(-1,8) and (8,5). this is a coordinate distance wuestion that i rly need help on

Answers

Answer 1

Answer:

3[tex]\sqrt{10}[/tex] ≈ 9.45

Step-by-step explanation:

calculate the distance d between the points using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (8, 5 )

d = [tex]\sqrt{(8-(-1))^2+(5-8)^2}[/tex]

   = [tex]\sqrt{(8+1)^2+(-3)^2}[/tex]

   = [tex]\sqrt{9^2+9}[/tex]

   = [tex]\sqrt{81+9}[/tex]

   = [tex]\sqrt{90}[/tex]

   = [tex]\sqrt{9(10)}[/tex]

   = [tex]\sqrt{9}[/tex] × [tex]\sqrt{10}[/tex]

   = 3[tex]\sqrt{10}[/tex] ← exact value

   ≈ 9.49 ( to 2 dec. places )


Related Questions

27.
Make an orthographic drawing with top, left, front, and right side view of the model below.
front right

Answers

The orthographic projection based on the information given is illustrated below.

What is orthographic projection?

It should be noted that orthographic projection is a common method that's used for representing three-dimensional objects where each of the object is viewed along parallel lines that are perpendicular to the plane of the drawing.

In this case, it is a form of parallel projection, where all the projection lines are orthogonal to the projection plane which then results in every plane of the scene appearing in affine transformation on the viewing surface.

Learn more about orthographic drawing on:

https://brainly.com/question/6678641

#SPJ1

a(x + 1) - b(x + 1) - x - 1

Answers

Answer:

Step-by-step explanation:

Solution

I'm assuming you want this simplified. If not leave a note.

a(x + 1) - b(x + 1) - x - 1                     remove the brackets

ax + a - bx - b - x - 1                        gather like terms

ax - bx - x + a - b - 1

x(a - b - 1)  + (a - b - 1)                      Use the distributive property to simplify

Answer

(x + 1)(a - b - 1)

The common factor is (a - b - 1). That can be pulled out on either side of the isolated + sign

Solve the inequality.
-2x + 8 < 14
and -3x - 9 ≥ -12
x>?
and
x≤

Answers

Answer:

x > -3     and     x ≤ 1

Step-by-step explanation:

   [First inequality]

Given:

 -2x + 8 < 14

Subtract 8 from both sides:

 -2x < -6

Divide both sides by -2, since it's negative we also flip the sign:

 x > 3

   [Second inequality]

Given:

 -3x - 9 ≥ -12

Add 9 to both sides:

 -3x ≥ -3

 Divide both sides by -3, since it's a negative we also flip the sign:

 x ≤ 1

Which expression can be used to determine the volume of water in a rain barrel after days if there were 179.2 gallons of water in the barrel and 10.6 gallons are used each day?

Answers

The required expression is given by 179.2 - 10.6d.

There were 179.2 gallons of water in the barrel and 10.6 gallons are used each day

What is volume?

Volume, is defined as the ratio of the mass of object to its density.

the volume of water in a rain barrel after "d"days
When there were 179.2 gallons of water in the barrel and 10.6 gallons are used each day.

since the amount of water is getting consumed day by day
therefore, the expression can be given as
  =  179.2 - 10.6d

Thus, the required expression is 179.2 - 10.6d.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ1

Given the following rectangle and circle, what appropriate value of x are the two areas equal? A: x= 3.4 B: x=5.8 C: x= 10.2 D: the curves do not intersect, so there is no solution

Answers

The correct option is D:

the curves do not intersect, so there is no solution

For what values of x are the two areas equal?

The area of the rectangle is given by:

f(x) = (x + 7)*(5x - 3)

f(x) = 5x² -3x + 35x - 21

f(x) = 5x² + 32x - 21

For the circle, the area is:

g(x) = 2*pi*(x + 6)^2

g(x) = 2pi*x^2  + 12pi*x + 72pi

The solution is given g(x) = f(x).

