Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?

Answers

Answer 1

Answer:

[tex]\displaystyle d = \sqrt{65}[/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

Identify

Point A(3, 8)

Point B(-1, 1)

Step 2: Find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{65}[/tex]
Answer 2

Answer:

8.1

Step-by-step explanation:

the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)


Related Questions

5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).

A. 1/3

B. 3

C. 3/25x^2

D. 25x^2/3

Answers

i think its b Step-by-step explanation:

[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]

Write the set of non-negative integers in the inequality 2x < 4.

Answers

Answer:

The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is

[tex]S = \{0, 1\}[/tex]

Step-by-step explanation:

The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]

For the inequality [tex]2x < 4[/tex], we have

[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]

Therefore,

[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]

Note: 2 is not included

The integers are

[tex]\ldots -2, -1, 0, 1[/tex]

And the non-negative integers are

[tex]0, 1[/tex]

a handbag was purchased for Rs.280/- and sold for Rs.350/- calculate profit%

Answers

Answer:

profit is 25%

Step-by-step explanation:

profit%=sp-cp/cp×100%

=350-280/280×100%

=0.25×100

=25%

The measure of two complementary angles are 2x degree and 3x degree, then value of x is​

Answers

Answer:

2x+3x=90

or ,5x=90

or,x=90/5

X=18

Answer:

90/5=18 degrees

Step-by-step explanation:

Corine needs 4 pieces
each a foot long to make one
friendship bracelet. She has a total of 144 inches of string. How many friendship bracelets can Corina make?
[?]friendship bracelets

Answers

Answer:

Corina can make 3 friendship bracelets.

Step-by-step explanation:

Solve for how much string is needed for one friendship bracelet:

4 pieces × 1 foot

4 feet

Convert feet into inches (1 foot = 12 inches):

4 feet × 12 inches

48 inches

Divide the total string by each bracelet's string:

144 inches ÷ 48 inches

3 friendship bracelets

Answer:лаксдкннйд

Step-by-step explanation:

The number of music CDs sold in 1993 by one company was approximately 2.3×10^6.The number of music CDs sold by the same company in 2001 was approximately 7.9×10^7. What is the difference in CDs sold between 1993 and 2001?

Answers

Answer:

84%

Step-by-step explanation:

I'm not sure how I got that answer but I'm just smart like that. I'm sorry I couldn't give a better explanation. I'm in a bit of a rush but I hope this answer is helpful to you. Percentage was the only way I could think of. Sorry again.

The difference between  CDs sold between 1993 and 2001 will be 76.7 × 10⁵.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In another meaning subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Given that sell of CDs in 1993 is 2.3 × 10⁶.

Sell of CDs in 2001 is 7.9 × 10⁷.

The difference between sell is = 7.9 × 10⁷ - 2.3 × 10⁶

76.7 × 10⁵ hence it will the correct option.

For more about subtraction,

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3. Given the graph below, determine whether each statement is true or false.

Answers

Answers:

TrueTrueTrueFalseFalse

======================================

Explanation:

In this context, a zero is another term for x intercept or root. This is where the graph either touches or crosses the x axis. This occurs in three locations: x = -3, x = 2, and x = 0. So those are the three roots. That makes the first three statements true, while the remaining two others are false.

Side note: x = 0 doesn't always have to be involved. Its quite possible to have x = 0 not be an x intercept. The term "zero" is a bit misleading in that regard. I prefer either "root" or "x intercept" instead.

Emily says that the lengths of the sides of her prism are 6 inches 5 inches
and 3 inches. Is Emily correct? Use words and numbers to explain why or
why not.

Answers

It depends on her prism if her prism is tilted then not but if it yes

Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.

Answers

Answer:

Y = 1/4 x -3

Step-by-step explanation:

x1 y1  x2 y2

0 -3  -8 -5

   

ΔY -2    

ΔX -8    

   

slope=   1/4    

B= -3          

   

Y =0.25X +-3    

Plssss help thank youuu

Answers

32 out of 107

Do you trust me?

1.Find the first five terms of the recursive sequence.

