(iii) A relation between a and b such that point (a,b) isequidistant from the points (8,3) and (2,7)​

Answers

Answer 1

Answer:

7.21 units

Step-by-step explanation:

GIven data

Point 1= (8,3)

x1= 8

y1= 3

Point 2=  (2,7)​

x2= 2

y2= 7

The expression for the distance between two points is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-8)²+(7-3)²)

d=√((-6)²+(4)²)

d=√36+16

d=√52

d= 7.21

Hence the distance between the points is 7.21 units


Related Questions

What are the solutions to the quadric equation x^2-16=0

Answers

Answer:

x=4, x=-4

Step-by-step explanation:

x^2-16=0

Add 16 to both sides;

x^2-16+16=0+16

Simplify;

x^2=16

x=[tex]\sqrt{16}[/tex], x[tex]-\sqrt{16}[/tex]

[tex]\sqrt{16}[/tex]

=4

factor the number;16

[tex]\sqrt{4^2}[/tex]

=[tex]\sqrt{4}[/tex]

-[tex]\sqrt{16}[/tex]

Factor the number 16;

[tex]\sqrt{4^2}[/tex]

=-4

I just need an approximate value.

Answers

Answer:

1.898 ×10^27 kg for Jupiter

and for Neptune 1.024×10^26 kg

Answer:

Hola

Step-by-step explanation:

Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
15, 16, 21
A Not a Triangle
B Acute
Obtuse
D Right

Answers

9514 1404 393

Answer:

  B  acute

Step-by-step explanation:

We can define a "form factor" for a triangle as ...

  f = a² +b² -c²

where c is the longest side length. It will be interpreted as follows:

negative -- obtuse trianglezero -- right trianglepositive -- acute triangle

For this triangle, our "form factor" is ...

  f = 15² +16² -21² = 225 +256 -441 = 40 . . . . a positive number

The triangle is Acute.

QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!!

Answers

Answer:

c.vertical angle is the answer

Answer:

c

Step-by-step explanation:

vertical

correct answer is c

4n-11=9 replacement set of 4,5,6

Answers

Answer:

n = 5

Step-by-step explanation:

4n - 11 = 9

    + 11 =  +11

4n        = 20

4n/4   =  20/4

=5

The growing interest in and use of the Internet have forced many companies into considering ways to sell their products on the Web. Therefore, it is of interest to these companies to determine who is using the Web. A statistics practitioner undertook a study to determine how education and Internet use are connected. She took a random sample of 15 adults (20 years of age and older) and asked each to report the years of education they had completed and the number of hours of Internet use in the previous week. These data follow.

Education 11 11 8 13 17 11 11 11
Internet use 10 5 0 14 24 0 15 12
Education 19 13 15 9 15 15 11
Internet use 20 10 5 8 12 15 0

a. Employ a suitable graph to depict the data.
b. Does it appear that there is a linear relationship between the two variables? If so, describe it.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11

Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0

Labeled scatter plot of Education and Internet Use is attached in the picture below.

Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.

The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048

Click or tap the location where the first dot should be
placed.
CI

Answers

Answer:

C.I

Step-by-step explanation:

Answer:

two on the top

one to the left

two to the right

two on the bottom

Step-by-step explanation:

I have 6 yard of ribbon i want to make ornaments that use 1/4 yard each how many ornaments can I make​

Answers

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment.

Required:
Construct and interpret a 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no-kelp treatment.

Answers

Answer:

The 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no kelp treatment is -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

Step-by-step explanation:

The given data are;

The number of the group 1 plants that exhibited damage = 12

The number of plants in group 1, n₁ = 50

The number of the group 2 plants that exhibited damage = 18

The number of plants in group 2, n₂ = 50

The proportion of group 1 plants that exhibited damage, [tex]\hat p_1[/tex] = 12/50 = 0.24

The proportion of group 2 plants that exhibited damage, [tex]\hat p_2[/tex] = 18/50 = 0.36

The z-value at 95% = 1.64

The confidence interval is given by the following formula;

[tex]C.I. = \hat{p}_1-\hat{p}_2\pm z^{*}\sqrt{\dfrac{\hat{p}_1\left (1-\hat{p}_1 \right )}{n_{1}}+\dfrac{\hat{p}_2\left (1-\hat{p}_2 \right )}{n_{2}}}[/tex]

Plugging in the values, we get;

[tex]C.I. = 0.24-0.36\pm 1.64 \times \sqrt{\dfrac{0.24\left (1-0.24 \right )}{50}+\dfrac{0.36\left (1-0.36 \right )}{50}}[/tex]

Therefore, C.I. = -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901

The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
0 6 x 107
0 6x 107
60 x 10-6
60 106

Answers

The scientific notation for this is :-6x10⁷

What is the value of 6(2b-4) when b=5?

