Compute the distance between (7,-4,9) and (x,y,z).
a. (7 + x)2 + (-4 + y)2 + (9 + 2)2
b. (7 - x)2 + (-4 - y)2 + (9 - 2)2
C.
d.
7- x) + (-4-y) + (9 -23
(7+ x)2 + (-4+ y)2 + (9+ 2)2

Answers

Answer 1
Answer:

Option b:

[tex]\boxed{ d=\sqrt{(7-x)^2+(-4-y)^2+(9-z)^2}}[/tex]

Explanation:

Let two points be:

[tex]P_{1}(x_{1},y_{1},z_{1}) \\ \\ P_{2}(x_{2},y_{2},z_{2})[/tex]

The distance formula is defined as:

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

Therefore, if we define:

[tex]P_{1}(7,-4,9) \ and \ P_{2}(x,y,z) \\ \\ \\ Then: \\ \\ d=\sqrt{(7-x)^2+(-4-y)^2+(9-z)^2}[/tex]

Finally, correct option is b

Answer 2

Answer:

The Answer is correct, he just has the wrong letter.

Step-by-step explanation:

The correct answer is C


Related Questions

Linda is making a line plot of the data below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12

What are the least and greatest values in the data set?


O A.11.25, 14.125
O B.10.5, 11.25
O C.10.5, 14.125
O D. 10.5,12


HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!! A.P.S A.P.S A.P.S A.P.S

Answers

Answer:

Least: 10.5

Greatest: 14.125

Hope that helps!

Step-by-step explanation:

Answer:  A

I hope this is correct

The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t use a calculator to find the amount of carbon-14 remaining after 4 years

Answers

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Given that,

The amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,

[tex]\rm c = 100(0.99988)^t[/tex]

We have to determine,

The amount of carbon-14 remaining after 4 years.

According to the question,

Equation; [tex]\rm c = 100(0.99988)^t[/tex]

Where the amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,

To determine the amount of carbon-14 remaining after 4 years following all the steps given below.

Then,

The amount of carbon-14 remaining after 4 years is,

[tex]\rm c = 100(0.99988)^t\\\\\rm c = 100(0.99988)^4\\\\ c = 100 \times 0.999520086\\\\c = 99.95 \ gram[/tex]

Hence, The amount of carbon-14 remaining after 4 years is 99.95 grams.

For more details refer to the link given below.

https://brainly.com/question/5898472

Luca wants to paint the back wall of his bedroom, and
he needs to know the area to determine the amount of
paint to buy What is the area of the wall?

Answers

Answer:

The answer is 75 ft^2

Step-by-step explanation:

I did it on

e

d

g

e

n

u

i

t

y

Answer:

The answer is 75

Step-by-step explanation:

the guy above me was correct

Sharon drinks 2/3 of 1/2 of lemonade. How much lemonade did Sharon drink?

Answers

Answer: The answer is  1/3 because you simplify your answer, and the answer is 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

According to the question

Sharon drinks 2/3 of 1/2 of lemonade

So let's solve

To determine the amount Sharon's drinks

2/3 of 1/2

2/3×1/2

2/6

1/3

Therefore the final answer is 1/3

PLEASE HELP




A scuba instructor charges a $150 equipment fee, plus $65 per hour for classes. Write an expression to represent the total cost, C, of lessons as a function of the numefer of hours, h, of the lesson.

Answers

Answer: (consider leaving a thanks)

Since the equation representing the total cost is C, we would write:

C = (rest of equation will go here)

Then, since the price goes up with the number of hours (h) by 65$ each hour, we would write it as (65h)

C = 65h (Final part!)

Finally, since 150$ is added on, and isn't connected to the number of hours we would write the equation like this:

C = 65h + 150

5x(f-32)divided by 9 for f = 95

Answers

Answer:

35x

Step-by-step explanation:

[tex]5x(f - 32) \div 9 \\ \\ = \frac{5x(f - 32)}{9} \\ \\ = \frac{5x(95- 32)}{9} \\ \\ = \frac{5x \times 63}{9} \\ \\ = 5x \times 7 \\ \\ = 35x[/tex]

What is the sum 2 2/3 + 1 1/2?

Answers

Answer:

4 1/6, 25/6, 4.167

Step-by-step explanation:

I'm dumb

Answer:

ok i will give the decimal and the fraction

deciaml is 4.16666666667 and the fraction is 25/6 or 4 1/6

Step-by-step explanation:

hopefully my answer helps

which number is a fact of 6?

