3. A square has vertices (0,0),(5,2).(3,7), and (-2,5). Which of these statements is true?

A. The square's side length is 5.

B. The square's side length is between 5 and 6.

C. The square's side length is between 6 and 7.

D. The square's side length is 7

Answers

Answer 1

Answer:

B. The square's side length is between 5 and 6.

Step-by-step explanation:

We are given a square with vertices

A(0,0), B(5,2), C(3,7), and D (-2,5)

We solve using the Formula

√(x2 - x1)² + (y2 - y1)²

Where we have (x1, y1) and (x2, y2)

For AB

A(0,0), B(5,2)

= √(5 -0)² + (2 - 0)²

= √5² + 2²

= √25 + 4

= √29

= 5.3851648071

For BC

B(5,2), C(3,7),

= √(3 - 5)² + (7 - 2)²

= √-2² + 5²

= √4 + 25

= √29

= 5.3851648071

For A D

A(0,0),D (-2,5)

√(-2- 0)² + (5 - 0)²

= √-2² + 5²

= √4 + 25

= √29

= √5.3851648071

For CD

C(3,7), D (-2,5)

√(-2 - 3)² + (5 - 7)²

= √-5² + -2²

= √25 + 4

= √29

= 5.3851648071

The lengths of the sides of the square is equal to each other.

Therefore, the statement that is true about this square is option

B. The square's side length is between 5 and 6.


Related Questions

The sum of three consecutive integers is 171. What are the​ integers?

Answers

Answer:

56,57,and 58

Step-by-step explanation:

Therefore, three consecutive integers that add up to 171 are 56, 57, and 58.

Answer:

56, 57, 58

Step-by-step explanation:

x+x+1+x+2=171

3x+3=171

3x=168

x=56

56, 57, 58

Which expression represents the prime factorization of 84?
A. 2 x 2 x 7
B. 2 x 6 x 7
C. 2 x 2 x 3 x 7
D. 2 x 2 x 3 x 3 x 7
Just say the letter.

Answers

Answer:

The expression represent the prime factorization of 84 is B

Step-by-step explanation:

2×6×7

=84

Answer:

B. 2 x 6 x 7

Step-by-step explanation:

its the prime factorzation

The lunch lady pushes a 100 kg zombie with 300 N of force. How much is the zombie accelerated?

Answers

Answer:

-2/2  -0.1  1/9

Step-by-step explanation:

We have that for the Question "The lunch lady pushes a 100 kg zombie with 300 N of force. How much is the zombie accelerated?" it can be said that How much is the zombie accelerated  is mathematically given as

a=3m/s^2

From the question we are told

The lunch lady pushes a 100 kg zombie with 300 N of force. How much is the zombie accelerated?

Generally the equation for the Force is mathematically given as

F=ma

Therefore

300=100*a

a=3m/s^2

Therefore

How much is the zombie accelerated  is mathematically given as

a=3m/s^2

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Graph the inequality - 2x + y<-5
please help

Answers

Answer: The website I'm using is called Desmos.

Step-by-step explanation:

-2x + y < -5
+2x on both sides
y = < 2x - 5

Highlight the positive side of the graph since y is ‘less than.’

A rectangular patio has a length of 12 1/12 feet and an area of 103 1/8 square feet. What is the width of the patio?

Answers

Answer:

The width of the rectangular patio is 8 1/4  feet, or as a decimal, 8.25 feet

Step-by-step explanation:

Square root of 214 show work thanks

Answers

√214= 14.6287388383278

Calculator maybe??

I need help please guys ​

Answers

Answer:

1053 people

Step-by-step explanation:

2925 x .36 = 1053

BRIANNA ADDS 2 1/2 POUND CARROTS TO HER SHOPPING CART. SHE THEN TAKES 2 1/2 POUND OF CARROTS OUT OF THE CART. WHAT IS THE OVERALL INCREASE OR DECREASE IN POUNDS OF CARROTS IN THE SHOPPING CART?