Answers

Replace b with 5:

6(2(5)-4)

Simplify:

6(10-4)

Subtract:

6(6)

Multiply to get the answer: 36

The answer is 36

Hey there!

6(2b - 4)

= 6(2(5) - 4)

= 6(10) - 4)

= 6(10) + 6(4)

= 60 - 24

= 36

Therefore, your answer should be: 36

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A quadrilateral has angles that measure 60 , 115, and 80°. What is the measure of the missing angle?

Answers

Answer:

105

Step-by-step explanation:

The sum of a quadrilateral's angles is always equal to 360

360 - 60 - 115 - 80 = 105

Hope this helps :)

Find the Borda score for the Mustangs in a competition between Mustangs, Avengers, Falcons and Ravens. The voting results by preference are shown:



MAFR: 3

AMFR: 6

FAMR: 1

RAFM: 4

Answers

Answer:MAFR: 3

Step-by-step explanation:

Which expression is equivalent to −3 2/3

Answers

Answer:

The answer is -3 - 2/3

Step-by-step explanation:

Just subtract

mr miller bought 1/3 pounds of nuts he divided the nuts equally among his three children how much did each child get​

Answers

Answer:

1/9

Step-by-step explanation:

1/3 ÷ 3 = 1/9

People use the KCF method for this kind of solution.

At first it is 1/3 ÷ 3/1, after that you need to flip the 2nd fraction. For example, to be able to flip the fraction to find the answer, the equation your supposed to get after flipping the 2nd fraction is 1/3 x 1/3 which makes 1/9.

Slope= -1/2 Line passes through the point (9,8). Write equation with point slope form

Answers

ANSWER: y-8= -1/2(x-9)
Standard equation is. y=mx + b
Sub in point (9,8) and -1/2 for m to find b

8=-1/2(9) + b
8+ 4.5 = b
12.5 = b

Therefore
y = -1/2x + 12.5

Y=-2x^2+16x-35
Axis of Symmetry?

Answers

Answer:

Step-by-step explanation:

y=-2x²+16x-35

=-2(x²-8x+16-16)-35

=-2(x²-8x+16)+32-35

=-2(x-4)²-3

axis of symmetry is x-4=0

or x=4

Answer:

y=2x^2+16x-35

a=2, b=16

x= -[tex]\frac{16}{2x2}[/tex]

x=-4

MEMO

To: All businesses in Simpsons Square Mall

From: Louise Pembrooke, Simpsons Square Mall Manager

Re: New garbage collection rules

Simpsons Square Mall has hired a new waste collection company. Quick Clean, Inc., will be collecting garbage and recycling from all businesses starting next Monday. Collection days will not change, nor will the types of garbage and recycling that are acceptable to dispose of. The pickup time will be two hours later, so please adjust your schedules accordingly.

Each business will be given one blue garbage can and one green recycling bin. Full garbage cans must weigh no more than 40 pounds. Recycling bins must weigh no more than 20 pounds. Do not overfill the garbage cans. Debris that is not in cans must weigh no more than 10 pounds. Items put in the compactor should weigh no more than 60 pounds, except in December when it may weigh up to 70 pounds. Put your garbage in the alley behind your business’s back door.

You own a store in Simpsons Square Mall. Each garbage can must weigh no more than:

10 pounds.
20 pounds.
40 pounds.
60 pounds.
70 pounds.

Answers

Answer:

hhhhhh

Step-by-step explanation:

i think it is 40

Find the area of the circle.

Answers

Answer:

uhhh i got 113.09, so im assuming its 113.04

This is strange there's some sort of mistake with I-ready

Step-by-step explanation:

Find the area of the polygon

Answers

Answer:

14 square units

Translate this sentence into an inequality:

Five subtracted from c is less than −17

Answers

Answer:

-17 < c < 5

Step-by-step explanation:

I think that's the answer

I can't confirm anything

I think it is 17 too

6 am
10 cm
Find the lateral surface area of the cylinder Round your answer to the nearest hundredth.
A)
354.18 cm?
B)
362.16 cm
C)
367.59 cm
D)
376,99 cm

Answers

Answer:

[tex]A=376.99\ cm^2[/tex]

Step-by-step explanation:

We need to find the lateral surface area of the cylinder of radius 6 cm and height of 10 cm.

