Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Firstly, I'm not from the USA so I'm not sure if I've understood the question correctly (different phrasing of the question here in the UK), but I hope I've done this right and this helps! :)

Method 1:

I would draw the graph! It makes it easier to visualise. You don't have to do a neat proper graph, just scribble something down. If you then count the number of squares between point A and point B you would get 5.

Method 2:

This is probably a more MATHEMATICAL method, but I think Method 1 or Method 2 are both fine. Since we are only asked about point A and point B, we don't have to think about points C or D. Since this is a rectangle, we know that the line would be straight and would also likely be perpendicular / parallel to the x or y axis. If we compare the coordinates of points A and B, we can see that they both have -6 in them: this shows us that these points are along the same row. So all you have to do is find the difference between the tow other points, i.e. the -8 in A and the -3 in B. -3 minus -8 = 5. So that gives you the length of the side.

I hope this helped, sorry for the lengthy explanation and slightly dodgy vocabulary (?).

Bluey

Answer 2

Answer:

Step-by-step explanation:

You could use distance formula to find the length

A( -8, -6) ; B(-3,-6)

Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AB =\sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\= \sqrt{(5)^{2}+0}\\\\= \sqrt{5^{2}}\\[/tex]

AB = 5 units


Related Questions

When a business company increased its profit from 20% to 25% the amount of profit increased to Rs 26,04,000. If the company decided to distribute 50 % bonus to its 20 employees equally from the increased amount of profit, how much bonus will each employee receive?

Answers

Answer:

1 Employee gets = Rs 13,020

Step-by-step explanation:

25% profit = Rs 26,04,000

Bonus is always 20% of the profit

So, Bonus:

=> 26,04,000/5

=> Rs 520,800

50% bonus  from the profit = 520,800/2

=> Rs 260,400

This was divided equally among 20 employees.

So, Each Employ gets:

=> 1 Employee = 260,400/20

=> 1 Employee gets = Rs 13,020

please help! sketch :y = 3x − 2 on a graph

Answers

Answer:

The graph of the equation y=3x-2 is shown in the picture below!!

Step-by-step explanation:

I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!

A. There is no solution, and it is shown by region B

B. There is no solution

C. There is a solution, and it is shown by region C

D. There is a solution, and it is shown by region A

Answers

Answer:

A

Step-by-step explanation:

The answer is A i just took it on edg

Can someone help with this.... thanks!

Answers

Answer:

3244.5

Step-by-step explanation:

LxW=A

Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.

Answers

Answer:

1 and 3.

Step-by-step explanation:

The given system of equations

[tex]2x-7y=-13[/tex]     ...(1)

[tex]-2x+11y=1[/tex]     ... (2)

Here, coefficients of x have same values with opposite signs.

The x-variable will be eliminated when adding the system of equations.

Add (1) and (2), we get

[tex]2x-7y-2x+11y=-13+1[/tex]

[tex]4y=-12[/tex]

Divide both sides by 4.

[tex]y=-3[/tex]

Put y=-3 in (1).

[tex]2x-7(-3)=-13[/tex]

[tex]2x+21=-13[/tex]

[tex]2x=-13-21[/tex]

[tex]2x=-34[/tex]

Divide both sides by 2.

[tex]x=-17[/tex]

So, the given system of equations have unique solution, i.e., (-17,-3).

Therefore, the correct options are 1 and 3.

What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x

Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1

Answers

Answer:

we need picture

Step-by-step explanation:

probaby d tho

50 points, show your work. This table shows the battery life of 4 different mobile phones: Phone A: 20 hours Phone B: 25 hours Phone C: 10 Hours Phone D: 18 hours. If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day? Phone A Phone B Phone C Phone D

Answers

Answer:

phone c :)

Step-by-step explanation:

Which of the following are true statements about minerals?

I. Minerals are naturally occurring substances.
II. Each mineral has a specific chemical makeup.
III. Minerals can be solids, liquids, or gases.
IV. Rocks are made of minerals.

Answers

Answer:

1,2 and 4 are correct.

Step-by-step explanation:

A mineral cannot be a liquid or a gas.

Answer:

|, ||, |V

Step-by-step explanation:

Only I, II, and IV are true. Minerals are solid, naturally occurring inorganic substances, each having a specific chemical makeup. Each mineral also has a particular type of ordered internal structure. Rocks are made of two or more minerals.

Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.

Answers

Answer:

1 3/8 lbs.

Step-by-step explanation:

3 1/4 x 1/2 = 1 5/8

1 5/8-1/4=

1 5/8-2/8=

1 3/8

Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.
The mixture should contain quarts of the 6%

Answers

Answer:

30 gallons of 6% milk, and 45 gallons of 1% milk.

Step-by-step explanation:

x=quarts of 6% butterfat

First, write an equation.

0.06x+0.01(75-x)=0.03*75

Multiply both sides by 100.

0.06x*100+0.01*100(75-x)=100*0.03*75

Simplify

6x+75-x=3*75

6x+75-x=225

Solve

5x=225-75=150

5x=150

x=30

75-30=45

So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.