Answers

Answer:

The INCREASE is that she adds 2 1/2 pounds of carrots to her shopping cart and the DECREASE is that she removes 2 1/2 pounds of carrots in her shopping cart.

what is the complement of a spinning a multiple of 4

Answers

Answer:

f

Step-by-step explanation:

solve the system of equations using the elimination method
20x=16y-2
4y-2=-5x

Answers

Answer:

jujjjjjjjjjjjjjjjjjjjjjjj

How much does each number need to change for a ten. For 1 hundred?

Answers

wym

do 7 m eww an how many is lhvlh

The function c(x)=6+8x gives the cost in dollars to rent one bicycle for x hours. What is the meaning of c^-1(10) in this situation?

A. The cost of renting bicycles for 10 hrs

B. The cost of renting 10 bicycles

C. The number of hours you can rent a bicycle for $10

D. The number of bicycles you can rent for $10

Please help!!!

Answers

I would say c, I’m pretty sure

how many yards are 2 miles and 30 feet

Answers

Hey there!☺

[tex]Answer:\boxed{3,530}[/tex]

[tex]Explanation:[/tex]

2 miles = 3,520 yards

30 feet = 10 yards

Add up both.

[tex]3,520+10=3,530[/tex]

3,530 is your answer.

Hope this helps!☺

The number of yards for 2 miles and 30 feet by unit conversion is given by the relation A = 3530 yards

Given data ,

Let the total number of yards be represented as A

Now, the value of A is

The initial number of miles = 2 miles

where 1 mile = 1760 yards

So , 2 miles = 3520 yards

From the unit conversion , we get

30 feet = 10 yards

So , the total number of yards A = 3520 + 10

On simplifying the equation , we get

A = 3530 yards

Hence , the unit conversion is solved and total yards = 3530 yards

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What is the closest integer to 105

Answers

Answer:

-105?

Step-by-step explanation:

The closest integer to [tex]105[/tex] should be [tex]104[/tex]!

An Integer is a number that cannot be a fraction nor a decimal. It can be - (Negative) or + (Positive).

What are the dimensions of the matrix?

Answers

Answer:

2 x 3

Step-by-step explanation:

2 rows, 3 columns

1.5/4x-1=0.4/x+4 PLZ HELP PLZ HELP GIVING 7 POINTS

Answers

Answer: x

x =  100 + 32 √10 (15)

Step-by-step explanation: Solve the rational equation by combining expressions and isolating the variable  x.

Answer:

X=64

Step-by-step explanation:

The least common multiple of a number n and 6 is 42. What are all of the possible whole-number values for n

Answers

Answer:

7, 14,21,

Step-by-step explanation:

6 :     (6, 12, 18, 24, 30, 36, 42)

7:       ( 7, 14,21,28,35,42)

14:     ( 14, 28, 42)

21      (21, 42)

the sum of three positive integers is 20 if the smaller 2 integers differ by 5 ,what is the smallest possible value of the larger integer?

Answers

the smallest possible value of the larger integer is z = 9.

what is the smallest possible value of the larger integer?

Let's define the 3 positive integers, from lowest to largest, as:

x, y, and z.

We know that:

x + y + z = 20

And the difference between the two smaller integers is:

y - x = 5

Then we can write:

y = x + 5

Replacing that, we can write:

x + (x + 5) + z = 20

2x + z = 20 - 5

2x + z = 15

If we isolate z, we get:

z = 15 - 2x

Now, our numbers are positive integers, so, if we take x = 1, then:

z = 15 - 2*1 = 13

y = 1 + 5 = 6

Now, we want to get the minimum value of z, then we need to maximize x.

The maximum value of x that we can take (such that x < y < z) is:

x = 3

Then:

z = 15 - 2*3 = 9

y = 3 + 5 = 8

This means that the smallest possible value of the larger integer is z = 9.

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I can’t figure this one out! Someone please help

Answers

Answer:

g= -2x+1

Step-by-step explanation:

-2x because it goes down two boxes for every one box to the right.