Answers

Answer:

if you meant factor then 1, 2, 3 and 6

Answer:

1,2,3,6

Step-by-step explanation:

A factor of a number is any number that can go evenly into another number.

1 x 6 = 6

2 x 3 = 6

So, 1,2,3,6 are factors of 6

Tell me if I wrong.

If right, can I have brainliest

What is the image of (5,-8)(5,−8) after a reflection over the x-axis?

Answers

Answer:

(5,8)

Step-by-step explanation:

(x,y) --> (x,-y)

The image of the point (5, -8) after a reflection over the x-axis is (5, 8).

When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Given the point (5, -8), after a reflection over the x-axis, the new coordinates will be (5, 8).

Here's the step-by-step process:

Keep the x-coordinate the same (x remains 5).

Change the sign of the y-coordinate (-y becomes 8).

Combine the new coordinates to get the reflected point (5, 8).

Therefore, the image of the point (5, -8) after a reflection over the x-axis is (5, 8).


"h varies directly as u". If h = 8 when u = 40, find u when h = 25.

Answers

Answer:

125

Step-by-step explanation:

h=8

u=40

so k=5

hk-u

5*25=125

Answer: u = 25

Step-by-step explanation:

Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10. If both the cube and card have the same number, Lin gets another turn. Otherwise, play continues with the next player. What is the probability that Lin gets another turn?

Answers

Answer:

6/60

Step-by-step explanation:

The probability that Lin gets another turn, P(E) could be 6/60

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

We are given that Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10.

Therefore,

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

Outcomes of cube = { 1, 2, 3, 4, 5, 6}

Outcome of Card = {1, 2, 3} from each group.

when both the cube and card have the same number, then Lin gets another turn.

The probability that Lin gets another turn, P(E) =6/60

P(E) = 1/10

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ6

A line has a slope of One-fourth and passes through point (0.4, negative one-half). What is the value of the y-intercept?

Answers

4 because that’s where the line starts

Answer:

-0.6

Step-by-step explanation:

Which answer choices list possible types of angles for this triangle?
Select two that apply.

Answers

Answer: the first and third one possibly but the first one for sure for sure

The answer is the first and possibly third ones

2x + y = 5
x + y = 4
O A. x = 1, y = 3
O B. x = 1, y = 5
OC. x = 3, y = 1
O D. x = 9, y = -5

Answers

It’s A
Kdnsksjsjsnsnwjwsnnndnjdksnsjssjsnsjsdjsndoxishbabshxbsjsjskansnsn

Answer:

A. x=1, y=3

Step-by-step explanation:

you have to isolate y in the bottom equation in order to put it into the top equation. heres what i did:

we will start with the bottom equation, x+y=4. then, subtract x on both sides of the equation. this will isolate y. now, we have the equation; y=4-x.

next, we are going to substitute our new bottom equation in where y is on the top. it looks like this: 2x+(4-x)=5. then, we are going to get rid of the parenthesis, so our equation is: 2x+4-x=5. to solve this, we have to combine like terms, so we will combine the x terms: x+4=5. now, isolate the variable. to do this, we have to take away 4 from each side so we can get x alone: x=1.

so now that we have a value for x, we can use that to find y. we can actually substitute our x-value into the bottom equation to make it easier: 1+y=4. next, we have to isolate the variable, which is y. this gives us the final answer: y=3.

i hope that this explanation helped with your struggles, it took me awhile to type out and i really tried hard. stay safe and good luck with your class!

Write the first 5 terms of the
sequence an = 3n – 4

Answers

Answer:

- 1, 2, 5, 8, 11

Step-by-step explanation:

Substitute n = 1, 2, 3, 4, 5 into the n th term formula

a₁ = 3(1) - 4 = 3 - 4 = - 1

a₂ = 3(2) - 4 = 6 - 4 = 2

a₃ = 3(3) - 4 = 9 - 4 = 5

a₄ = 3(4) - 4 = 12 - 4 = 8

a₅ = 3(5) - 4 = 15 - 4 = 11

The first 5 terms are - 1, 2, 5, 8, 11

Final answer:

The first 5 terms of the sequence an = 3n - 4 are -1, 2, 5, 8, and 11. Each term is found by substituting the nth term number into the expression and calculating its value.

Explanation:

The student has asked to write the first 5 terms of the sequence an = 3n - 4. To find the terms of this sequence, we simply substitute the values of n (starting from 1 and going up by 1 each time) into the expression and calculate the results.

