What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?

Answers

Answer 1

length : [tex]\sf \sqrt{89}[/tex]

Explanation:

use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

using the formula:

[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]

Answer 2

Answer:

[tex]\sf \sqrt{89}[/tex]

Step-by-step explanation:

Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)

Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)

Distance formula:

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

Input values into the distance formula and solve for d:

[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]

[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]

[tex]\sf \implies d=\sqrt{64+25}[/tex]

[tex]\sf \implies d=\sqrt{89}[/tex]


Related Questions

Express as in Kg using decimals.


a) 12 g. b) 7 g.





c) 35 kg 15 g. d) 675 g

Answers

Answer:

a)0.012 kg

b)0.007kg

c)35.015kg

d)0.675kg

Step-by-step explanation:

please mark me as brainlest

simplify 12(3a-1)-3(14a-1)

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

6a - 9

Step-by-step explanation:

[tex]12(3a-1) -3(14a-1)\\[/tex]

First you want to factor. Factor out a -3 from both terms.

[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]

Then you want to expand the right bracket.

[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]

Collect the like terms

[tex]= (-3)(-2a +3)\\[/tex]

Distribute:

[tex]= 6a - 9[/tex]

Please help me with this

Answers

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.

Question 2

Help

Meeeeeeeeeeeeeee

Answers

Answer:

black screen

Step-by-step explanation:

this is a black screen

If the sum of the 8th & 9th terms of an arithmetic progression is 72 and the 4th term is -6. Find the common difference.​

Answers

Answer:

Correct Answer: Option D

Step-by-step explanation:

9 1/3

hope that helps

Of the students at Milton Middle School, 126 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?

The answer choices are:
A: 140
B: 210
C: 280
D: 350

Answers

Answer:

C

Step-by-step explanation:

[tex].45s = 126[/tex]

[tex]s = 280[/tex]

A jeepney has an original speed of 30 m/s and a final speed of 40 m/s. Compute its
acceleration if the time of travel is 10 seconds.

Answers

Answer:

1 m/s/s.

Step-by-step explanation:

Acccelaration = rate of change of speed

= (40 - 30) /10

= 10/10

= 1 m/s/s.

at the clothing store 1/8 of the plots arch shirts of the shirt .1/4 are green what fraction of the clothing and the store are green shirts

Answers

Answer:

Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday.

(w+9)+3 write an expression equivalent

Answers

Answer:

[tex]\displaystyle 12 + w[/tex]

Explanation:

Just combine like-terms to arrive at your answer:

[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]

I am joyous to assist you at any time.

order from least to greatest 4/5 9/10 1/3 7/8 i need hep fast

Answers

Answer:

Answer: 1/3, 4/5, 7/8, 9/10

Step-by-step explanation:

4/5 9/10 1/3 7/8

240

5*48=240  4*48=192      192/240

10*24=240 9*24=216        216/240

3*80=240   1*80=80          80/240

8*30=240    7*30=210        210/240

Answer:

option 1 (the basic)

Convert it into a common factor.

So everything in the denominator has to have a common multiple then we can compare from there.

You can either find every multiple here and then see which ones the same or multiply them all (not recommended)

so 120 is the common factor here.

I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.

8 here is the one I calculated.

My process:

8*5 = 40

40 doesnt go to 3

8*10 = 80

80 doesn’t go to 3

8*15 = 120

120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)

So 120 is the denominator.

Now we divide each to find the numerator now.

120/5 = 24

So we multiplieds 24 by 5 to get 120.

Thats the bottom, whatever we do on the bottom we do to the top.

So 4 * 24 is 96

96/120

Now lets fast forward

In the end you’d end up with in the order we began with

96/120 …(4/5)

108/ 120 …(9/10)

40/120 …(1/3)

105/120 …(7/8)

Now we put them in order from least to greatest in this case.

