The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. What is the area of the square?

Answers

Answer 1

Answer:

25units²

Step-by-step explanation:

Given the coordinates of three vertices of a square as A(1, –1), B(6, –1), and C(6, 4). The area of the square is expressed as;

A = L² where;

L is the one of the side length of the square.

Note that all the sides of a square are equal;

To get one of the side length, we will find the distance between any two of the coordinates points. Using the coordinates A(1, –1), B(6, –1)

L = AB = √(x2-x1)²+(y2-y1)²

L = √(6-1)²+(-1-(-1))²

L = √5²+0²

L = √25

L = 5

Area of the square = 5²

Area of the square = 25units²

Hence the area of the square is 25units²


Related Questions

Can you also help me with this one?

Answers

The answer is c) SAS because you can assume that the two triangles have a vertical angle so since there’s two sides, the angle has to be included. Hope this helps
it should be sas since the angle is included in the two sides!

is the product of 8 negative numbers and 7 positive numbers a positive number or a negative number?​

Answers

Answer:

negative

Step-by-step explanation:

Positive numbers do not change the polarity of a number in multiplication, only negative numbers.

A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?

Answers

Answer:

242

Step-by-step explanation:

165 ÷ 15 = 110

110 × 2.2 = 242

The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

A train covers 165 km in 1.5 hours.

The ratio of distance covered to the number of hours is 165/1.5.

Let's say in 2.2-hour train travel x number of km.

The ratio of distance covered to the number of hours x/2.2

Both ratios must be the same,

x/2.2 = 165/1.5

x = 110 x 2.2 = 242 km

Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

−7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven Step 1: He should have added 25 to each side. Step 1: He should have divided both sides by −7. Step 3: He should have divided both sides by −7. Step 3: He should have multiplied both sides by −7.

Answers

Answer:

Step 3: He should have divided both sides by −7

Step-by-step explanation:

Incorrect calculation

−7x + 25 = 48

Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23

Step 3: negative seven times x over seven = twenty-three over seven

-7*x/7 = 23/7

-7x/7 = 23/7

Step 4: x = twenty-three over seven

Correct calculation

−7x + 25 = 48

Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23

Step 3: negative seven times x over seven = twenty-three over seven

-7*x/-7 = 23/-7

-7x/-7 = 23/-7

Step 4: x = twenty-three over negative seven

x = -23/7

Suppose 15% of x equals 20% of y. What percentage of x is y ?

Answers

Answer:

x = [tex]133\frac{1}{3}[/tex] of y

Step-by-step explanation:

Given:

15% of x equals 20% of y

So,

0.15x = 0.20y

so

x = 0.20 y / 0.15

x = 1.3333y

x = [tex]133\frac{1}{3}[/tex] of y

Answer:

Step-by-step explanation:

     

Express your answer in scientific notation. 5.4×10^5 + 6.7×10^4​

Answers

Answer:

The answer is 6.07 x 10^5

Step-by-step explanation:

Answer:

6.07 x 10^5

Step-by-step explanation:

khan

PLZ HELP I WILL GIVE 20 POINTS WHOEVER ANSWERS FIRST:

Answers

Answer:

-2

Step-by-step explanation:

So to find slope you just subtract y^1 - y^2 and divide it by x^1 - x^2

The first point is (2, 1)

The second is (0, 5)

1 is our y^1 and 5 is our y^2

1 - 5 = -4

2 is our x^1 and 0 is our x^2

2 - 0 = 2

So our slope is -4/2, reduced its -2

I hope this helped, please mark Brainliest, thank you!

7. Constructed Response: Work and answer will be scored on a 3-point
rubric. A garden is bordered on three sides by a tiled walkway. (see
diagram below). PART A: Write a polynomial that represents the total area
of the garden AND the walkway combined, in standard form. *
Fence
x ft
x ft
Garden
10 ft
-25 ft
Walkway
x ft

Answers

Answer:

the answer is -25

Step-by-step explanation:

the answer is -25


HELP PLEASE ASAP


Solve for x in the diagram below

Answers

Answer:

29

Step-by-step explanation:

(x+12) + 100 + x = 180

           2x + 112 = 180

Subtract 112 from both sides

                    2x = 58

Divide 2 from both sides

                      x = 29


PLEASE ANSWER ASAP!!!



line g has and undefined slope. If line k contains the point (-6,3) and is parallel to line g, what are the x-coordinates of the other points that lie on the line?