For n = 1: a1 = 3(1) - 4 = 3 - 4 = -1For n = 2: a2 = 3(2) - 4 = 6 - 4 = 2For n = 3: a3 = 3(3) - 4 = 9 - 4 = 5For n = 4: a4 = 3(4) - 4 = 12 - 4 = 8For n = 5: a5 = 3(5) - 4 = 15 - 4 = 11

Therefore, the first 5 terms of the sequence are -1, 2, 5, 8, 11.

Which expressions are equivalent to 5(-2k-3)+2k
Choose all answers that apply:

(Choice A)
A
(-5*3)-8k

(Choice B)
B
-15

(Choice C)
C
None of the above

Answers

Answer:

A would be the correct one

Step-by-step explanation:

Answer: the correct answer is A

Step-by-step explanation:

These box plots show daily low temperatures for a sample of days in two
different towns. Which statement is the most appropriate comparison of the spreads?

Answers

Given:

The box plots show daily low temperatures for a sample of days in two different towns.

We need to determine the most appropriate comparison of the spreads.

Interquartile range of town A:

The interquartile range can be determined by subtracting the end values of the boxes.

Thus, we have;

Interquartile range = 40 - 20

Interquartile range = 20

Thus, the interquartile range for town A is 20.

Interquartile range for town B:

The interquartile range for town B is given by

Interquartile range = 45 - 35

Interquartile range = 10

Thus, the interquartile range for town B is 10.

Hence, the interquartile range (IQR) for town A, 20° is greater than the IQR for town B, 10°

Hence, Option A is the correct answer.

Use elimination to solve the system of equation
4x+y=-2
3x+2y=6

Answers

Point form:

(-2,6)

Equation form:

x=-2, y=6

Consider the equation a-3 = (1/a)^5
What value(s) of a make the equation true?

Answers

Answer:

No solutions

Step-by-step explanation:

Equations are represented with the "=" sign. It means the expressions on either side are equal. The equation has no solution for a

Given that:

[tex]a^{-3} = (\frac{1}{a})^5[/tex] --- the correct equation

First, we apply the power rule of indices

[tex]a^{-3} = (a^{-1})^5[/tex]

Open the bracket

[tex]a^{-3} = a^{-1 \times 5}[/tex]

[tex]a^{-3} = a^{-5}[/tex]

Cancel out (a) on both sides

[tex]{-3} ={-5}[/tex]

The above solution is not true because

[tex]{-3} \ne {-5}[/tex]

Hence, the equation has no solution for a

Read more about equations at:

https://brainly.com/question/10838664

answer to -18x-17=-53

Answers

Hello :)

-18x - 17 = -53

-18x = -53 + 17

-18x = -36

-x = -2

x = 2

Answer = 2

Zeynoom Kopuyooz :d

-MERVE-

Answer:

Step-by-step explanation:

- 18x - 17 = - 53

- 18x =- 53 + 17

- 18x = - 36

Minus sign will be canceled

18x = 36

x = 36 / 18

x = 2

260 years equals:
O
A. 2 centuries, o decades
O
B. 26 centuries, o decades
O
c. 26 centuries, 60 decades
OD. 2 centuries, 6 decades
O
E. 2 centuries, 60 decades

Answers

It would have to be letter D my guy, if you know what centuries and decades are this is easy
Question E
Because 100 is one century so 200 is two centuries and then 6 decades equals 60 because one decade is 10 years so your welcome

Can anyone help me find answers to these pages? There are 10 pages of this but I can't link them all.

Answers

Answer:

First page:

Calculate the surface area of shapes using two-dimensional nets.

Calculate the surface area of prisms by adding up the sides of each face.

(For the table use your glossary)

Second page:

1.) 6

2.) 7

3.)51

What does it mean when is says write a sequence hat plots the ordered pair if you start at the origin when you are plotting ??

Answers

I didn’t quite understand what you were asking, but the origin is (0,0) so you would plot a dot at the origin being (0,0) then depending on your other numbers, you’d plot them using your Y and X

R is inversely proportional to A.
R = 12 when A = 1.5
a) Work out the value of Rwhen A= 5.
b) Work out the value of A when R = 9

Answers

Here are the answer: a) R = 3.6 and b) A = 2

Step-by-step explanation:

Given,

R is inversely proportional to A.