By graphing both functions (the green curve is the area of the rectangle, the orange one is the area of the circle). The two curves never do intercept, so the correct option is D.

If you want to learn more about areas:

https://brainly.com/question/24487155

#SPJ1

If sin theta = 3/4 and is in the first quadrant, then cos theta

Answers

Answer:

[tex]\frac{\sqrt{7} }{4}[/tex]

Step-by-step explanation:

since sin theta = 3/4, opposite length = 3 units and hypotenuse length = 4 units

by pythagoras' theorem, adjacent length = [tex]\sqrt{7}[/tex]

thus cos theta = adjacent/hypotenuse = [tex]\frac{\sqrt{7} }{4}[/tex]

sin(θ)=3/4
α=sin^-1 (3/4)
= 0.84806207898
since it is in the first quadrant
θ=0.84806207898
thus cos(θ)=cos(0.84806207898)
= 0.66143782777

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.
Is TriangleMNL ≅ TriangleQNL? Why or why not?

Yes, they are congruent by either ASA or AAS.
Yes, they are both right triangles.
No, AngleM is not congruent to AngleNLQ.
No, there are no congruent sides.

Answers

Both triangles are congruent by either ASA or AAS Congruence Theorem. hence, the right answer is A: Yes, they are congruent by either ASA or AAS.

What is ASA Congruence Theorem?

The ASA Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent included sides.

The AAS Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent non-included sides.

Triangle LMQ is shown in the figure attached below.

Thus, Proving

Triangle MNL ≅ triangle QNL (ASA)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <MLN and <QLN

Also, they have a common side: side LN (included side).

Therefore, Triangle MNL and triangle QNL are congruent by ASA.

Triangle MNL ≅ triangle QNL ( by AAS)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <NML and <NQL

Also, they have a common side: side LN (non-included side).

Thus, Triangle MNL and triangle QNL are congruent by ASA.

Hence, the right answer is: A: Yes, they are congruent by either ASA or AAS.

Learn more about the ASA and AAS Congruence Theorem on:

brainly.com/question/2102943

#SPJ1

Answer: option A

Step-by-step explanation:

Jenny’s family is traveling on a long road trip. The first day they traveled 11,405.59 yards. On the second day they traveled 12,048.82 yards. On the third day they traveled 9,014 yards. How many yards did they travel during the 3 day road trip?

Answers

Answer:

32468.41 yards

Step-by-step explanation:

11,405.59 + 12,048.82 + 9,014 = 32468.41

32468.41 yards

URGENT CAN SOMEBODY PLEASE ANSWER THESE 2 QUESTIONS

Answers

Answer:

A: y=2x+4

B. 34° Celsius

Step-by-step explanation:

A:

Since the temperature goes up at a steady rate of 2 degres per minute, we can assume that 2 is our slope. Since the graph shows us that 4 is the y-intercept, we can substitute both the slope and y-intercept into the equation of a line, or y=mx+b. (m is our slope and b is our y-intercept.)

Doing so gives you:

[tex]y = 2x + 4[/tex]

B.

Using the above formula (y=2x+4), we can substitute x with 15 (since x is the minutes that pass).

Doing so gives you y=30+4, the sum of which is 34.

Therefore, the answer should be 34° Celsius.

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

Answers

The parent. function shifted down by 2 units to produce x² and to the right by 3 units to produce y = x^2 + 3

What is translation?

This is a way of changing the position of an object on an xy-plane.

Given the parent function expressed as  y = (x + 2^)2

From the resulting image after translation, we can see that the parent. function shifted down by 2 units to produce x² and to the right by 3 units to produce y = x^2 + 3

Learn more on translation here; https://brainly.com/question/12861087

#SPJ1

If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

Answers

The largest possible volume of the box is 6158.394 cm^3.

Define the dimensions of the box to be L, W, and H.