Answers

Answer:

-6 is the x-coordinate value

Step-by-step explanation:

Mathematically, slope can be calculated as;

m = (y2-y1)/(x2-x1)

For the value of the slope to be undefined, it means that we are actually dividing by zero

For us to be dividing by zero, it actually means that there is no change in the x-value

The unchanging x-value is what has caused us to have an undefined slope value

Since line k and line g are parallel, their slopes are equal and the slope of k is undefined too

So the x-coordinates of the other points that lie on the line that we used in calculating the slope is -6

Plssss help 30 point!!!
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.

Answers

Answer:

A) 2

B)109

c) 4

d)71

I'm a hundred percent sure

Step-by-step explanation:

Draw the Venn diagram

300x7065
A tough one can you solve it without looking the answer up or not cheating in any way

Answers

2,119,500
explanation: you multiply

A line has the equation y = 1/3x - 5 . Find the equation of a parallel line passing through the point (3, 2).

Answers

Answer: y=1/3x+1

Y needs to be changed in order to maintain parallelism.

Good Luck!

Answer:

The answer is y=1/3x+1

Step-by-step explanation:

y=mx+b

m=1/3

y-y=m(x-x1)

y-2=1/3(x-3)

y-2= 1/3x-1

+2 +2

y=1/3x+1

HELPP PLEASE !!!!!!!!! ASAP

Answers

Answer:

x² + 5x + 6 = 0

Step-by-step explanation:

The zeros of quadratic function is (- 3) and (- 2)

The coordinates of vertex are (- 2.5, -0.25)  

(x + 3)(x + 2) = 0

x² + 5x + 6 = 0

In standard form 0.0325 is written as?

Answers

Answer:

In standard form 0.0325 is written as 0.0325

In scientific notation it is written as:

[tex]3.25^{ - 2} [/tex]

The standard form of 0.0325 is written as

[tex] = 3.25 \times {10}^{ - 2} [/tex]

Given:

0.0325

Writing in standard form means writing in scientific notation (power of be 10)

When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.

When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.

0.0325

The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2

Therefore,

0.0325

[tex] = 3.25 \times {10}^{ - 2} [/tex]

Read more:

https://brainly.com/question/1766663

Complete this item Simplify square root 32/5​

Answers

Answer:

4√10

     5

Step-by-step explanation:

Answer:

Sorry I know the answer but it won't let me type it the right way

Step-by-step explanation:

On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros

Answers

Answer:

sry

Step-by-step explanation:

i am new to this

174 i think

Answer:

174

Step-by-step explanation:

Which of the following relations is a function?

OA. (9,-10).(-8, 7), (9,6), (-8, 12)

OB. (-8, 0), (-1,5). (-8, -3), (5,9)

OC. (-1,-2), (-8,-5), (5,8). (5,2)

OD. (-8,2).(-1,3), (5,7), (9,2)​

Answers

OD. Is a function because all x inputs are different.

Solve the following formula for
x

y=2mx+3b

Answers

Answer:

X=2m+3b/y. I th ink that the answer.

The x-axis is the ? Axis
The y-axis is the ? Axis
Another name for the point 0,0 is the ?

Answers

Answer:

The x-axis is the HORIZONTAL axis (left to right)

The y-axis the VERTICAL axis ( up and down)

Another name for the point (0 , 0) is the ORIGIN

the x axis is horizontal
the u axis is vertical
another name for the point is origin

What is the solution to this system of equations?
x+y= 6
x=y+4

Answers

Answer:

5,1

Step-by-step explanation:

mark brain if right

Answer: (5,1)
x=5
y=1

Solving Steps:

You have $20 to spend on taxi fare. The ride costs 5 plus $2.50dollar sign, per kilometer.
Write an inequality to determine the distance in kilometers, , you can ride for $20.

