The coordinates of the vertices for rectangle ABCD are A (2,4), B (6,10), C (9,8) and D (5,2). What
is the length of a diagonal (AC or BD) of the rectangle?

A √13

B √52

C √60

D √65

Answers

Answer 1

Answer:

D. [tex]\sqrt{65}[/tex]

Step-by-step explanation:

The computation of the  length of a diagonal (AC or BD) of the rectangle is shown below:

As we know that

The Diagonal length of AC is

[tex]= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2[/tex]

[tex]= \sqrt{49 + 16}\\\\= \sqrt{65}[/tex]

Therefore correct option is D.


Related Questions

Graph the inequality on the axes below.
3x +y > -7

Answers

Step-by-step explanation:

use desmos it's a graphing calculator just put in the equation

Anyone help with this one???

Answers

Answer:

translation left 5 units

﹛(-4,3), (-2,-1), (0,0), (1,4), (2,6)﹜Given this set, what is the domain?

Answers

The domain is the set of all the values of x . The range is the set of all the values of y .
Domain : {-4 , -2 ,0 ,1 }
Range : { 3 , -1 , 0, 4 }

Solve the system by substitution. -8.x --- 3y -2x + 1 = y Submit Answer​

Answers

Step-by-step explanation:

Use special right triangle properties to solve for the missing sides.
12
309
X
O x-24;y - 4
Ox=8:y= 4
O x - 413 : y = 873
O y = 473 ; x = 8/3

Answers

Answer:

cos30=12/x

√3/2=12/x

x=12×2/√3=24√3/3=8√3

sin30=y/x

1/2=y/8√3

1/2×8√3=y

y=4√3

Mean, Median, Mode and Range. Easy hard math. Please show work and give answers . Need help appreciate you all

Quiz Scores:
You and your friend are having a friendly competition about the scores on your math quizzes. Both of your scores for the first five quizzes are given below:
Your quiz scores: 18, 16, 19, 15, 17
Friend’s quiz scores: 20, 20, 13, 12, 17
a. Find the mean, median, and mode of both sets of data.
b. Which person – you or your friend – has the higher mean?

World Populations:
The populations (in millions) in 2000 on each of the six inhabited continents were:
803, 487, 348, 368, 730, and 31
a. What is the range of the populations?
b. Find the mean, median, and mode(s) of the populations.

Tomato Plants:
The heights (in inches) of eight tomato plants are:
36, 45, 52, 40, 38, 41, 50, and 48
a. What is the range of the tomato plant heights?
b. Find the mean, median, and mode(s) of the tomato plant heights.

Answers

Answer:

:)

Step-by-step explanation:

quiz scores:

a. arrange them all from least to greatest to figure out the median first

your quiz: 15, 16, 17, 18, 19     middle # = 17        median = 17

friend's quiz: 12, 13, 17, 20, 20     middle # = 17       median = 17

now for mean add all of your quiz scores up and divide by how many #s

15 + 16 + 17 + 18 + 19 = 85 / 5 = 17          mean = 17

now your friend's:

12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4       mean = 16.4

mode is which number is used the most

your mode = you don't have a mode       your friend's mode = 20

b. you have a higher mean than your friend

world populations:

a. range is to subtract the smallest number from the largest

803 - 31 = 772

b. mean is adding it all up and dividing by how many numbers there are:

803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17

median is arranging them in order and finding the middle #

31, 348, 368, 487, 730, 803

368 + 487 = 855 / 2 = 427.5

mean = 461.17

median = 427.5

mode = no mode

tomato plants:

a. range is subtracting the smallest from the largest

52 - 36 = 16

b. mean is adding all the #s and dividing by how many #s there are:

36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75

median is the middle from least to greatest

36, 38, 40, 41, 45, 48, 50, 52

41 + 45 = 86 / 2 = 43

mean = 43.75

median = 43

mode = no mode

hope this helps! :)

Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)

Answers

Answer:

160 feet

Step-by-step explanation:

In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:

5,280 (the number of feet in 1 mile) / 33

5,280/33=160

The posts are 160 feet apart from each other.

HTH :)

Which equation represents a line which is parallel to the line 7x - y = 4?

Answers

Answer:

Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.

7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.

Pls help math!!!!!!!

Answers

the answer should be “C” or your third option! :)

The ratio of white mice to gray mice for sale at the pet store is 5 to 2. There are 24 grey mice. What is the total number of mice for sale at the pet store?
F.62 H.210

G.150 J.84

Answers

Answer:

the ratio of black mice*

Step-by-step explanation:

Please help me asap!!

Answers

Answer:

the second one ( - 3, -6)

Step-by-step explanation:

I used the method of substitution

Answer:

(-3, -6)

Step-by-step explanation:

A semicircle was cut from a square sheet of blue construction paper . What is the area of the remaining blue construction paper as seen in the figure? (Do not include units)

Answers

Answer:

60.73cm

Step-by-step explanation:

10cm=diameter so raduis of circle=5cm

area of full circle=78.5398...

area of semicircle=39.2699...

area of square=100cm

100-39.26990817=60.73 cm

I need help solving these two questions
3x-5x=0
x-5x=-10

Answers

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Need help due in 10 mins pls

Answers

Where’s the problem u need to either add a photo or write the question

help me pls!!!!!! which option

Answers

it 1/x^5
hope that helps

Answer:

Step-by-step explanation:

That x in the denominator has a power of 1 even if its not visually there. When you multiply exponents, you add them.