Square base, L = W

Area: A = L^2 * H

Surface Area (Base + Area of 4 sides):

1600 = L^2 + 4 (L*H) ⇒ H = (1600 - L^2) / (4L)

Area: A = 400L - (1/4)L^3

Maximum (Derivative) A' = 400 - (3/4)L^2

Solving for 0

0 = 400 - (3/4)L^2

L^2 ⇒ (40 * SQRT(3)) / 3 = 23.094 (Maximum)

Solving for dimensions, known L=23.094

L = 23.094 cm

W = 23.094 cm

H ⇒ (1600 - L^2) / (4L) = (20 * SQRT(3) / 3) = 11.547 cm

Volume ⇒ L*W*H = 6158.394 cm^3

To locate the most viable extent, add the greatest viable mistakes to every dimension, then multiply. To find the minimum viable volume, subtract the greatest feasible mistakes from each measurement, then multiply.

Volume is a scalar amount expressing the amount of 3-dimensional area enclosed by a closed surface. For example, the gap that a substance or 3-D shape occupies or consists of.

Learn more about volume here https://brainly.com/question/1972490

#SPJ4

HELP
Given S(0, -5), T(-6,0), U(-3,1),
and V (-9, y). Find y such that
ST lI UV.

Answers

Answer: 6

Step-by-step explanation:

The slope of ST is

[tex]\frac{-5-0}{0-(-6)}=-\frac{5}{6}[/tex]

The slope of UV is

[tex]\frac{y-1}{-9-(-3)}=\frac{y-1}{-6}[/tex]
Since parallel segments have the same slope,

[tex]-\frac{5}{6}=-\frac{y-1}{6}\\\\5=y-1\\\\y=6[/tex]

PROBLABILITY!!!

(I added the picture needed)
1.Create a sample space and find the product of each combination. What is the probability that a person wins the game? Express your answer as a fraction in lowest terms and as a percent rounded to the nearest tenth.
(answer to this one is 9/28 and 32.1%)

2. You realize a short time into the carnival that you don’t have enough prizes to last the entire event. You call your teacher, and she suggests that you change the winning number so that a participant will win only 25% of the time. What number will that be? Support your answer.

3. Participants achieving a winning score of 36 or higher in four consecutive attempts will receive a large prize! What is the probability of this occurring?


4. After changing the game rules, participants and the crowd are disappointed when the first five games yield scores of 12, 18, 30, 28, and 24. What statement can you recommend the teacher posts to reassure everyone that the game is fair?

Answers

Based on the game rules of randomly picking a card and multiplying it by the roll from a number cube, the following are true:

Probability is 3/8 or 37.5%.To win 25% of the time, player needs to get 32 or higher. Probability of a score of 36 or higher in 4 attempts is 1/1,1296.Teacher should remind everyone that all numbers except only 24 and 30 can appear equally.

How can the data be represented?

There are 6 sides to dice and 4 cards. The sample space is:

Dice             Card            Product        

1                 5                         5

1                 6                         6

1                 7                         7

1                 8                         8

2                 5                         10

2                 6                         12

2                 7                         14

2                 8                         16  

3                 5                         15

3                 6                         18

3                 7                         21

3                 8                         24

4                 5                         20

4                 6                         24

4                 7                         28

4                 8                         32

5                 5                         25

5                 6                         30

5                  7                         35

5                  8                         40

6                 5                         30                        

6                 6                         36

6                 7                         42

6                 8                         48

Frequency table

Product                     Frequency

5                                      1

6                                      1

7                                      1

8                                      1

10                                      1

12                                      1

14                                      1

16                                      1

15                                      1

18                                      1

21                                      1

24                                      2

20                                      1

28                                      1

30                                      2

32                                      1

25                                      1

35                                      1

40                                      1

36                                      1

42                                      1

48                                      1

Total                                24

The frequency table shows that to get 28 or more, a person will have a relative frequency of:

= 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1

= 9

Probability is:

= 9 / 24

= 3/8

= 37.5%

What product does a player need to win 25% of the time?

