The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Which measurement is the closest to the length of CD in units? A. 2 units B. 3.5 units C. 4 units D. 4.5 units​

Answers

Answer 1

The measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2}[/tex]

The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Put the values of coordinate point in the above formula as,

[tex]D = \sqrt{(4-2)^2 + (9-5)^2}\\D = \sqrt{2^2 + 4^2}\\D = \sqrt{4 + 16}\\D=4.47\\D\approx4.5\rm\; units[/tex]

Thus, the measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.

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Related Questions

If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters

Answers

Answer:

Step-by-step explanation:

Formula

The formula for perimeter is

P = 2L + 2w

Givens

Let the width = w

Length = 3w + 4

P = 80 cm

Solution

P = 2L + 2w

80 = 2(3w + 4) + 2w          Remove the brackets

80 = 6w + 8 + 2w              Combine

80 = 8w + 8                        Subtract 8 from both sides

80-8 = 8w + 8-8                 Combine

72 = 8w                               Divide both sides by 8

72/8 = 8w'8

9 = w

Answer

w = 9

L = 3*w + 4

L = 3*9 + 4

L = 31

(3×10^6)+(3×10^6)
give your anwser in standard form.​

Answers

Answer:

Solve in parenthesis first(exponents:

(3 x 10^6) + (3 x 10^6)

Will be:

(3 x 1,000,000) + (3 x 1,000,000)

Multiply in the parenthesis:

(3,000,000) + (3,000,000)

Add them:

= 6,000,000

Standard form:

6 x 6^10

Use the order of

PEMDAS:ParenthesisExponentsMultiplicationDivisionAdditionSubtraction!

Write the absolute value equations in the form |X-B|=C (where B is a number and C can be either number or an expression) that have the following solution sets X=15

Answers

Answer:

|x - 15| = 0

Step-by-step explanation:

|x - 15| = 0 ⇔ x - 15 = 0 ⇔ x = 15

I need help asap pls

Answers

Answer:

C = 8π

Area = 32π

Step-by-step explanation:

Radius = 4 cm

Circle Circumference Formula: 2πr

C = 2π*4 = 8π cm

Area Circle Formula: 2πr^2
Area = 2π*4^2 = 2π*4*4 = 2π*16 = 32π cm

G is the set of odd natural numbers that are less than or equal to 11

Answers

Answer:

G = {1, 3, 5, 7, 9, 11}.

Step-by-step explanation:

All natural numbers less than or equal to 11

are  1 2 3 4 5 6 7 8 9 10 11

We pick out the odd numbers from this list.

Is the graph increasing, decreasing, or constant where -3 < X < -1?

Answers

Answer:

{xI-3<x<-1}

Step-by-step explanation:

In math, do you still distribute even the number is behind the parentheses?

For example:

(2x+3)5+23

Would you still distribute the 5?

Answers

The answer is YES!
You’re gonna have 10x+15+23
Then 10x + 38
And then you are doing next (2x+3) •5 + 23
So you have 2(5x+19)
Yes you would distribute the 5 typically following the steps of pemdas

What’s the center of a circle also called?

Answers

the focus of the circle

hope it helps...!!!

The student council at Douglass High School is selling shirts for spirit week. So far, they have sold 58 long-sleeve shirts: 24 on Monday and 34 on Tuesday. Short-sleeve shirts have been less popular: they sold 18 of them on Monday and 25 on Tuesday. The student council earned $480 on Monday and $675 on Tuesday.
24x+18y=480
34x+25y=675
Now solve the system of equations you selected. What is the price of a long-sleeve shirt?

Answers

The student council sold long sleeve shirts for $12.50 and short sleeve shirts for $10.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the cost of long sleeve and y represent the cost of short sleeve, hence:

24x + 18y = 480     (1)

Also:

34x + 25y = 675    (2)

From both equations:

x = 12.5, y = 10

The cost of long sleeve shirts was $12.50 while short sleeve was $10 each.