We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is given by :

[tex]A=2\pi rh\\\\A=2\pi \times 6\times 10\\A=376.99\ cm^2[/tex]

So, the lateral surface area of the cylinder is [tex]376.99\ cm^2[/tex].

Which of the following statements is TRUE about the relationship between the numerical values?
A. The opposite of 15 is equal to 15 greater than zero.
b. 15 greater than zero is less than the opposite of 15.
c. 15 greater than zero is farther from 0 on a number line than the opposite of 15.
D. The opposite of 15 is the same distance from zero on a number line as 15 greater than zero

Answers

Answer:

D is the answer

Step-by-step explanation:

-15 Is the same as 15 its just negative but they have the same distance.

are -(x-4) and -x+4 equivalent?

Answers

Answer:

no

Step-by-step explanation:

Answer:

yes they are

Step-by-step explanation:

Helppppppppp plzzzzz !!!!
In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn.

1) What is the probability that less 60% of them are girls.

A) 0.0018

B) 0.8023

C) 0.8773

D) 0.9016

Type A, B, C, or D in the box

2) What is the probability that more than 70% of them to be girls.

A) 0.0018

B) 0.8023

C) 0.8773

D) 0.9016

Type A, B, C, or D in the box

3) Would it be unusual for more than 70% of them to be girls.

Type "usual" or "unusual" in the box

Answers

Answer:

a

c

b

i think those are right hope im not wrong good luck

D
E
с
Look at ABC. Points D, E, and F are the midpoints of their respective sides. Point G is the point of
concurrency for AD BE. and CF.
Which statement about point G is NOT true?

Answers

Answer:

D. Point G is the center of a circle that can be inscribe in ΔABC

Step-by-step explanation:

To inscribe implies constructing a required shape or figure within a given shape, thus touching the boundaries or sides of the given shape internally.

In the given figure if point G is used as the center of a circle, it would not form an inscribed circle in the given triangle. So that the appropriate answer is Point G is the center of a circle that can be inscribe in ΔABC. Thus, option D is not true.

Answer:

this was correct

Step-by-step explanation:

thank u

Whats the relationship between a and b​

Answers

The relationship between a and b is that they are SUPPLEMENTARY ANGLES

they are supplemen angles

5 11/12 + 3 9/12? Step by step

Answers

Answer:

Simplified: 9 2/3

Step-by-step explanation:

Convert the mixed numbers into improper fractions

To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator

First fraction:

5 11/12

(12 × 5 + 11)/12

(60 + 11)/12

71/12

Next fraction:

3 9/12

(12 × 3 + 9)/12

(36 + 9)/12

45/12

Substitute these fractions in the original problem now:

71/12 + 45/12

Add the numerators only. The denominators stay the same.

(71 + 45)/12

116/12

Now that the calculations are done, convert this back into a whole number

How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction

12 × 9 = 108

This doesn't equal 116 perfectly so we must find the left over

116 - 108 = 8 left over (which is used as the numerator)

9 8/12

If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them

8 and 12 both have common factors of 2 and 4

Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer

9 2/3

Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with rate6cars per minute. Adeer runs out of the woods and tries to cross the road. It takes the deer a random time (independentof everything else), uniformly distributed between2and5seconds, to cross the road. If there is acar passing while the deer is on the road, it will hit the deer with portability2/3(independent ofeverything else). Find the probability of a collision.

Answers

Answer:

Step-by-step explanation:

From the given information:

6 cars pass on the road per minute. This implies that per minute, we will have:

6/60 passes = 0.1 car passing the road per second

Thus, for 5 sec; we have:

5 × 0.1 = 0.5

Let assume X signifies to be a random variable which denote the no of cars in the next  5 minutes and which follows a Poisson distribution.

i.e.

[tex]X \sim Poisson (0.5)[/tex]

[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)[/tex]

[tex]= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}[/tex]

[tex]= 1 - e^{-0.5}[/tex]

[tex]= 1 - 0.6065[/tex]

[tex]= 0.3935[/tex]

However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:

Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;

[tex]Y \sim Poisson (0.2)[/tex]

[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)[/tex]

[tex]= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}[/tex]

[tex]= 1 - e^{-0.2}[/tex]

[tex]= 1 - 0.8187[/tex]

[tex]= 0.1813[/tex]

Please help, this is due in 30 minutes

Answers

Answer:

i think the first one maybe... not so sure

Answer:

Should be B and D

Step-by-step explanation:

You plug in the first number before the comma, and if it equals the second number after the comma then the point 'satisfies the equation'.

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