40/120 …(1/3)

96/120 …(4/5)

105/120 …(7/8)

108/120 …(9/10)

Your order would be

1/3

4/5

7/8

9/10

Option 2 (the decimal)

SO in this case you jsut convert them into a decimal then compare

This is relatively easier since its jsut basic division with decimal.

You do numerator divide by denominator.

4 ÷ 5 = 0.8

9 ÷ 10 = 0.9

1 ÷ 3 = 0.3333333…

7 ÷ 8 = 0.875

Now you just put them in order

0.2, 0.333…, 0.875, 0.9

Same order as before

1/3, 4/5, 7/8, 9/10

What is the area of this figure?

Answers

Answer:

56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry

Step-by-step explanation:

Answer:

58.5 ft ^2

Explanation:

You find the area of the 3 individual shapes then add them together.

A rocket is launched into the air. the projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. when will the rocket be 196 feet in the air? after 2.0 seconds after 3.5 seconds after 4.5 seconds after 7.0 seconds

Answers

The rocket will attain a height of 196 feet in 3.5 seconds. Then the correct option is B.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

A rocket is launched into the air.

The projectile motion of the rocket can be modeled using

h(t) = 112t – 16t²

where t is the time since the launch in seconds and h(t) is the height of the rocket at time t.

The time required for the rocket to be 196 feet in the air. Then we have

         112t – 16t² = 196

16t² – 112t + 196 = 0

  4t² – 28t + 49 = 0

On factorization we have

4t² – 28t + 49 = 0

(2t)² – 28t + 7² = 0

          (2t – 7)² = 0

             2t – 7 = 0

                      t = 3.5

Thus, the rocket will attain a height of 196 feet in 3.5 seconds.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

B. after 3.5 seconds

Step-by-step explanation:

i took the test

also:

196 = 112t - 16t²

-16t² + 112t - 196 = 0

4t² - 28t + 49 = 0

(2t - 7)² = 0

2t - 7 = 0

t = 7/2 = 3.5 sec

PLS HELP ME ASAP I WILL MARK THE BRAINIEST

Answers

Answer:

73°, 85°, 62°

Step-by-step explanation:

#1

Angle formed by two chords is half the sum of the intersepted arcs:

m∠HKI = m∠GKJ = 1/2(105 + 41) = 1/2(146) = 73°#2

Angle formed outside by two tangents is half the difference of intercepted arcs:

1/2(55x - 17x) = 9538x = 190x = 190/38x = 5

Find the arc measure:

mAC = 17x = 17*5 = 85°#3

Angle formed outside by two secants is half the difference of intercepted arcs:

mBCD = 1/2(mAE - mDB) = 1/2(147 - 23) = 1/2(124) = 62°

Step-by-step explanation: Is (5, 5) a solution to the equation y=x ?

Answers

Answer:

Yes, (5,5) is a solution of y=x

Step-by-step explanation:

A point is given as a coordinate pair, (x,y). The first number is x and the second number is y. A solution is a pair of numbers that will make the equation true.

To check if the point is a solution, fill in the first number in place of x in the equation. Then fill in the second number for the y.

Here we have the equation:

y = x

Substituting (filling in) we get:

5 = 5 a true statement. So (5,5) IS a solution.

Alternatively, you could graph the equation and verify that the point is on the graph. see image.

Volt Electronics sells a Y-Box game console for $207. The store markup on thr Y-Box is 38%. What was the wholesale price that the store paid for it?​

Answers

The wholesale price that the store paid for the Y-Box game is $150.

What is the wholesale price?

When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.

Wholesale price = selling price / ( 1 + percentage mark up)

$207 / (1+ 38)

$207 / (1.38) = $150

To learn more about profit, please check: https://brainly.com/question/26181966

Match the vocabulary word with the correct definition.

Answers

1. answer choice 3

2. answer choice 2

3. answer choice 1

4. answer choice 4

5. answer choice 5

Answer:

1. the answer choice 3

2. the answer choice 2

3. the answer choice 1

4. the answer choice 4

5. the answer choice 5

Step-by-step explanation:

The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.