[tex]x^1*x^-^2=x^-^1[/tex]

Now you have this

[tex]x^-^6/x^-^1[/tex]

When you divide exponents, you subtract them

[tex]x^-^5 = 1/x^5[/tex]

Jason has 34 raspberry scones and 51 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can​ fill? Explain how you know.

Answers

Answer: The greatest number of bags Jason can​ fill = 17

Step-by-step explanation:

Given: Jason has 34 raspberry scones and 51 blackberry scones.

To make identical bags of scones as possible.

Each bag should have an equal number of raspberry scones and an equal number of blackberry scones.

The greatest number of bags Jason can​ fill = Greatest common divisor of 3

and 51.

= 17     [Since 34 = 2 x 17 , 51 = 3 x 17]

Hence, the greatest number of bags Jason can​ fill = 17

Solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
x=
y=

Answers

picture has full answer

Answer:

The solution is:

x=3

y=4

Step-by-step explanation:

We need to solve this system using the substitution method.

2x + 2y = 14

y = 3x - 5

Substitution method involves placing value of x or y from one equation to other equation.

We have:

[tex]2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)[/tex]

We will put value of y from equation 2 into equation 1.

[tex]2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=\frac{24}{8}\\x=3[/tex]

So, we get x =3

Now, put value of x in equation 2 to find value of y

[tex]y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4[/tex]

So, we have y = 4

The solution is:

x=3

y=4

What is the first step in evaluating the expression 6−(4÷2×5)2?

Answers

Answering inside the parentheses

Step-by-step explanation:

Do

(4÷2×5)

first

.............

The drawing below represents a 22-foot ladder with its base placed 10 feet from the bottom of a vertical wall.

which value is the best estimate for x?


a.24.3

b.63.0

c.27.0

d.65.6

Answers

Answer:

63°

Step-by-step explanation:

To get the value of x we will use the Pythagoras theorem

hyp² = opp²+adj²

Given

hyp is the length of the ladder = 22ft

Adjacent is the distance from the base of the ladder to the wall = 10ft

Angle of elevation = x

Using the SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos x = 10/22

Cos x = 5/11

x = arccos(5/11)

x = arccos(0.4545)

x = 62.96°

Hence the best estimate of x is 63°

The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.​

Answers

Answer:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Step-by-step explanation:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

Answers

Given:

The inequalities are:

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

[tex]-2<x<3[/tex]

[tex]-2\leq x<2[/tex]

For [tex]-2<x<3[/tex], the possible integer values are

[tex]x=-1,0,1,2[/tex]          ...(i)

For [tex]-2\leq x<2[/tex], the possible integer values are

[tex]x=-2,-1,0,1[/tex]        ...(ii)

The common values of x in (i) and (ii) are

[tex]x=-1,0,1[/tex]

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.

Pls help me I’m not that smart at fractions

Answers

Answer:

Step-by-step explanation:

5/8

you need to add all numerators, same denominator

5/8 because the denominator is the same, so you can just add 1+1+1+1+1 and put that over 8 (confusing)

Deja, Ryan, and Jamie walked in the same race on Friday. their race was 1/4 the length of Alex's 20-kilometers race on Sunday. How many more meters did Alex than Deja and Jamie walked together.


1 kilometer=1,000 meters

Answers

Answer:

Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km

Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m

Step-by-step explanation:

The low temperature in City A is -8°F. The low temperature in City B is -12°F Complete the statement below​

Answers

Answer:

City B is 4 degrees colder than City A

Step-by-step explanation:

When in degrees negatives a much colder. So if the number is negative the higher the number the colder the tempeture.

Have a great day!

Hope this helps!

PLEASE MARK BRAINLIEST.

(-)*(-)*(-)
a. +
b. -
c. 0

pls help

Answers

Answer:

b. -

Step-by-step explanation:

Note the rules of multiply/dividing negative numbers:

1) A positive number multiplied/divided by a positive number = a positive answer.

2) A positive number multiplied/divided by a negative number (and vice versa) = a negative answer.

3) A negative number multiplied/divided by a negative number = a positive answer.

~

Note the question.

The first part is multiplying a negative number with a negative number:

(-) * (-) = (+) , based on the rules given above.

Next, multiply the next number. Note that it is also a negative number:

(+) * (-) = (-) , based on the rules given above.

b. - is your answer.

~

A designer makes a model of a patio using inch square tiles. Each 1 inch square tile = 4
square feet. What area is represented by the 8 x 6 model?
96 square feet
]} in.
92 square feet
384 square feet
56 square feet
each žin. tile = 4 sq.ft.
Done-

Answers

Answer:

yes

Step-by-step explanation:

Find the measure of each interior angle.

Answers

Answer:

d) m<J = 115, m<K = 130, m<M = 50, m<N = 65

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360

if we add all the given angles 7x + 10 = 360 subtract 10 from both sides

7x = 350 divide both sides by 7

x = 50 to find the measure of each angle replace x with 50

(x + 13y) + 8y=
:\ This is so confusing

Answers

Answer:

x+21 y

Step-by-step explanation:


+
2
1

hope i could help you :)

how far does the train go in 100 minutes

Answers

Answer: It definitely depends  

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B

Answers

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

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