac 32 \times \dfrac{16}7\\\\\\~~~~~~~~~=\dfrac{24}7[/tex]

Answer:

Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!

system%2810b%2B6p=17000%2C3b%2B20p=17000%29

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Let +a+ = the cost of 1 pencil

Let +b+ = the cost of 1 book

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

(1) +6b+%2B+10a+=+17000+

(2) +3b+%2B+22a+=+17000+

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

Multiply both sides of (2) by +2+

and subtract (1) from (2)

(2) +6b+%2B+44a+=+34000+

(1) +-6b+-+10a+=+-17000+

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

+34a+=+17000+

+a+=+500+

and

(1) +6b+%2B+10a+=+17000+

(1) +3b+%2B+5a+=+8500+

(1) +3b+%2B+5%2A500+=+8500+

(1) +3b+=+8500+-+2500+

(1) +3b+=+6000+

(1) +b+=+2000+

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

Step-by-step explanation:

IT,LL

HELP

Answer:

63 units

Step-by-step explanation:

d = √(x2-x1)^2 + (y2-y1)^2

Meaning it would look like this

d = √(15+48)^2 + (23-23)^2

we changed the subtraction sign in the first one to an addition sign because it was a double negative

hope this helped

The estimated probability that at least one student who have NO PETS is 1/4.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Onyx surveys students at his school and finds that 80% have a pet.

He wants to estimate the probability that, if he randomly selected 4 students, at least one student would NOT have a pet.

lets the numbers 1, 2, 3, and 4 represent a student who HAS a pet, and 5 represent a student who does NOT have a pet.

He then has a computer randomly select 4 numbers and repeats this 20 times.

The estimated probability that at least one student who have NO PETS

= 1/4

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Answer:

7 6 5 5

Step-by-step explanation:

the highest numbers should go in the leftmost digits place, as these are worth more

here, we put 7 in the thousands place, which is 2 thousand higher than if we put 5 in the thousands place

The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

Based on the information given we can say graph third represents the situation.

First Keisha ran to swim practice so the line first increases and then she  but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.

Again they both ran so line increases.

Then they both stayed for 1 hour, so the line should be constant.

Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

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