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3. Why is it helpful to work out long division problems with order and consistency?​

Answers

[tex]\mathbb{ANSWER:}[/tex]

Long division helps in breaking the division problem into a sequence of easier steps. Just like all division problems, a large number, which is the dividend, is divided by another number, which is called the divisor, to give a result called the quotient and sometimes a remainder.

Hope is Help!

Standardized Test Practice
5. What is the least common denominator
A) x
C) (x + 2)(2x + 3)
B) x(x + 2)
D) x(x + 2)(2x + 3)

Answers

The least common denominator A) X


which answer is equivalent to 5/12
A 0.416
B. 0.6
C.0.417

Answers

Answer:

A

Step-by-step explanation:

5/12 as a decimal is 0.416

Answer:

the answer is a

Step-by-step explanation:

if you convert 5/12 as a decimal it would be 0.4167 or 0.416

Ally and Christian bought 4 pounds of butter and 2 pounds of chocolate chips for cookies. How many ounces of products did they purchase?

Answers

Answer: 96

Step-by-step explanation: Multiplying by 16 (6 × 16)

I WILL GIVE BRANLIEST IMAGE BELOW

Answers

Since the two horizontal lines are parallel, 4x+7=75

4x=68

x=17 or 17º

Answer:

x = 17

Step-by-step explanation:

(4x + 7) must equal 75

75 - 7

= 68

4x = 68

4x/4 = 68 /4

x = 68/4

x = 17

cubic
The volume of the cylinder shown is about
2 m
meters.
12 m
Round to the nearest tenth.

Answers

Answer:

rephrase your question please

PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work

Answers

Answer:

12.72

2.65/5 = 0.53

0.53x24= 12.72

Step-by-step explanation:

The Copper River school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected seventh- and eighth-grade classes,
Number of students in randomly Mean Mean absolute
selected class
deviation
Seventh 30, 31, 32, 34, 38
33 24
grade
Elghth 26, 27, 29, 32, 36
30
grade
3.2
Based on these data, which statement is true?
A. The average size of an eighth-grade class is smaller and varies
less than that of a seventh grade class.
B. The average size of an eighth grade class is smaller and varies
more than that of a seventh grade class.
C. Every seventh grade class has 3 more students than an eighth
grade class

D. The recommended number of students in an eighth-grade class is 30

Please help first to answer and the answer is correct will get brainlist list and a lot of points so please hurry and answer!!!

Answers

The correct statement is A that is The average size of an eighth-grade class is smaller and varies less than that of a seventh-grade class.

What are mean?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations.

The mean of the seventh grade is given as 33.

The mean of the eighth grade is given as 30.

The correct statement is A because the mean absolute deviation of an eighth-grade class is less than that of a seventh-grade class.

Also, the class size is larger on average for seventh-grade classes (33 > 30).

Learn more about mean;

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Which table represents a linear function?

Answers

Answer:

The last table.

Step-by-step explanation:

We can see that the last table is the only table that has y values that go up by the same value each time. If x goes up by 1, y goes up by 5. Therefore, the last table is the only table that represents a linear function.

What is the radius of a cone whose volume is 50 cubic units and whose height is 6 units?

Answers

Answer:

Radius = 2.8

Step-by-step explanation:

V = 1⁄3 πr² × h

50 = 1⁄3 πr² × 6

50 = 1⁄3 × 22⁄7 × r² × 6

50 = 22⁄21 × r² × 6

50 = 22⁄21 × 6 × r²

50 = 6.286 × r²

50 = 6.286r²

50/6.286 = 6.286r²/6.286

r² = 7.954

r = √7.954

r = 2.820

Other answers

Answer:

radius r = 2.82094792 m

height h = 6 m

slant height s = 6.63006389 m

volume V = 50 m3

lateral surface area L = 58.7574113 m2

base surface area B = 25 m2

total surface area A = 83.7574113 m2

What is the vaule of the expression when x=3

Answers

Answer:

If x = 3, then,

[tex]8x\\= 8\times(3)\\=\boxed{ 24}[/tex]

Answer:

the answer is 24

Step-by-step explanation:

Expression is given: 8x

x= 3

∴ 8*3= 24

So 24 is the answer. Hope it helps!!

