Find the distance between (-5,6)and (3,2).

Answers

Answer 1

Answer:

[tex]\displaystyle d = 4\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formulas]:                                                     [tex]\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract:                                       [tex]\displaystyle d = \sqrt{(8)^2+(-4)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                    [tex]\displaystyle d = \sqrt{64+16}[/tex][Distance] [√Radical] Add:                                                                             [tex]\displaystyle d = \sqrt{80}[/tex][Distance] [√Radical] Simplify:                                                                         [tex]\displaystyle d = 4\sqrt{5}[/tex]

Related Questions



Find the circumference of the circle below. Use 3.14 pi. Round your answer to the nearest tenth.

12.1
12.6
25.1
50.2

PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!

Answers

circumference = 25.1_________________________

Step-by-step explanation:

radius = 4 inches π = 3.14circumference = 2π × radius = 2 × 3.14 × 4 = 25.1 inches _________________________FOLLOW ME

Answer:25.1

Step-by-step explanation:

I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?

Answers

Answer:

She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.

Step-by-step explanation:

First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”

through: (-2,-5), slope = 4
Standard form from a point to a slope

Answers

Answer:

4x-y+3

Step-by-step explanation:

When we are given two points and asked to find the equation of the line, we must find the slope first. After that, it is the same three steps: substitute, distribute, solve for y. You should now be able to write the equation of a line in: point-slope form, slope-intercept form, or standard form

Can someone help me please ?

Answers

Step-by-step explanation:

For A

The name of two similar triangles is ABC and CED.

For b

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Here

< BAC = < CED ( given)

<ACB = < ECD ( vertically opposite angles)

Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.

A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96

Answers

Answer:

c

Step-by-step explanation:

you would do

m = money overall

(m*1.08) +3000= you would do that twelve times

WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!

Answers

Answer:   it is 1.25

hope i helped

Answer:

1.25

Step-by-step explanation:

yeah

Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)? Explain

Answers

Answer:

yes they are perpendicular to eachother because when both the lines cross it makes a right angle 90 degrees making it perpendicular

Step-by-step explanation:

I’ll mark u as brainliest!!! Where could point E be located on the coordinate plane ?

Answers

It is located in quadrant 4 hope this helps

yup if I'm not mistaken it's supposed to be iv

Which is expression represents the phrase below?
8 less than the product of 6 and a number, x
8-6x
6x-8
(6x + x) - 8
8 - (6+x)

Answers

Answer:

3

Step-by-step explanation:

(6x + x) - 8 that’s the expression

PLEASE HELP ASAP 50 PTS, Please explain answer (:

Answers

Answer:

0.3²+3

=3.27

Step-by-step explanation:

please mark me as brainliest

help follow the polyas method​

Answers

Answer:

Step-by-step explanation:

Understanding the problem:

x -----> number of munchkins

y -----> number of yema

Devise a plan:

x + y ≥ 10

3x + 2y ≥ 50

Carry out:

y ≥ -x + 10 ------------(I)

3x + 2y  ≥ 50

       2y ≥ -3x + 50

        y ≥ [tex]\frac{-3}{2}+\frac{50}{2}[/tex]

       [tex]y \geq \frac{-3}{2}x + 25[/tex]

Answer:

Understanding the problem:

x -----> number of munchkins

y -----> number of yema

Devise a plan:

x + y ≥ 10

3x + 2y ≥ 50

Carry out:

y ≥ -x + 10 ------------(I)

3x + 2y ≥ 50

Adult tickets cost $9 each and student tickets cost $6 each. A total of 29 tickets were sold worth $210. How many adult tickets were sold?

Answers

Answer: 12 adult tickets where sold

Step-by-step explanation:

Find the value of x

Answers

Answer is X=-0.206
Hope this helps
Have a great night or day

do you think this answer is referring to 11 or 12 ?

Answers

Answer:

11

Step-by-step explanation:

Use the diagram below to find x and each missing angle.

Answers

Angle 1 clearly equals 37°. X=5

Liam mixed together quarts of orange juice and quarts of pineapple juice. Then he added quarts of seltzer to make punch. How much more juice than seltzer did Liam use to make punch?

Answers

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

Question has missing details (See attachment).

Given

[tex]Orange\ Juice = 1\frac{1}{4}quart[/tex]

[tex]Pineapple\ Juice = 2\frac{1}{2}quart[/tex]

[tex]Seltzer = 1\frac{1}{2}quart[/tex]

Required

Determine how much juice than seltzer used.

To do this, we first calculate the total amount of juice

[tex]Juice = Orange + Pineapple[/tex]

[tex]Juice = 1\frac{1}{4} + 2\frac{1}{2}[/tex]

[tex]Juice = \frac{5}{4} + \frac{5}{2}[/tex]

Take LCM

[tex]Juice = \frac{5+10}{4}[/tex]

[tex]Juice = \frac{15}{4}[/tex]

Then subtract the amount of seltzer used.

