Find the distance between A(3, 2) and B(8,2) a. 2 units b. √5 units c. 3 units d. 5 units​

Answers

Answer 1

Answer:

[tex]\boxed{\sf{5 \quad units}}[/tex]

Step-by-step explanation:

Use the slope formula.

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Use the distance formula.

[tex]: \Longrightarrow \sf{\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}}[/tex]

[tex]\sf{x_2=8}\\\\\\\sf{x_1=3}\\\\\\\sf{y_2=2}\\\\\\\sf{y_1=2}[/tex]

Rewrite the problem down.

[tex]\sf{\sqrt{\left(8-3\right)^2+\left(2-2\right)^2}}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

⇒ (8-3)²+(2-2)²

Solve parentheses, first.

⇒ (8-3)²

⇒ 8-3=5

⇒ 5²+(2-2)²

⇒ (2-2)=0

⇒ 0²

Rewrite the problem down.

⇒ 5²+0²

Do exponents next.

⇒ 5²=5*5=25

⇒ 0²=0*0=0

⇒ 25+0

Add.

⇒ 25+0=25

You can also divide the numbers from left to right.

→ 25/5=5

Therefore, the distance between (3, 2) and (8,2) is "5 units", which is our answer.

I hope this helps. Let me know if you have any questions.


Related Questions

A triangle has sides with lengths of 20 centimeters, 48 centimeters, and 54 centimeters. The the triangle a right triangle

Answers

Answer:

It is NOT a right triangle

Step-by-step explanation:

If it IS a right triangle , the Pythagorean Theorem will apply

  TEST :  20^2 + 47^2 = 54^2   ??

                    2609 = 2916 ??      It does not

Please help me solve #1

Answers

Answer:

domain x range y

Step-by-step explanation:

hopefully it helps

true or false? (7+1)+8=7+(1+8)

Answers

Answer: True

Explanation:

can anyone help me find x for #7?​

Answers

Answer:

80

Step-by-step explanation:

since all 3 angles of a triangle = 180

and two sides are parallel/same length to each other

180-50-50=80

so my guess is 80 degrees

What’s the difference please help

Answers

Answer:

C

Step-by-step explanation:

-7ab

Answer:

the correct answer is b

Step-by-step explanation:

b

Given that the mathematics score of a subject is between 600 and 690, what is the probability that the subject is male?

Answers

Answer: The number of subjects with a mathematics score in the range of 600 to 690 is 296,518.

The number of males with a mathematics score in the range of 600 to 690 is 162,564.

The probability of a subject being male, given that he has a mathematics score between 600 and 690, is:= [tex]\frac{162,564}{296,518} = 0..5482= 54.82 percent[/tex]

Step-by-step explanation:

Find the lateral area of a waffle cone with a diameter of 4.6 in. and a slant height of 7.9 in. Give your answer in terms of ℼ .

Answers

Answer:

18.17 × pi in²

Step-by-step explanation:

there are many seemingly different formulas out there for this, but they are actually all the same and differ only by what values of the cone we know at the beginning (and the custodian values are converted into the values we need for the calculation).

do we know the base area and the height of the cone, or the radius and the height, or the base area and the slant height (the length of the "mantle" straight from the bottom to the top), ... ?

well, here we know the diameter (this means it is 2 times the radius) and the slant height.

this is one of the easiest exercises.

the formula for this case is

LA = pi × radius × slant height = pi × (4.6 / 2) × 7.9 =

= pi × 2.3 × 7.9 = 18.17 × pi in²

Ellie surveyed her friends, asking each of them, "How many times have you been to the zoo?" The resulting data set has a distribution that can be described several ways.

Select from the drop-down menus to correctly complete the statements about the distribution.

The distribution can be described by its shape. If the line plot is bell-shaped, the distribution is
Choose...
.

The distribution can be described by its center. If the distribution is bell-shaped, the
Choose...
is an accurate measure of center.

The distribution can be described by its spread. If the data set has an outlier, the
Choose...
is an accurate measure of spread.

Answers

Answer:

Normal Mean or meidian IQR

Step-by-step explanation:

I hope this helps my sister needed the same thing

Answer:

Step-by-step explanation:

The distribution can be described by its shape. If the line plot is bell-shaped, the distribution is: Normal

The distribution can be described by its center. If the distribution is bell-shaped, the mean or median is an accurate measure of center.

The distribution can be described by its spread. If the data set has an outlier, the IQR is an accurate measure of spread.

Brainlist

Can I get help with Number 4?

Answers

Answer:

210 marchers

Step-by-step explanation:

five sevenths times 294 is 210

Can someone please find C. Ive been at it for a long time and its bothering me

Answers

Answer:

C(8, -16)

Step-by-step explanation:

Line L has equation x + 2y = 16.

Solve for y.

2y = -x + 16

y = -(1/2)x - 8

Point B is on the x-axis, so its y-coordinate is 0.

x + 2y = 16

x + 0 = 16

x = 16

The coordinate of point B are (16, 0).

y = (-1/2)x + 8

The y-intercept of line AB is (0, 8).