A shape is made by these three squares. What is the perimeter of new shape below:​

Answers

Do you have any measurements?

Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

Find the slope

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

Write in point-slope form using (4.2)

y - 2 = 3 ( x - 4)

y-2 = 3x-12

y=3x-10

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meter per second, while the cat can run at a speed of 24 meters per second. How soon will they meet if they simutaneously start running towards each other?

Answers

Answer:

They'll meet after 200 meters , if they simultaneously start running towards each other.

Step-by-step explanation:

Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.

Dog: Distance =Speed x time: x=30t

Cat: Distance = 200-x

=24t

The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs

So they will meet after 3.7 seconds

To check:

Distance travelled by dog :x=30(3.7)

=111.11 meters

Distance travelled by cat: 24t=24(3.7)

=88.89 meters

Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89

=200 meters

The function f(x)is shown in the graph.

What is the equation for f(x)?

Answers

Answer:

(-5/6)x - 1

Step-by-step explanation:

the equation is given by: y = mx + b

m = slope

b = y intercept

m = -5/6

y intercept = -1

f(x) = (-5/6)x - 1

Find the equation of the line shown

Answers

Answer:

make me brainliest

Step-by-step explanation:

y=8x

Answer:

y = -x + 9

Step-by-step explanation:

the equation of a line is given by y = mx + b where m Is the slope and b is the y intercept.

as shown in the graph, the y intercept is 9.

how to find the slope:

the slope is rise over run and as we can see that the points move down once and to the right once at every exact point. hence, the slope is -1.

the equation: y = -x +9

make sure to ask if you need any further guidance :)

5 Anita is using 36 cards to set up a card game. She wants to make
an array with the same number of cards in each row.
What are all the different ways Anita could arrange the cards?
Describe all the different ways.

Answers

Answer:

box is there so I'll put the money in the post

4x²+4x-24 step by step

Answers

Answer:

factored form = 4(x−2)(x+3)

Step-by-step explanation:

4 is a factor of the entire equation so factor it out and it will leave U with the answer

I need help to find the measures and lengths of these arcs

Answers

Answer:

Step-by-step explanation:

i)14π/9

ii)91π/18

iii)77π/9

iv)140⁰

Q1 - Find the circumference of following circle. Take π = 3.14

A-18.84 units
B-47.3 units
C-72.22 units
D-47:1 units

Answers

Answer:

The circumference of the circle is C-72.22 units

Step by step explanation-

Given-

Diameter of circle (d) = 23 units π = 3.14

Now,

[tex] \mathfrak {circumference \: of \: circle = \pi d }[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 23[/tex]

[tex] \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ = 72.22 \: units}[/tex]

Hey ! there

Answer:

Option C - 72.22 units is the correct answer .

Step-by-step explanation:

In this question we are given with diameter of circle that is 23 units and value of π as 3.14 . And We are asked to find the circumference of circle.

We know that ,

[tex] \qquad \qquad \: \underline{\boxed{\frak{ Circumference = \pi d}}}[/tex]

Where ,

π = 3.14

d = diameter of circle

Solution : -

[tex] \longrightarrow \qquad \: 3.14 \times 23[/tex]

By multiplying 23 with 3.14 we get :

[tex] \longrightarrow \qquad \: \red{ \underline{\boxed{\frak{72.22}}}}[/tex]

Henceforth , circumference of circle is 72.22 units .

#Keep Learning

(45 x 54)/5
What is the answer?

Answers

Answer:

486

Step-by-step explanation:

Answer:

486

45x54=2430

2430/5 is 486

Step-by-step explanation:

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