Answers

Check the picture below.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]

Solve for x.
4=8x - 10y

Answers

Answer:

x= 1/2 + 5y/4

A department store receives a shipment of 3 boxes of glass ornaments. There are 25 ornaments in each box. Lucas opens the boxes and finds that 6 of the ornaments are broken. Based on this shipment, what prediction can Lucas make about the next shipment of ornaments?
F A delivery of 4 boxes will contain 4 more broken ornaments than a delivery of 3 boxes.
G A delivery of 5 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
H A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
J A delivery of 7 boxes will contain 10 more broken ornaments than a delivery of 3 boxes.​

Answers

Answer:

the next shipment of ornaments are 16

If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?

Answers

The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

Given that trigonometric ratio:

[tex]tan\theta = \frac{11}{60}[/tex]

What is the tangent of an angle?

The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).

So, for the given problem

Opposite side to [tex]\theta[/tex] = 11

Adjacent side to [tex]\theta[/tex] = 60

So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]

[tex]cot\theta =\frac{60}{11}[/tex]

Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

To get more about trigonometric ratios visit:

https://brainly.com/question/24349828

Answer:

60/11 is correct (option c)

Step-by-step explanation:

I just took the test

Find the measure of angle PRT.

Select one:
A. 45°
B. 90°
C. 120°
D. 180°

Answers

Answer:

The measure of angle PRT would be:
B.) 90 degrees


Step-by-step explanation:

Have a great rest of your day
#TheWizzer


The angle letters PRT all will connect at one point which is the angle we will measure.
Angle PRT = 90 degrees


The answer is b. 90 degrees

There is a population of 10,000 bacteria in a
colony. If the number of bacteria doubles every
260 hours, what will the population be 780
hours from now?

Answers

Answer:

80,000

Step-by-step explanation:

The population doubles every 260 hours. 260 goes into 780 three times.

10,000x2=20,000

20,000x2=40,000

40,000x2=80,000

40 POINTS HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?

Answers

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer


Write down an inequality to describe each of these solution sets.

Answers

Answer:

(a) x<=2

(b) x>-2

(c) x>=10

(d) x<-20

Given the value of the hypotenuse c for a 30°-60°-90° triangle, write the equations to represent sides a and b in terms of c. Assume a is the shorter leg.

Answers

Answer:

a = 1/2 • c

b = (root3)/2 • c

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.

a yard is equal in length to three feet

Answers

Answer:

if it takes yards and turns it into feet then it just multiplies it by 3

Step-by-step explanation:

(x+2)(x+7) Write in simplified form

Answers

Answer:

x^2+9x+14

Step-by-step explanation:

x×(x+7)+2×(x+7)

x^2+7x+2x +14

x^2+9x+14

Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price

Answers

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

[tex]\pi = \frac{179}{523} = 0.3423[/tex]

Then the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

Katie took a plane to visit her grandparents for the summer. at the airport, she paid to check 3 bags. since all of her bags were over the weight limit, she had to pay an additional $6 fee for each bag. katie paid a total of $102 to check her bags.
which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?

Answers

Answer:

it costs  $26 to check a bag that's under the weight limit

Step-by-step explanation:

she had to pay an additional $6 fee for  each of the 3 bags.($18 in total)

x= each bag

3x +18 = 102

3x=84

x=26

   

Answer:It costs $28 for a bag that is under the weight limit.

Step-by-step explanation:

3(x+6) = 102

3x+ 18 = 1023x+18=102

3x = 843x=84

x = 28x=28

A manufacturer packages coffee beans in 50 kg
cartons with an allowable error of 0.7%
. what is the acceptable weight range for a carton of coffee beans?

select the answers from the drop-down lists to correctly complete the sentence.
the acceptable weight of the cartons ranges from kg
to kg
.

Answers

Answer:

49.65-50.35

Step-by-step explanation:

0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.

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