E(0, 8)

AE = EB

From point B to point E, go 16 units left and 8 units up.

E(0, 8)

From point E to point A, also go 16 units left and 8 units up.

A(-16, 16)

Line M is perpendicular to line L, so the slope of line M is 2.

The equation of line M is

y = mx + b

m = 2

y = 2x + b

Line M includes point A(-16, 16)

16 = 2(-16) + b

b = 48

y = 2x + 48 (Equation of line M)

The x-intercept of line M is where y = 0.

0 = 2x + 48

2x = -48

x = -24

Point D has coordinates (-24, 0).

Since line DC is parallel to line L, to go from point D to point C is the same as going from point A to point B.

Go right 32 and down 16.

(-24, 0) becomes (8, -16)

C(8, -16)

I bought 10 bananas. Each bonana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much did I pay?​

Answers

Answer:

$ 3.25

Step-by-step explanation:

During the first year of opening his law firm, a lawyer served 46 clients. In the second year, his number of clients grew to 62. If a linear trend continues, write an equation that gives the number of clients c the lawyer will have t years after beginning his firm.

Answers

Answer:

There were 3 associates and 5 partners in the case.

Since a law firm is going to designate associates and partners to a big new case, and the daily rate charged to the client for each associate (A) is $ 500 and the daily rate for each partner (P) is $ 1000, and the law firm assigned a total of 8 lawyers to the case and was able to charge the client $ 6500 per day for these lawyers' services, to determine the equation that represents the total number of lawyers on the case, and to effectively determine these numbers, the following calculations must be made:

A + P = 8

500A + 1000P = 6500

1000 x 8 = 8000

8000 - 6500 = 1500

1500/500 = 3

3 x 500 + 5 x 1000 = 6500

Therefore, there were 3 associates and 5 partners in the case.

Which function has the greatest y-intercept?

Answers

Answer:

f(x)

Step-by-step explanation:

Because f(x) = 4x + 5

Answer:

f(x)

Step-by-step explanation:

g(x) intercept Is shown to be 2

f(x) if u sub 0 into x to find the y intercept gives you 5

h(x) I you sub 0 into the equation in place of x to find the y intercept it gives you -1.84

and if you look at all ghe y intersect values f(x) is the greatest

Evaluate. 5/6 + 1/3 + 1/12 = ?

Answers

Answer:

The answer i got was 5/4 or 1 whole & 1/4 aka 1 1/4

Step-by-step explanation:

Answer:

[tex]5/4\ or\ 1 \frac{1}{4}[/tex]

Step-by-step explanation:

Step 1:  Determine a common denominator

Looking at the bottom of the fractions, also known as the denominator, we see that we are given 6, 3, and 12 which all can be multiplied to have the denominator as 12.

Step 2:  Convert the fractions to have a common denominator

[tex]5/6 * (2/2) = 10/12[/tex]

[tex]1/3 * (4/4) = 4/12[/tex]

[tex]1/12 * (1/1) = 1/12[/tex]

Step 3:  Add up the fractions

[tex]10/12 + 4/12 + 1/12[/tex]

[tex]15/12[/tex]

[tex]5/4[/tex]

Step 4:  Convert to mixed fraction

[tex]5/4[/tex]

[tex]4/4 + 1/4[/tex]

[tex]1 + 1/4[/tex]

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

Anwer:  [tex]5/4\ or\ 1 \frac{1}{4}[/tex]

The figure shows a carpeted room. How many square feet of the room are carpeted?

A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 6 feet. The side on the left is labeled 8 feet. The base is labeled 2 feet, and the side adjacent to it on the right is labeled 3 feet

24 square feet
28 square feet
34 square feet
36 square feet

Answers

Answer:

36 square feet

Step-by-step explanation:

Check the attachment for the missing sides.

1) We calculate the missing sides by subtracting one of the similar sides with the longest one possible. In this case, 6 - 2 = 4 and 8 - 3 = 5.

2) Strikethrough the compound shape, creating two shapes; then, label them. Check the diagram attached.

3) Now, let's find the area of each of the squares; and then, add them.

Shape A:

= 4 × 5

= 20

Shape B:

= 2 × 8

= 16

Total:

= 20 + 16

= 36 feet²

Answer:36

Step-by-step explanation:cause i did the test and got it right.

hope this helps.

Plissss helP meee!!!!!
Question 10 of 10
Which is the graph of the parent function f(x) = |x|?
10
X
-10
10
O A.
-10

Answers

Answer:

Graph B

Step-by-step explanation:

f(x) = | x |This means that regardless of the x-input you enter, the y-output will always be positive, as indicated by the modulus, which refers to the absolute valueGraph B shows the correct graph

money must serve as...?

Answers

Answer:

currency? . . . . . ........