The number of products required to win 25% of the time is:

= 25% x 24

= 6

To find the winning number, count down from the highest product 6 times to get 32.

How can the larger prize be won?

The probability of getting 36 or higher is:

= ∑(Probabability of picking 36 and above numbers)

= 1 / 24 + 1/24 + 1/24 + 1/24

= 1 / 6

The probability of repeating this 4 times is:

= 1 / 6 x 1 / 6 x 1/ 6 x 1 / 6

= 1 / 1,296

= 0.0007716

Find out more on frequency tables at https://brainly.com/question/2002190.

#SPJ1

Can someone help me out on matching these angles? ASAP, gotta have answers fast pls

Answers

Answer:

8. a , c

9. b

10. c

A rectangular prism has a square base with a width of 6 and a volume of 360 cm3. If a square pyramid has a base with the same width and height, what is the volume of the pyramid?

Answers

If the 6 and volume 369 cm3 you can at that than multiple and you will get 537.mc

A uniform rod of length 8 m has 20kg. What is the mass per meter.? ​

Answers

Answer:2.5 kg per  meter

Step-by-step explanation:since the rod is uniform i simply divided the weight of the rod(20kg), by the length of the rod(8m). 20kg/8m = 2.5kg/m

At a certain zoo, the average mass of one blue whale is measured to be 1.9 × 105
kilograms. Use scientific notation to express the mass of 140 blue whales.

Answers

Answer:

2.7930 × [tex]10^{4}[/tex]

Step-by-step explanation:

1.9 × 105 × 140 = 27,930

Scientific notation: 2.7930 × [tex]10^{4}[/tex]

Find the measure of x.
X
56.76°
56.76
x = [?]
Round to the nearest hundredth.

Answers

Since 56.76 degrees is beta, 56.76 is adjacent and x is hypothesis.
Adjacent over hypothesis is cosine. So,
Cos(56.76) = 56.76/x
X = 56.76/cos(56.76)
X = 103.55

Alyssa's favorite tennis team has 8 players on them. She has taken a picture with every single athlete individually and wants to post some of the pictures on her wall. But she only wants to post 3 pictures on her wall. How many different sets of pictures can she post on her wall

Answers

56 sets of pictures she can post on her wall

It is given that alyssa's favorite tennis team has 8 players on them. She has taken a picture with every single athlete individually and wants to post some of the pictures on her wall. But she only wants to post 3 pictures on her wall.

For this we hve to use factorials. In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. The factorial of n also equals the product of n with the next smaller factorial: For example, The value of 0! is 1, according to the convention for an empty product.

So it will be - [tex]\frac{8!}{3!(8-3)!}[/tex] as this is the formula for combination

This will be 56.

Thus, 56 sets of pictures she can post on her wall

To conduct a survey on current social work majors, a researcher gets a list of all students who have declared a social work major from the registrar from which a sample will be drawn. This list is known as a (n):

Answers

The list is known as the sampling frame.

To conduct a survey on current social work majors, a researcher gets a list of all students who have declared a social work major from the registrar from which a sample will be drawn.

This list is known as a sampling frame.

The sampling frame is the list from which units are drawn for the sample.

Hence, the list is known as the sampling frame.

Learn more about samples here https://brainly.com/question/6186073

#SPJ4

What contribution to geometry is attributed to the work of René Descartes?

Answers

René Descartes provided the first systematic link between Euclidean geometry and algebra.

What is Geometry?

This branch of mathematics involves the study of object shape, their spatial relationship and that of their surrounding space.

René Descartes is referred to as the father of analytic geometry due to him establishing the relationship between Euclidean geometry and algebra.