Answers

Answer:

4.5, - 27, 162, - 972, 5832

Step-by-step explanation:

Using the recursive rule and a₁ = 4.5 , then

a₂ = - 6a₁ = - 6 × 4.5 = - 27

a₃ = - 6a₂ = - 6 × - 27 = 162

a₄ = - 6a₃ = - 6 × 162 = - 972

a₅ = - 6a₄ = - 6 × - 972 = 5832

The first 5 terms are 4.5, - 27, 162, - 972, 5832

Instructions: Point T is the centroid. Find TE if XE= 21.

Answers

Answer:

TE = 7

Step-by-step explanation:

The centroid divides a median in this ratios 1/3 and 2/3. In particular

XT = 2/3 XE

XT = 2/3 * 21

XT = 14

TE = 7

!!!!!!URGENT!!!!!
Two similar rectangles have a proportional coefficient of 1:2, and the perimeter of the smallest one is 80 m, find the
perimeter of the small rectangle

Answers

Answer:

160m

Step-by-step explanation:

Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.

Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.

Therefore, for our case, we multiply the smaller rectangle by 2.

Hence;

(80 × 2)m

= 160 m

NB:

The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.

1. Una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo. Se les dieron 3 opciones: deportes, películas o musicales. El resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas. a) ¿Cuántas prefieren ver sólo deportes? b) ¿Cuántas prefieren ver sólo un programa de televisión? c) ¿Cuántas prefieren ver películas o musicales?

Answers

Answer:

A) 89 personas prefieren ver sólo deportes.

B) 122 personas prefieren ver sólo un programa de televisión

C) 33 personas prefieren ver películas o musicales.

Step-by-step explanation:

Dado que una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo, y se les dieron 3 opciones: deportes, películas o musicales, donde el resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas; para determinar A) cuántas prefieren ver sólo deportes, B) cuántas prefieren ver sólo un programa de televisión; y C) cuántas prefieren ver películas o musicales, se deben realizar los siguientes cálculos:

A)

130 - 25 - 10 - 6 = 89

B)

80 - 25 - 20 - 6 = 29

40 - 20 - 10 - 6 = 4

89 + 29 + 4 = 122

C)

29 + 4 = 33

SOMEONE HELP ME PLEASE

Answers

Answer:

52.8988%

Step-by-step explanation:

Add the bach degrees together and divide it by the total number of degrees

Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?

Answers

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

Please hurry I will mark you brainliest

What is the slope of this?

Answers

Answer:

Step-by-step explanation:

you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :

(y2-y1)/(x2-x1)

the pairs given :

(1,6) and (3,2)

(2-6)/(3-1) = -4/2 = -2

-2 is the slope. the line is going downwards so there is a negative slope

m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b

Answers

Answer:

m,4+ a+b

Step-by-step explanation:

an exterior angle equals the sum of the 2 opposite interior angles

2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39

Answers

I’m pretty sure the answer would be 0.78 I remember doing this

3 rolls would cost $1.17.

What is Concept of Direct Proportion?

There exists a direct proportion between two values when one exists as a multiple of the other.

In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.

If 7 rolls of tape cost $2.73,

Then 1 roll of tape would cost $2.73/7 = $0.39

Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17

Therefore, at same rate the 3 rolls of tape would cost $1.17.

To learn more about Direct Proportion refer to:

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Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution

Answers

Answer:

Step-by-step explanation:

taking the inverse is essentially saying

x = (f(x) + 3)^2

root(x) - 3 = f(x) and -root(x) -3 = f(x)

(you have to take both the positive and negative roots)

plug in 49 for x and get 4 and -10.

The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4

What does the inverse notation f⁻¹(x) represents?

The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)

The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;

Taking the square root of both sides of the equation, we get;

√(f(x)) = √((x + 3)²)

√(f(x)) = (x + 3)

Subtracting 3 from both sides, we get;

√(f(x)) - 3 = x + 3 - 3 = x

√(f(x)) - 3 = x

The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;

The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x

When the output value is f(x) = 49 we get;

f⁻¹(49) = √(49) - 3 = ±7 - 3

Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;

f⁻¹(49) = 7 - 3 = 4

f⁻¹(49) = 4

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Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression
that can be used to determine the final cost of the DVD. HELP URGENTLY PLEASE

Answers

Answer:

If u add the number it will show u te answer which is 7

Step-by-step explanation:

Please help me out!!!!!