+1 because that is the y intercept

i think it’s c because it doesn’t have any decimals or it ain’t a negative. I WILL MARK BRAINLIEST. pls answer asap

Answers

Answer: C is the answer

The quotient of 5i and 2 − i

Answers

Answer:

The quotient of 5i and 2- i is -1 + 2

-1 and 2

Step-by-step explanation:

correct on edg

The quotient of 5i and 2-i is 2i-1.

The given expressions are 5i and 2- i.

What is a quotient?

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

We know that, Dividend ÷ Divisor = Quotient

Now, 5i/2-i

Multiply both numerator and denominator by 2+i

So, 5i(2+i)/(2-i)(2+i)

= (10i+5i²)/4-i²

= (10i-5)/5

= 2i-1

Therefore, the quotient of 5i and 2-i is 2i-1.

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20 + (-4) + 11 + (-1)

Answers

Answer: You could easily put this in a calculator, none of the signs change.

it would be 20 - 4 + 11 - 1

31 - 5

26

Step-by-step explanation:

?% of 73 – 51% of 48 = 26.62. Find the value of question mark (?)

Answers

Answer:

70

Step-by-step explanation:

( X/100)*73 - (51/100)*48=26.62

73x-2438= 2662

73x=5110x=70

simplify 34267 in standard form​

Answers

Answer:

3.4267 × 10^4.

Step-by-step explanation:

When you split the number 34267 into a coefficient and a power of 10 you do get 34267 in exponential form, but there is an indefinite number of possibilities. so basically move the decimal point from in the back of the 7 until u reach the first number which is 3 and count how much step u made to come next to the 3 which is 4 steps so 10^4 HOPE U UNDERSTAND ,AND CAN U give me brainliest for answering please thanks

Find the real solutions of the equation involving fractional exponents: (x+3)^3/2 −8=0

Answers

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex](x+3)^{\frac{3}{2}}-8=0[/tex]

[tex](x+3)^{\frac{3}{2}}=8[/tex]

[tex](x+3)^{\frac{3}{2} \cdot 2}=8^2[/tex]

[tex](x+3)^{3}=64[/tex]

[tex]x+3=\sqrt[3]{64}[/tex]

[tex]x+3=\sqrt[3]{4^3}[/tex]

[tex]x+3=4[/tex]

[tex]x=1[/tex]

PLEASE HELP ILL GIVE BRAINLIEST
can someone help me finish this table please

Answers

Answer:

1st box= 6.

2nd box= 4.

3rd box= 2.

4th box=1.

5th box=5.

6th box=3.

7th box= 7.

Step-by-step explanation:

Molly categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The percents she spent in each category are pictured here.


Rent
27%

Food
21%

Fun
16%

Other
36%


If Molly spent a total of $2800 this month, how much did she spend on rent and food?

Answers

Answer:

750

Step-by-step explanation:

it is to easey

How is adding two negative fractions like adding two positive fractions, and how is it different?

Answers

Answer:

The sum of 2 negative fractions will be negative, and the sum of 2 positive fractions will be positive.  They are similar because if you have the same number, just one positive and one negative, the absolute value of the sum of the 2 problems will be the same.  

Step-by-step explanation:

^

The least common denominator might be the same for both fractions but the result will be different due to their signs

Fractions are represented as the ratio of two integers. For instance, a/b is a fraction where a and b are integers

The sum of two positive fractions will result in a positive fraction while the difference of two negative fractions will result in negative fractions.

For example 1/2 + 1/2 = 1 while -1/2-1/2 = -1

Note that the least common denominator might be the same for both fractions but the result will be different due to their signs

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y ≤ -4(x – 13) – 2 when y = 38?

Answers

Answer:

hear you go

Step-by-step explanation:

y[tex]\leq[/tex]-4(x-13)-2

38[tex]\leq[/tex]-4x+52

x[tex]\geq[/tex]-3.5

:)

y = 4x + 8 and 12x + 3y = 7

Answers

Answer: x is approximately 1.41 (rounded)

Step-by-step explanation:

12x+ 3(4x+8)= 7

12x+12x+24=7

24x+23=7

24x=-17

x is approximately -1.41 (rounded)

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