Read more about Geometry here https://brainly.com/question/20303542

#SPJ1

2 people can paint a fence in one hour. how long would it take 10 people. give your answer in minuets

Answers

Howdy,

Step-by-step explanation:

no of people=2

time taken=1/60mins

no of people=10

time taken=1/x

2=1/60

10=1/x

x=12mins

1.) Find the distance between F( 5, - 2 ) and A( -1, 4)

Answers

Answer:

8.49 units

Step-by-step explanation:

1. The distance formula is: [tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]

2. Let's plug in the numbers: [tex]\sqrt{(-1-5)^{2} +(4--2)^{2} }[/tex]

3. [tex]\sqrt{(-6)^{2} +(6)^{2} }[/tex]

4. [tex]\sqrt{36 + 36}[/tex]

5. [tex]\sqrt{72}[/tex] ≈ 8.485

Who is the Father of Algebra ?

Answers

Answer:

Al- khwarizmi

Step-by-step explanation:

that is my

Answer:

Muhammad ibn Musa al-Khwarizmi

محمد بن موسی خوارزمی

The vehicle preference of police officers and firefighters is given in the table. Based on the information in the table, which or the following is an example of independent events

Answers

Answer:

Step-by-step explanation:


I had this exact question and I figured it out.


the answer is: P(police officer and chooses car)


In order to get this answer I did the P(police officer) X P(choosing car)

It ended up being 36/45 X 15/45. Which is equal to around .2666667.

Now you take the Intersection of police officer and chooses car and you divide it by 45. That value on the chart is 12.


lucky enough, the product of 36/45 and 15/45 is equal to 12/45.


So 0.8 X 0.33 = .26

.26 = .26

Answer:

answer is P(police officer and chooses car)

Step-by-step explanation:

the probability of P(policer officer) and P(choose a car) are independent probabilities ( they are not overlapping probabilities)

Find the probability. If 81% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place

Answers

The probability that 3 separate flights will all take place is 0.531441

let A = event of scheduled flight actually take place

According to the question, P(A)=0.81

Given that 3 separate flights will all take place is an independent event.

Hence, we can use the multiplicative rule which says If the probability that one given flight takes place is 0.81 then the probability of 3 flights taking place is:

P(A∩B∩C) = P(A)*P(B)*P(C)

= 0.81*0.81*0.81

= 0.531441

so, the Probability that 3 separate flights will take place is 0.531441

The formula used for independent events:

P(A∩B∩C) = P(A)*P(B)*P(C)

To learn more about Probability visit:

https://brainly.com/question/25870256

#SPJ4

Suppose it is known that the individual lost more than 12 pounds in a month. Find the probability that he lost less than 19 pounds in the month.

Answers

The probability that he lost less than 19 pounds is 7 / 9.

According to statement

The weight loss by individual is 12 Pounds

So, by uniform distribution probability

P(c ≤ x ≤ d) = (d - c) / (b - a)

Substitute the values in it then

P(12 ≤ x ≤ 19) = (19 - 12) / (20 - 11)

P(12 ≤ x ≤ 19) = 7 / 9

So, the probability that he lost less than 19 pounds is 7 / 9.

Learn more about UNIFORM DISTRIBUTION PROBABILITY here https://brainly.com/question/14114556

#SPJ4

Which expression is not a polynomial?
A. 4-3x+ 5x6
B. x²-x-12
X+3
C. 5x2 + 4x+1
D. 8x¹0+2x+5

Answers

Option b) [tex]x^{2} -x-\sqrt{x} +3[/tex] is not a polynomial

What is a polynomial equation?

Polynomial equation is equation of dependent variables which is related to the independent variable.


since, the equation ,[tex]x^{2} -x-\sqrt{x} +3[/tex] contains the square root of variable that's why its not a polynomial.

Thus, Option b) [tex]x^{2} -x-\sqrt{x} +3[/tex] is not a polynomial

learn more about polynomial here:

brainly.com/question/11536910

#SPJ1

2c+2b in standard from

Answers

Answer:

2c+2b

Step-by-step explanation:

this is because standard form only applies to no. from 10 and above , furthermore, they are unlike terms

Which of the following represents a function?

Please help

Answers

Answer:

(2,3),(4,3),(-2,-3),(-4,-3)

Step-by-step explanation:

A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).