R ∝ [tex]\frac{1}{A}[/tex]

so, R = [tex]\frac{k}{A}[/tex]  -------eq 1 where k is any constant

To find the values of a) R when A = 5 and

b) Value of A when R = 9

Now,

Putting R = 12 and A = 1.5 in eq 1 we get,

12 = [tex]\frac{k}{1.5}[/tex]

or, k = 12×1.5 = 18

From eq 1 we get,

R = [tex]\frac{18}{A}[/tex] --------- eq 2

Now,

a) Putting A= 5 in eq 2 we get,

R = [tex]\frac{18}{5}[/tex] = 3.6

b)  Putting R = 9 in eq 2 we get

R = [tex]\frac{18}{A}[/tex]

or, A = [tex]\frac{18}{9}[/tex] = 2

Answer:

a.3.6

b. 2

Step-by-step explanation:

R is inversely proportional to A

Which means R=k/A

Cross multiply

k=RA

Since R=12

A=1.5

So k=12×1.5

=18

a. We are to determine the value for R

So R=k/A

=18/5

=3.6

b.we are to determine the value for A

So R=k/A

A=k/R

=18/9

=2

What is the volume?
9 m
19 m
7 m

Answers

Answer:1197m³

Step-by-step explanation:

Answer:

Volume of a triangular irregular prism=1300.16m^3 = 1300m^2

Volume of a rectangular prism two answers =  1197m^3 or  1233m^3

Step-by-step explanation:

With rectangular prism two answers we need the rectangle surface area first

A = 9 m x 19 m = 171m

or A = 7 m x 19m

The rectangle prism could be 1197m^3  or 1233m^3

depending how big the rectangle is as we calculate that first then multiply by depth. If we had the direction of measurement of the base we would just get one answer and not two.

Rectangular prism A = 171sq  

V = 1197m^3    =  (171sq x 7)

or V=  1233m^3  = 137sq x 9

If the prism is a irregular prism we add the surface area's

V = (a+b+c)B/3

V = (7x19)(9x7) (9x19) x B = 133 + 63 + 197 x 197  =  3900.5/3 =1300.16

Please help fast!!!

Answers

Answer:

whats the question

Step-by-step explanation:

ask the question

\

Expand the following:
a) x(x + 5)
b) x(3x – 1)
c) 2x(2x + 3)
d) 5x(x – 3y)

Answers

a) x to the power of 2 + 5x
b) 3x to the power of 2 -x
c) 4x to the power of 2 + 6x
d) 5x to the power of 2 -15xy

Answer:

[tex] {x}^{2} + 5x[/tex]

[tex] {3x}^{2} - x[/tex]

[tex] {4x}^{2} + 6x[/tex]

[tex] {5x}^{2} - 15xy[/tex]

Where does

√17

belong on the Venn diagram?

A) Integers

B) Natural Numbers

C) Rational Numbers

D) Irrational Numbers


REALLY NEED HELP I HAVE 8 MORE QUESTIONS PLS HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND 10 POINTS

Answers

D) irrational numbers
D) irrational numbers


The sum of the measures of the interior angles of a convex polygon is 360 degrees? How many sides does the polygon have?

Answers

Answer: the polygon has

Four sides

Step-by-step explanation:

A square has 4 interior angles of 90° each. 4×90°=360°

Which answer gives statements that should be used to prove angles 4 and 6
are congruent?

Answers

Answer:

b is the answer

Step-by-step explanation:

since the vertical angles are in the same degrees

4 and 2 are vertical,

2 and 6 are in the same degrees

which means 4 and 6 are congruent.

:D

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Explain to me the strategy that you use to order a group of numbers that may be written in different forms, for example percentages, decimals, and fractions. For a standard normal distribution, find the approximate value of P(z0.42). Use the portion of the standard normal table below to help answer the question.0.000.220.320.420.440.640.841.00Probability0.50000.58710.62550.66280.67000.73890.79950.8413OA. 16%B. 34%C. 66%D. 84% Based on the scale drawing, what is the length, in feet, of the actual parking lot? 30) Which group's activities reflected a pattern of intolerance toward immigrants in the United States during the20th century?A) Ku Klux KlanB) United Farm WorkersC) American Indian MovementD) National Organization for Women Rebecca is making bracelets to sell at a charity event. Each bracelet takes 1 1/4 of a foot of embroidery floss to make.If Rebecca has five yards of embroidery floss,how many bracelets can she make? The Fowler family lives in a duplex. 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