What is the distance between the points (5,1) and (-3,-5)?

Answers

Answer 1

Answer

[tex] \boxed{10 \: \: units}[/tex]

Step by step explanation

Let the points be A and B

A ( 5 , 1 ) ⇒ ( x₁ , y₁ )

B ( -3 , -5 )⇒ ( x₂ , y₂ )

Now, let's find the distance between theses two points:

Distance = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

[tex] \mathsf{ \sqrt{ {( - 3 - 5)}^{2} + {( - 5 - 1)}^{2} } }[/tex]

Calculate

[tex] \mathsf{ \sqrt{ { ( - 8)}^{2} + {( - 6)}^{2} } }[/tex]

Evaluate the power

[tex] \mathsf{ \sqrt{64 + 36} }[/tex]

Add the numbers

[tex] \mathsf{ \sqrt{100} }[/tex]

Write the number in exponential form with a base of 10

[tex] \mathsf {\sqrt{ {10}^{2} } }[/tex]

Reduce the index of the radical and exponent with 2

[tex] \mathsf{10 \: units}[/tex]

-------------------------------------------------------------------------------

The distance formula is used to determine the distance ( d ) between two points. If the co-ordinates of the two points are ( x₁ , y₁) and ( x₂ , y₂ ) , the distance equals the square root of x₂ - x₁ squared + y₂ - y₁ squared.

Hope I helped!

Best regards!


Related Questions

What is the inverse of the function g(x)=-3(x+6)? g^-1(x)=

Answers

Answer:

[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]

Step-by-step explanation:

First assign a letter "y" to g(x) and get rid of parenthesis on the right:

[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]

Now, solve for "x":

[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]

now replace y with x, and call x : [tex]g^{-1}(x)[/tex]

[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]

Answer:

-6 - [tex]\frac{x}{3}[/tex]

Step-by-step explanation:

88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour?

Answers

Answer:

1.46666666667 feet per second

Step-by-step explanation:

60 miles per hour = 88 feet per second

=> 60/60 miles per hour = 88/60 feet per second

=> 1 mile per hour = 1.46666666667 feet per second

The image below shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?

Answers

Answer:

IJ = 2*KL

Step-by-step explanation:

Given that the smaller figure was dilated to create the bigger figure with a scale factor of 2, it therefore means, the dimensions of the smaller figure was increased by times 2 of its dimensions to create the bigger figure.

Thus, the relationship that would exist between line IJ and KL, is that IJ is twice the size of KL.

The relationship is: IJ = 2*KL

Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Answer:

[tex]y = 8x -67[/tex]

Step-by-step explanation:

Given

(9,5) and (8,-3)

Required

Determine the line equation

First, we need to determine the slope  of the line: using

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where

[tex](x_1,y_1) = (9,5)[/tex]

[tex](x_2,y_2) = (8,-3)[/tex]

So;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes

[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]

[tex]m = \frac{5 +3}{9 - 8}[/tex]

[tex]m = \frac{8}{1}[/tex]

[tex]m = 8[/tex]

The line equation using point slope form is calculated as thus:

[tex](y- y_1) = m(x - x_1)[/tex]

Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have

[tex]y - 5 = 8(x - 9)[/tex]

Open the bracket

[tex]y - 5 = 8x - 72[/tex]

Make y the subject of formula

[tex]y = 8x - 72 + 5[/tex]

[tex]y = 8x -67[/tex]

E
What is the value of x in the equation 3x.. by y 18, when y27

Answers

Answer:

x = 15

Step-by-step explanation:

We need to find the value of x in the equation 3x – y = 18 when y = 27.

To find the value of x, put y = 27 in the above equation.

So,

3x - 27 = 18

3x = 45

x = 15

So, the value of x is 15.

Calculate JK if LJ = 14, JM = 48, and LM = 50

Answers

Answer:

JK = 6.86

Step-by-step explanation:

The parameters given are;

LJ = 14

JM = 48

LM = 50

[tex]tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}[/tex]

[tex]tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }[/tex]

∠JML = 16.26°

Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.

From the angle bisector theorem, we have;

LM/JM = LK/JK

50/48 = LK/JK................(1)

LK + KJ = 14.....................(2)

From equation (1), we have;

LK = 25/24×JK

25/24×KJ + JK = 14

JK×(25/24 + 1) = 14

JK × 49/24 = 14

JK = 14×24/49 = 48/7. = 6.86.

JK = 6.86

A son is 8 years old. His father is 5 times as old. How old was the father when his son was born?

Answers

Answer:

he was 32

Step-by-step explanation:

8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32

The Father is 32. I know this because 8 x 5 is 40 so he is 40 years old rn. When he was born he was 32 because 40 - 8 is 32. HOPE THIS HELPS!

Deal A is at Walmart and they are selling 50 cupcakes for $30 dollars but gives you 10% discount. Deal B is at Costco gives you 50 percent more cupcakes at the same price at $30 of but no discount. which is a better deal.