Answers

Answer:

From the figure, we´ll use the ratio of sin74

sin74=x/16

x=16/sin74

x=16.64

OAmalOHopeO

Given the equation -2x+3y=12, find the missing value in the ordered pair 3,

Noo linkss plz

Answers

Answer:

(3,6)

Step-by-step explanation:

-2x+3y=12

Let x = 3

-2(3) +3y = 12

-6+3y = 12

Add 6 to each side

-6+6 +3y = 12+6

3y = 18

Divide each side by 3

3y/3 = 18/3

y = 6

Find the equivalent percent for ¾

Answers

3/4 is equivalent to 75%.

To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.

Answer:

75%....3/4 expressed as a percentage is just multiplying 3/4 and 100

3 9. There are 180 girls in a mixed school. the ratio of girls to boys is 4:3 find the otal number of students in the school (a) 25 students (b) 315 students (c) 360 students 405 students of the binary numbers:​

Answers

The ratio 4:3 means for every 4 girls there are 3 boys.

Divide total girls by 4, multiply that by 3 to get total boys:

180/4 = 45 x 3 = 135

There are 135 boys

For total students add boys and girls:

180 + 135 = 315 total students

6.7.35
Question Help
As(t)
800-
A toy rocket is launched from the top of a building 360
feet tall at an initial velocity of 112 feet/second. The
height of the rocket t seconds after launch is given by
the equation s(t)= - 16t2 + 112t+ 360. When does the
rocket reach its greatest height? What is the greatest
height?
600-
400-
200-
0-
0 1
8 9 10
The rocket reaches its greatest height at
feet after
second(s)

Answers

Answer:

Step-by-step explanation:

This is most easily solved with calculus, believe it or not. It is way more direct and to the point, with a whole lot less math!

The position function is given. The velocity function is the first derivative of the position, so if we find the velocity function and set it equal to 0, we can solve for the amount of time it takes for the rocket to reach its max height. Remember from physics that at the top of a parabolic path, the velocity is 0.

If:

[tex]s(t)=-16t^2+112t+360[/tex], then the velocity function, the first derivative is:

v(t) = -32t + 112 and solve for t:

-112 = -32t so

t = 3.5 seconds. Now we know how long it takes to get to the max height, we just need to find out what the max height is.

Go back to the position function and sub in 3.5 for t to tell us that position of the rocket at 3.5 seconds, which translates to the max height:

[tex]s(3.5)=-16(3.5)^2+112(3.5)+360[/tex] and

s(3.5) = 206 feet. I imagine that your answer, if you had to choose one from the list, would be 200 feet, rounded a lot.

The variables x and y vary inversely, and y=-11 when x = 16. Write an equation that relates x and y. Then
find y when x = -9.

Answers

Answer:

y=-176/x

y=176/9

Step-by-step explanation:

[tex]y = \frac{k}{x} \\ - 11 = \frac{k}{16} \\ k = - 176 \\ y = \frac{ - 176}{x} \\ y = \frac{ -176}{ -9} = 19 \frac{5}{9} [/tex]

the polygons in each pair are similar. find the scale factor of the smaller figure to the larger figure.​

Answers

Answer:

Smaller factor/larger figure = 3/6 = ½

Step-by-step explanation:

Scale factor of similar figures is usually the ratio of one to the other.

In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.

Length of smaller figure = 3

Corresponding length of larger figure = 6

Scale factor = smaller figure/larger figure = 3/6

Simplify

Scale factor = ½

please help me with this problem !

Answers

Answer:
3/15
10/15

3 + 10 = 13

13/15


Multiply the numerator and the denominator of a fraction to the denominator of the other fraction.

Example:
The fraction 1/5
The denominator of the other fraction: 3
Multiply the numerator: 1*3 = 3
Multiply the denominator: 5*3 = 15

Combine: 3/15

help me plsssssssssssss

Answers

Answer:

bro the co ordinates are in the picture itself

Answer:

A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)

Step-by-step explanation:

O(-6,-6)

A( -5 , -4)  = A( -6+1 , -6 + 2)

A'(-6+3 ,-6+6) = A'(-3,0)

B(-4,-4) = B(-6+2 , -6+2)

B'(-6+6,-6+6)= B'(0,0)

C(-3,-2) = C(-6+3, -6+4)

C'(-6+9 , -6+12) = C'(3,6)

D(-5 , -2) = D(-6+1 , -6 +4)

D'(-6+3, -6+12)=D'(-3,6)

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