This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.

The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.

A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.

In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:

(5,1),(5,2),(5,3),(5,4)

Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.

Other Questions
Revise the passage by changing all of the gerund to infinitives and all of the infinitives to gerunds.Giving is one of the best things people can do. To volunteer their time shows what caring people they are. Which statement best describes the science of chemistry?A. Chemistry is mainly the study of energy and forces in matter in theuniverse.B. Chemistry is mainly the study of forces in matter.C. Chemistry is mainly the study of the composition of and changesin matter.D. Chemistry is mainly the study of matter in living things. Will give 15 points. Rewrite each expression using the property indicated. I. commutative: 4 x 52. associative: (12 x 7) x 83. identity: 32 x14.distributive: 6 x (8-5)5.associative: (3+4) + 56.zero: 0 x 4 Can anybody tell me how to solve this?The real risk free rate is 2%. The inflation premium for the next three years is 4.0%. The maturity risk premium for three year bonds is 3.7%. Liquidity premium is 3% and default risk premium is 3.5%. What is the nominal rate on a three year Treasury Bond?answer in % without the symbol A sample of gas has a temperature of 373 K and a volume 247 ml. If the temperature is increased to 473 K, what is the new volume? Your client is having difficulty performing a strength exercise after you have demonstrated and provided verbal cues. You decide to demonstrate what he is doing and then contrast with the proper technique. He immediately performs the exercise correctly. Based on this, you should focus on teaching the client exercise primarily through: how mass affects the volume of the solid? Determine the equation, in both factored and standard forms of the following parabola What is the paradox Simons explains about Mad Men? Does Simon praise or criticize Mad Men? Explain your response by paraphrasing her argument? This should be a paragraph response. A square piece of card has a square of side 2 cm cut out fromeach of its corners. The remaining card is then folded alongthe dotted lines shown to form an open box whose totalinternal surface area is 180 cm.What is the volume of the open box in cm?A 100 B 128 C 162 D 180 E 200 Whih number produces a rational number multiplied by 0.5 what is the bond formed between N and BrA) non-polar covalentB) Polar CovalentC) Ionic Classify the graph as a linear function, nonlinear function, or relation (non- function). -i0- O A. Nonlinear function O B. Linear function C. Relation what are two resources within you that are important when choosing a career you would like Which phrase best completes the diagram??Congress's powers underthe Articles ofConfederationTo wage war againstforeign countriesTo pass laws that apply to all statesTo regulate trade between the statesTo collect taxes from the statesTo create a national court systemTo print andborrow money1 of 3 QUESTIONSSUBMIT if ABC is a isosceles triangle with sides(2a+b)cm, (6a+2b+1)cm and a base of 4a cm, if it's perimeter is 28 find sides Compare the graph of g(x) = -0.3x + 7 with the graph of p(x) = x.The graph of g(x) is wider.The graph of q(x) opens downward and the graph of p(x) opBoth have the axis of symmetry x = 0.The vertex of q(x) is (0, 7); the vertex of p(x) is (0, 0).O The graph of q(x) is narrower.The graph of q(x) opens downward and the graph of p(x) opBoth have the axis of symmetry x = 1.The vertex of q(x) is (1, 7); the vertex of p(x) is (1, 0).The graph of q(x) is wider.Both graphs open upward.Both have the axis of symmetry x = 1.The vertex of q(x) is (1, 7); the vertex of p(x) is (1, 0).The graph of q(x) is narrower.Both graphs open downward.Both have the axis of symmetry x = 0.The vartov nf n/v) is in 7) the vartav nf n/v) ie in my To be a complete sentence you just need a subject and a predicate. True False Type the correct answer in each box. Round your answers to the nearest integer.-1010-10In the figure, the perimeter of hexagon ABCDEF is approximatelyResetA10B15 20NextDunits, and its area isCsquare units. if you were successful in getting a law passed, you personally could be involved by :____. Select al that apply.