Answers

Answer:

Deal B

Step-by-step explanation:

Deal A : $ 30 *10%=3 dollars

the price for 50 cupcake is 27 dollars (54 cent for one cupcake)

Deal B: 50*50%= 25 more cupcake

75 cupcake for 30 dollars ( 40 cents per cupcake)

Deal B is better than Deal A

Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28

Answers

x2 – 3x – 28 = (x-7)(x+4)

Answer:

On the top:-28

On the bottom: -3

On the sides: -7 and 4

X2-3x-28=(x-7)(x+4)

Step-by-step explanation: I got it correct on Edge

what is the value of the 8 1,082

Answers

Answer:

bbbbklhlhjljkhk

Step-by-step explanation:qwertyuiosdfghnjm,

xcvbnm,.sdfghuijk;m./

Answer:

[tex]\Large \boxed{tens}[/tex]

Step-by-step explanation:

We want to find out what 8 is in the number 1,082.

Let’s see the value of each number.

The 1 in 1,082 is in the one thousand place.

The 0 in 1,082 is in the hundreds place.

The 8 in 1,082 is in the tens place.

The 2 in 1,082 is in the ones place

We wanted to find what the value of 8 is, if you look above.. it says ‘The 8 in 1,082 is in the tens place’

Therefore the value of 8 is in the tens place.

If you have any questions, be free to ask!

Evaluate the following expression.
28 – 10 – 15 = 3 =
and this is the order of operations

Answers

Answer:

28 - 10 - 15 - 3

=> 18 - 15 - 3

=> 3 - 3

=> 0

Another way:

=> 28 - 10 - 15 - 3

=> 28 - 25 - 3

=> 28 - 28

=> 0

How much did it cost Mark to drive 775 miles? If his car makes 31 mpg and fuel cost $2.00 per gallon.

Answers

Answer:

$50.00

Step-by-step explanation:

775/31=25

25x2=50

Please i need to know the meaning of this! : Thanks.

Answers

Come on is your answer

Hope this help




If EH = 80, calculate GF.

Answers

Answer:

The length of Segment GF is 120

Step-by-step explanation:

Given that EH = 80, and AB, GF, RH, and DI are  parallel lines, we have;

DC ≅ DE ≅ EF ≅ FA Given

Therefore, CI ≅ HI ≅HG ≅ GB (Triangle proportionality theorem)

From where we have;

EH/GF =CH/CG (Intercept theorem otherwise known as Thales' theorem )

CH = 2 × CI (Transitive property of equality)

Also CG = 3 × CI (Transitive property of equality)

EH/GF = 2×CI/(3×CI) = 2/3

EH/GF = 2/3

80/GF = 2/3

Therefore we have;

Segment GF = 80 × 3/2 = 120

The length of Segment GF = 120.

120 U-U

Mostly cuz i looked it up and i am not explaining it cuz i dont wanna

HELP NOW LOOK AT SCREENSHOT

Answers

Answer:

They are similar because corresponding sides are not proportional

The function f is defined by the following rule
f (x) - 5+1
Complete the function table.
-5
-1
0
2
3​

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

1. f(x) = 5x + 1

x = – 5

f(x) = 5x + 1

f(–5) = 5(–5) + 1

f(–5) = –25 + 1

f(–5) = –24

2. f(x) = 5x + 1

x = – 1

f(x) = 5x + 1

f(–1) = 5(–1) + 1

f(–1) = –5 + 1

f(–1) = – 4

3. f(x) = 5x + 1

x = 1

f(x) = 5x + 1

f(1) = 5(1) + 1

f(1) = 5 + 1

f(1) = 6

4. f(x) = 5x + 1

x = 2

f(x) = 5x + 1

f(2) = 5(2) + 1

f(2) = 10 + 1

f(2) = 11

5. f(x) = 5x + 1

x = 2

f(x) = 5x + 1

f(3) = 5(3) + 1

f(3) = 15 + 1

f(3) = 16

Summary

x >>>>>>>> f(x)

–5 >>>>>> – 24

–1 >>>>>> – 4

1 >>>>>>>> 6

2 >>>>>>> 11

3 >>>>>>> 16

Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).

Answers

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

What is PEDMAS Rule?

PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

Given

7 + (5 – 9)2 + 3(16 ÷ 8)

By using PEDMAS rule,

= 7 + (-4)2 + 3(2)

= 7 + (-8) + 6

= 7 - 8 + 6

= -1 + 6

= 5

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

Find out more information about PEDMAS rule here

https://brainly.com/question/24086845

#SPJ2

The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,

⇒ 29

Since, We knw that,

PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

We have to given that,

Expression is,

7 + (5 - 9)² + 3(16 ÷ 8)

Now, Simplify By using PEDMAS rule,

= 7 + (5 - 9)² + 3(16 ÷ 8)

= 7 + (-4)² + 3(2)

= 7 + 16 + 6

= 23 + 6

= 29

Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29

Learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

Which could be the entire interval over which the
function, f(x), is negative?
(-8,-2)
(-8,0)
(-0, -6)
(00,-4)

Answers

The third option because it only becomes negative when it is less than 6 and stays that way; therefore, one can assume consistency.

m-m-1/2=1-m-2/3 ( will mark brainiest)

Answers

Answer:

Step-by-step explanation:

m= 1/2

this is answer ..........

hope it helps

pls mark my answer as the brainliest

Answer:

M = 5/6

Step-by-step explanation:

m-m-1/2=1-m-2/3

You combine like terms, in this case, the m-m and 1-2/3.