Answers

Answer: The maximum distance is 6 km

Step-by-step explanation:Let

d-----> represent the distance in kilometer

we know that

------> inequality that represent the situation

Solve for d

Hdshsshshshhsshdhdhd

Please help much appreciate!

Answers

D I think hope this helps

can someone help me please

Answers

Answer:

6 (x)

Step-by-step explanation:

You are given a various set of values: xbar = 12 ybar = 16 r = .46 Sy = 18 Sx = 6 Find a and b, then write them as an equation for a line. b = a = yhat =

Answers

Answer:

Slope, b = 1.38 ; intercept, a = - 0.56 ;

Y = - 0.56 + 1.38x

Step-by-step explanation:

Given that :

xbar = 12

ybar = 16

r = .46

Sy = 18

Sx = 6

The equation of a line can be expressed as :

Y = a + bx

Where ;

a = intercept ; b = slope ; x = independent variable ; y = dependent variable

The slope b ; can be obtained using the relation :

b = r(Sy / Sx)

= 0.46(18/6)

= 0.46(3)

= 1.38

The intercept a, can be obtained using the relation :

Ybar - b(Xbar)

16 - 1.38(12)

16 - 16.56

a = - 0.56

Hence ;

Slope, b = 1.38 ; intercept, a = - 0.56

Th equation of the line will be :

Y = - 0.56 + 1.38x

what is the square root of 199 lie between

Answers

Hi!

I'm assuming the question means what integers, so let's figure it out.

Starting from 12, 12 squared is 144, or the square root of 144 is 12.

13 squared is 169, or the square root of 169 is 13.

14 squared is 196, or the square root of 196 is 14.

15 squared is 225, or the square root of 225 is 15.

Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.

The square root of 199 it’s 14.10 approximately 14.1

OMGGG CAN YALL ANSWER THIS !

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?​

Answers

Answer:

m                        

Step-by-step explanation:

                                              m

Answer:

There were 140 robberies in Springfield in 2012.

Step-by-step explanation:

Let's marked (named) robberies in 2012 with x, which is worth 100%

196 robberies in 2013 worth 100% + 40% = 140%

Now we will make proportion

x : 196 = 100 : 140

When we multiply external and internal members we get

140 x = 196 · 100 => 140 x = 19600 => x = 19600/140 = 140

x = 140 robberies in 2012

The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?
A. There is a probability that the outcome is within 1 standard deviation of the mean.
B. There is a probability that the outcome is within 3 standard deviations of the mean.
C. There is a probability that the outcome is within 2 standard deviations of the mean.
D. Standard deviations are not reliable, so the probability cannot be determined.

Answers

Answer:

The correct answer is B or option 2.

Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days

Answers

Answer:

B

Step-by-step explanation:

Paul: 54.6/18.2= 3 days

Ryan: 81.6/20.4= 4 days

Answer:

B. 1 day

Step-by-step explanation:

First, we need to find how many days each person practiced for:

Paul- 54.6 ÷ 18.2  = 3

Ryan- 81.6 ÷ 20.4 = 4

4 - 3 = 1, so B is the answer.

I hope this helped, please mark Brainliest, thank you!

Here is the other question
Part A and B are done

A. Lesson
1. Describe the formula for slope in words and with an equation.
M=y^2-y^1/x^2-x^1
1. What is the slope of all horizontal lines? What is the slope of all vertical lines?
The slope of all horizontal lines is 0. The slope of all vertical lines is undefined.


B. Lesson Content
3. Copy and paste the 3-step procedure for finding the slope using the formula.

4. Use Example 3 as your model for the following: In the 2000 census, the population was 8000; in the 2010 census, the population was 7500. Find the rate of growth for the town. Show the 3-step procedure, as well as the final answer in words.
A(200(x1), 8000(y1)) and B(2010(x2), 7500(y2))
M=(y2-y1)(x1-x2)=7500-8000/2010-2000
M=-50=50 people per year decrease



C. Write the slope-intercept (y = mx + b) form of the equation from the information given. Show your steps as done in the lesson content to earn credit.

Answers

Answer:

Step-by-step explanation:

Slope is m

in this case slope is -50

b is the y-int,

in this case the y-int is 8000

so your equation: y = -50x + 8000

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