[tex]Juice - Seltzer = \frac{15}{4}-1\frac{1}{2}[/tex]

[tex]Juice - Seltzer = \frac{15}{4}-\frac{3}{2}[/tex]

Take LCM

[tex]Juice - Seltzer = \frac{15 - 6}{4}[/tex]

[tex]Juice - Seltzer = \frac{9}{4}[/tex]

[tex]Juice - Seltzer = 2\frac{1}{4}[/tex]

The amount of juice used more than seltzer is [tex]2\frac{1}{4}[/tex]

Answer: 3 3/4 quarts

Hope this helps

Find the missing angle measure(s).

Z
X
43°
W

Answers

Answer:

90°grados es la respuesta

HELP please!!!!!!!!!!​

Answers

the correct answer is a) 5x√2x

is 4,320 grams greater than 4,32 kilograms ?

Answers

Answer: No, it is equal.

Step-by-step explanation:

No, small ....... otherwise your question is wrong......

=>4320/1000=4.32

////////////??????????

=>(,)-------(.).......4(.)32/4(,)32

Which is this?

The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s tank hold?

Answers

Answer:

To calculate this you just have to calculate a rule of three with both gas tanks, so if the dad´s car holds 12 gallons of gas, and the mom´s car holds 50% more that means 150% of in the rule of three: So the total amount of gallons that the mom´s car tank can hold is 18 gallons.

example of perpendicular lines

Answers

Answer:

Perpendicular lines are lines that cross perfectly to create a 90 degree angle! Kinda like a big cross. with a right angle in the center area

Step-by-step explanation:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Example: Here, AB is perpendicular to XY because AB and XY intersect each other at 90°

An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal studies. A small human study involving six participants is conducted. What is the probability that the drug is effective on half of the participants?

Answers

Answer:

[tex]P(x=3) = 0.1318[/tex]

Step-by-step explanation:

The question illustrates a binomial distribution and the given parameters are:

Given

[tex]n = 6[/tex] -- sample size

[tex]p = 0.75[/tex] --- probability of success

[tex]r = 3[/tex] --- half of the participant

Using the binomial probability formula, we have:

[tex]P_x = ^nC_xp^x(1-p)^{n-x}[/tex]

For x = 3, the probability is:

[tex]P(x=3) = ^6C_3*0.75^3 * (1-0.75)^{6-3}[/tex]

[tex]P(x=3) = 20*0.75^3 * 0.25^3[/tex]

[tex]P(x=3) = 0.1318[/tex]

Find the area of a circle with the diameter of 3 cm use 3.14 for pi

Answers

Answer:

47.065

Step-by-step explanation:

The formula for area of a circle is A = πr^2

Since the diameter is double the radius, divide 3 in half to get 1.5.

Then plug your numbers into the equation and remember to start with exponents.

3.14 x 1.5^2  or  3.14 x (1.5 x 1.5)

Answer:

7.07 cm

Step-by-step explanation:

Area of a circle = πr²

{diameter = 3 cm ; radius = 3/2 = 1.5 cm}

πr²

= 3.14 x (1.5)²

=3.14 x 2.25

= 7.07 cm (approx)

The radius of a circle is 8 feet. What is the area of a sector bounded by a 144° arc?

Answers

Answer:

[tex] A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]

Step-by-step explanation:

[tex] A_{sector} = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ A_{sector} = \frac{144 \degree}{360 \degree} \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 0.4 \times 3.14 \times {(8)}^{2} \\ \\ A_{sector} = 80.384 \\ \\ A_{sector} \approx \: 80.38 \: {ft}^{2} [/tex]

50 points i need the answer asap
81x - 63i > 3 (27x - 63u)

Answers

the answer would be,

[tex]u > \frac{3x}{7} - \frac{9x - 7i}{21} [/tex]

sorry. if wrong.

but hope it helps anyways.

solve the equation for x and list all possible value for x. [x-9]+2=5
absolute value.​

Answers

Answer:

(4-9)+2=5

Step-by-step explanation:

hope it's it's right

8 7/8+(7 5/6 - 2 1/3)?
I need it in its simplest form.

Answers

8 7/8+(7 5/6) - 2 1/3)
71/8 +(47/6 - 7/3)
71/8+ 11/2
115/8

Which of these systems of equations has an infinite number of solutions?

Answers

Answer: The first one

Step-by-step explanation:

-6c + 11d = 20

-6c + 11d = 20

They're the same equation meaning they'll be on the same line. They would have infinite solutions.

Answer: The first one

Step-by-step explanation:

-6c + 11d = 20

-6c + 11d = 20

The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given value:

[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]

For point a:

Moment generating function of X=?

Using formula:

[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]

[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]

integrating the values by parts:

[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]  

        [tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]

Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]

In point b:

[tex]E(X^n)=?[/tex]

Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]

form point (a):

[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]

Differentiating the value with respect of t

[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]

when [tex]t=0[/tex]

[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]

[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]

What is the value of (2/3)^3?
8/9
5/12
6/27
8/27

Answers

(⅔)³

= 2³
---------


= 8/27
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