-1/2 = -m + 1/3

Now you need to isolate the m so you subtract 1/3 from both sides.

-1/3 - 1/2 = -m

Combine like terms again.

-5/6 = -m

But m needs to be positive so you divide both sides by -1.

m = 5/6

This should be the answer!

According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?

Answers

Answer:

Graphing Calculator

Step-by-step explanation:

como resuelvo esto y=1+2(4/5)

Answers

Answer:

Es 2.6

Step-by-step explanation:

Answer: translate

Step-by-step explanation:

solve for x 13x + 7 = 5x - 20

Answers

Answer:

13x + 7 = 5x - 20

Step-by-step explanation:

SOLVE for X

13x + 7 = 5x - 20

-------------------------

-5x                   -7  

------------------------

8x=-27

x= -3.375 or -27/8

Answer:

x = -27/8

Step-by-step explanation:

combine the x terms.  To do this, subtract 5x from both sides.  We get:

8x + 7 = -20.  

Next, subtract 7 from both sides, obtaining:

8x = -27, or x = -27/8

Please help quickly!!
A truck is driving up a hill with a 24% grade, so it climbs 24 feet vertically for every 100 feet horizontally.
What is the slope of the hill?

Answers

Answer:

6/25

Step-by-step explanation:

rise / run

24/100 = 6/25

Answer:

[tex]\frac{6}{25}[/tex]

Step-by-step explanation:

The slope of any relationship is always rise over run. This means the vertical distance traveled over the horizontal distance traveled will get us our slope.

We travels 24 feet vertically for every 100 feet horizontally, so:

[tex]\frac{24}{100}[/tex].

We can simplify this fraction to find the slope in fraction form.

[tex]\frac{24\div4}{100\div4} = \frac{6}{25}[/tex]

So the slope of this equation is [tex]\frac{6}{25}[/tex].

Hope this helped!

PLEASE HELP, WILL GIVE BRAINLIEST The number of views on an interesting video after it's uploaded is represented by the following table: Time (days) Views 000 101010 444 452452452 888 889889889 121212 133013301330 161616 177017701770 202020 221122112211 Which model for V(t)V(t)V, left parenthesis, t, right parenthesis, the number of views ttt days after it's uploaded, best fits the data?

Answers

Answer:

Option C

Step-by-step explanation:

Options A, B, C, and D all satisfy the base case of V(0) = 10; however, they also all fail the next step case of V(4) = 452.

A at t = 4, results in 163047.361

B at t = 4, results in 1770

C at t = 4, results in 450 (close but not 452)

D at t = 4, results in 41740124.42

Note that at option C, we had the closet value 450 which is only 2 from 452 whereas the next closet was 1218 away.

Choose option C as the curve of best fit.

Cheers.

Answer:

c

Step-by-step explanation:

PROVE THAT:

cos 20° - sin 20° = ​​ \sqrt{2}sin25°

Answers

Answer:

See below.

Step-by-step explanation:

[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]

First, use the co-function identity:

[tex]\sin(90-x)=\cos(x)[/tex]

We can turn the second term into cosine:

[tex]\sin(20)=\sin(90-70)=\cos(70)[/tex]

Substitute:

[tex]\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]

Now, use the sum to product formulas. We will use the following:

[tex]\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})[/tex]

Substitute:

[tex]\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)[/tex]

Use the even-odd identity:

[tex]\sin(-x)=-\sin(x)[/tex]

Therefore:

[tex]\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]

Replace the second term with the original term:

[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]

Proof complete.

Which statement about the relationship shown in the graph is true?

Answers

Answer:

third option

Step-by-step explanation:

In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.

Help me please sssssssssssssssssssssssssssss

Answers

I don’t understand the language where the problem is.

Answer:

0[tex]-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin \left(30^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \sin \left(30^{\circ \:}\right)=\frac{1}{2}\\\\\mathrm{Use\:the\:following\:trivial\:\\identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\\=\frac{1}{2}+\frac{1}{2}-1\\\\=0[/tex]

[tex]\\\cos \left(60^{\circ \:}\right)+\tan \left(30^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\\\\=\frac{1}{2}+\frac{\sqrt{3}}{3}-1\\\\=-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]

[fill in the blank]
In this figure,AB and CD are parallel.

AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.

Answers

Answer:

1. GH

2. a

Step-by-step explanation:

Perpendicular: When 2 lines meet at 90 degrees

1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)

2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too

This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees

What is the reflection image of
(5,−3)across the line
y=x

Answers

Answer: The Answer is (-5,-3)

hope so my answer is correct

Step-by-step explanation:

Pls answer this question as soon as possible​

Answers

Answer:

The answer is -½.

✌ yeah it is ✌

Other Questions
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