Help help help help math math

Answers

Answer:

negative 14 x≥-×>-14

Step-by-step explanation:

i know you didn't understand but it's correct :>

answer is:. -28 means ,negative >-28

Help picture below problem 6

Answers

The total sum of angles in triangle must equal 180
So 180-31-23= 126

Also a flat angle like F is 180 degrees. So 180-126 = 54 for the question mark side.

2 Luna is 5 feet tall. How tall is she in centimeters? There are about 2.5 centimeters in
an inch.

Answers

Answer:

Luna is 150 centimeters tall

Step-by-step explanation:

Step 1:  Determine the height in inches

5 feet * (12 inches / 1 feet)

60 inches

Step 2:  Convert to centimeters

60 inches * (2.5 centimeters / 1 inches)

150 centimeters

Answer: Luna is 150 centimeters tall

if the vertex of an angle is on the edge of a circle

Answers

Answer:

When we say an angle is on a circle, we mean the vertex is on the edge of the circle. One type of angle on a circle is the inscribed angle (see Inscribed Angles in Circles). Another type of angle on a circle is one formed by a tangent and a chord.

Find the positive constant c that makes the quadratic the square of a binomial.

x^2+cx+25

Help would really be appreciated. put it up for 50 points

Answers

Answer:

I think its 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Outline

You could have 2 values. The way to get them is to take the square root of 25, c is double the value you get for the first step.  Why 25? Well you only have 1 other choice and that is the 1 that is in front of the x^2. That's not very helpful.

Formula

c = ± 2*sqrt(25)

Solution

c = ± 2 * sqrt(25)

c = ± 2 * 5

c = ± 10

Comment

Where does the ± come from?

You need to get + 25

If you have (x - 5)(x - 5) the last term will be -5 * - 5 = 25

Similarly you get the same result with (x + 5)(x + 5)

Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.7 inches.

If an image is 17 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary.
A.
368 millimeters
B.
1,439 millimeters
C.
78.5 millimeters
D.
1.3 millimeters

75 points!!!!!!!!!

Answers

17 centimeters is the smallest you’ll have in school 12

4. At sunset (4:52 p.m.) the temperature
reading was - 7º. During the night a cold
front passed through and the reading at
sunrise (6:58 a.m.) was -22°. Which of
the following describes the change
in
temperature?
-
(1) -29
(2) - 15
(3) +14
(4) +15
(5) +29

Answers

Answer: -7

Step-by-step explanation:

-22 -(-7)

-22 + 7

-15

Since the temperature got colder, your answer is going to be a negative number.

which rectangle has the greatest area?

A: Rectangle A that is 3.25 inches wide and 6.1 inches long or

B: rectangle B that is 4.06 inches wide and 5.009 inches long.

Answers

Answer:

Rectangle B

Step-by-step explanation:

Rectangle A:

L × B

3.25 × 6.1

19.825 inches

Rectangle B:

L × B

4.06 × 5.009

20.33654 inches

1⁄5 × 4⁄7 × 3⁄4=?
I will give brainliest if you are correct

Answers

Answer:

[tex]\frac{3}{35}[/tex]

Start with 1/5 × 4/7

[tex]\frac{1}{5} *\frac{4}{7} = \frac{1 * 4}{5 * 7} = \frac{4}{35}[/tex]

Preserve [tex]\frac{4}{35}[/tex] as x, it will be of good use in just a moment.

[tex]\frac{4}{35} = x[/tex]

Multiply x([tex]\frac{4}{35}[/tex]) by [tex]\frac{3}{4}[/tex]

[tex]x * \frac{3}{4}[/tex]

To do this, you have to substitute the numerator(4) as x, and the denominator(35) as y.

[tex]\frac{x(4) * 3}{y(35) * 4} = \frac{12}{140}[/tex]

Simplify using the LCD Least Common Denominator.

[tex]\frac{12 / 4}{140 / 4} = \frac{3}{35}[/tex]

_______________________________________________________

And with that information, your final answer is [tex]\frac{3}{35}[/tex]

_______________________________________________________

What have we learned?

We learned how to multiply fractions using different denominators, and multiple parameters.

Questions related to this topic? Ask me in the comments box.

PLEASE HELP WORTH 30 POINTS PLEASE DONT TYPE RANDOM STUFF I WILL REPORT​

Answers

Answer:

4 8 12 9

Step-by-step explanation:

it's easy as heck like

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

5 and 6

2 and 8

Step-by-step explanation:

Supplementary means that the angles add up to 180°

1 and 4 are vertical angles and they are equal.

3 and 6 are alternate interior angles and they are equal.

Which model represents this word problem? Tom read 12 pages of a book. There are 30 pages left to read. How many total pages are in the book?

Answers

Call the total amount of books TT - 30 = 12T = 30 + 12 = 42

Answer:

there are 42

Step-by-step explanation:

because 12 + 30 = 42 hope this helps =)

Samantha is going to use 80 one-inch cubes to build a rectangular prism. She wants the height of the rectangular prism to be 4 inches, and she wants the width to be less than the length. How many rectangular prisms with different dimensions could she build?​

Answers

Answer:

3

Step-by-step explanation:

Promise

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