So, the mixture contains 60 quarts of 6% milk and 15 quarts of 1% milk

Linear Equation:

The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1

Let [tex]x[/tex] quats and [tex]y[/tex] quats of 6% and 1%  butterfat milk then,

[tex]x+y=75...(1)[/tex]

And

[tex]\frac{6x}{100} +\frac{y}{100} =375\\6x+y=375...(2)[/tex]

Now, solving equations (1) and (2) we get,

[tex]x=60\\y=15[/tex]

Learn more about the topic linear equations:

https://brainly.com/question/16740131

Please help will mark brainly

Answers

Answer:

$10.10

Step-by-step explanation:

We are told that she bought 3 CDs of the same price. Her total was $34.20 with $3.90 tax. We want to find the price of a CD before tax.

Since we are finding the price before tax, we need to subtract the tax from the total.

total - tax

We know she paid $34.20 with the tax of $3.90

$34.20 - $3.90

Subtract

$30.30

The total before tax was $30.30

Now we must find the price of a CD. Each CD is the exact same price, and she bought 3. Therefore, we can divide the total before tax ($30.30) by 3.

$30.30 / 3

Divide

$10.10

Each CD costs $10.10 before tax.

Answer:

10.1 $

Step-by-step explanation:

The total price Lella paid was 34.20 $ wich includes the Cd's price and the taxes

The taxes value is 3.9 $

So we need to substract 3.9 $ from 34.20 $ to get the price of the Cds

34.20 -3.9 = 30.3

The total price of the cds is 30.3 $

There are 3 cds with the same price

To get the price of each Cd divife the total of cds by 3

30.3÷3 = 10.1

The price of 1 cd is 10.1$

whats 1,112,433 rounded to nearest ten thousand

Answers

Answer:

1,110,000

Step-by-step explanation:

1,112,433

  ↑ this is the digit in the ten thousand place

We look at the digit below to determine if we need to round up

2 is less than 5 so we leave the digit in the ten thousands place alone

1,110,000

Answer:

1110000

Step-by-step explanation:

2 is smaller than 5 so it will round to 0 and so will everything under it.

(10 points!) Help is appreciated!! :)

Answers

D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.

If the base of the exponent in a general function p(x) is lower, this means that large negative values of x will result in large positive values of p(x). Example: (1/5)^(-10)= almost 10 million, while (1/2)^(-10)= only 1024.

Answer:

D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.

Step-by-step explanation:

HERE a question........

Answers

Answer:

6

Step-by-step explanation:

Split the shape into two shapes, one square and one triangle.

Find the area of the square and area of triangle.

area of square = 2 × 2 = 4

The height of the triangle is 4 - 2 = 2 units.

area of triangle = 2 × 2 × 1/2 = 2

Add the areas.

4 + 2 = 6

The area is 6 units².

Answer:

6

Step-by-step explanation:

It would be easier to divide this shape into a square and a triangle.

square = 2*2 = 4

triangle = [tex]\frac{2*2}{1/2}[/tex] = 2 (2 triangles make squares so 1 triangle is half)

And 4 + 2 = 6

posts does Tom need and what are the
dimensions of the fence?
I postdyards Therefore, Dimensions are
A bag of marbles can be shared equally among 3,
or 6 students with none left over. What's the least
amount of marbles that can be in the bag?
If there are 150 people born in the world every
minute; how many are bom every Hour? Day?
Year?

Answers

Answer:

1) 3 marbles

2) The number of people born every hour is 9000 people

The number of people born every day is 216,000 people

The number of people born every year = 78,840,000 people

Step-by-step explanation:

1) The given information are;

The number of students =  3 or 6

Amount of marbles remaining after sharing = None

Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles

The least amount of marbles that can be shared equally among the students = 3 marbles

2) The number of people born int eh world every minute = 150 people

The number of minute in one hour = 60 minutes

∴ The number of people born every hour = 150 × 60 = 9000 people

Given that the number of hours in one day = 24 hours

∴ The number of people born every day = 9000 × 24= 216,000 people

Given that the number of days in one year = 365 days

∴ The number of people born every year = 216,000 × 365= 78,840,000 people

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(8,6); perpendicular to 2x - y = 4
(a) Write the equation of the line in slope-intercept form.

Answers

Answer:

y =  -[tex]\frac{1}{2}[/tex]x + 10

Step-by-step explanation:

To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 2x - y = 4, we will follow the steps below:

first write the equation 2x - y = 4 in a standard form

we will find the slope of our equation using this equation

2x - y = 4

y = 2x -4

comparing the above with

y = mx  + c

m = 2

[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1  ( slope of perpendicular equations)

2[tex]m_{2}[/tex] = -1

[tex]m_{2}[/tex]  = -1/2

our slope m = -1/2

We can now go ahead and form our equation

[tex]x_{1}[/tex] =8   [tex]y_{1}[/tex] =6

y-[tex]y_{1}[/tex] = m (x-[tex]x_{1}[/tex])

y-6 = -[tex]\frac{1}{2}[/tex](x-8)

y-6 =  -[tex]\frac{1}{2}[/tex]x + 4

y=  -[tex]\frac{1}{2}[/tex]x+4+6

y =  -[tex]\frac{1}{2}[/tex]x + 10

Please help me with this geometry question :((

Answers

Answer:

95

Step-by-step explanation:

GH = SR

SR = 30

FG =TS

TS = 39

104-39 =65

30+65 =95

The answer 95
It was if you do the math

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?(WITH PROPORTIONS PLEASE)

Answers

Answer:

5 cans

Step-by-step explanation:

$2/1 can = $10/x cans

x = 5

Answer:

5

Step-by-step explanation:

10 divided by 2 equalls 5

PLEASE HELP!!!! I WILL GIVE BRAINLIEST AND LOTS OF POINTS!!! Please provide an explanation and answer only if you know the answer for sure. In the following diagram, BC is parallel to DE. What is the measure of angle х? **Angles are not necessarily drawn to scale.**

Answers

Answer:

x = 29

Step-by-step explanation:

If the lines are parallel

< CBA = < DAB due to the fact that they are alternate interior angles

42 = DAB

We also know that

DAB + BAC + CAE = 180 since they form a straight line

Substituting the given values

42+ 109 + x = 180

Combine like terms

151 + x = 180

151+x-151 = 180-151

x = 29

Which expressions are equivalent to (5g+3h+4)⋅2


Select all that apply:


(5g+3h)⋅8

(5g+3h)⋅6

None of the above

Answers

Answer:

The answer is

None of the above

Hope this helps you

Answer:

None of the above

Step-by-step explanation:

Question, listed below

Answers

Answer: 3/5

Step-by-step explanation:

This spinner has 5 sections, 3 of which are pink.  Thus, you have a 3/5 chance to get pink.

Total outcomes: 5

Favored outcomes: 3

Hope it helps <3

Answer:

P = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Total Parts = 5

Pink Parts = 3

Probability = [tex]\frac{No. OfPossible Outcomes}{No.OfFavourable Outcomes}[/tex]

P = [tex]\frac{3}{5}[/tex]

Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.

Answers

plan B would share less

because, 20% of 1700 is 340 and 30% of 1450 is 435

I hope this helps!!

Answer:

plan A

Step-by-step explanation:

Plan A

1700-8450=6750*.20=1350+1700=3050

Plan B

1450-8450=7000*.30=2100+1450=3550

Answer=Plan A

You must buy bags of cement to pour a cement pad for a hot tub. You need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. Each bag of cement will fill 5 cubic feet. How many bags will you need to buy to ensure enough to fill the entire frame?

please show all steps

Answers

Answer:

13

Step-by-step explanation:

volume of pad : 8x8x1=64

64/5=12.8

so you would need 13 bags

Answer:

Step-by-step explanation:

Since the pad frame is a square frame measuring 8 feet long and 1 foot high, we would determine its volume by applying the formula for determining the area of a cuboid which is expressed as

Volume = length × width × height

Volume of pad frame = 8 × 8 × 1 = 64 cubic feet

Since each bag of cement will fill 5 cubic feet, then the number of bags that you will need to buy to ensure enough to fill the entire frame is

64/5 = 16.8

Approximately 17 bags

Susan placed $9900 in a savings account which compounds interest continuously at a rate of 1.9 %. How much will she have in the account after 6 years?

Answers

Answer:

$11095.45

Step-by-step explanation:

This is a problem in continuous compounding, for which the formula is

P = Ae^rt, r being the annual interest rate as a decimal fraction and t being the time in years.  Here we have:  

P = $9900e^(0.019)(6) = $11095.45

Answer:

11095

Step-by-step explanation:

Rounding to the nearest dollar

Hows everyone today? Heres the question of the day! 5 + 34 x 19

Answers

Answer:

I'm doing good. The answer is 651.

Step-by-step explanation:

Using the order of operations, you would multiply the 34 x 39=646. Then add 5 to it: 646+5=651.

Answer:

651

Step-by-step explanation:

Using BODMAS Rule:

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition

S = Subtraction

Now, Let's solve

[tex]5 + 34 \times 19[/tex]

Multiply the numbers

[tex] = 5 + 646[/tex]

Calculate the sum

[tex] = 651[/tex]

Hope this helps!

Select the best answer for the question.
2. Find the sum of the first 8 terms of a geometric series in which a1 = 3 and r= 2.​

Answers

Answer: 765

=============================================

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

----------

We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.

Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.

Answer: Answer: 765

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23

Answers

Answer:

The answer is C:2 and 23

Step-by-step explanation:

Answer:

U have told the answer in the ques. then why r u asking question.

U know the answer already...

(07.04 LC)What is the solution to the equation fraction 1 over 6x = 2?

Answers

Answer:

x = 12

Step-by-step explanation:

multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6

x = 12

Answer: x is 12

Step-by-step explanation:

QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.

Answers

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?

Plss who can solve this plsss​

Answers

Answer:

The answer is B.

Step-by-step explanation:

First you have to find the angle of ATB. Given that ∠TAB and ∠TBA have the same angle and the total angle in a triangle is 180°. So you have to subtract :

∠TAB + ∠TBA + ∠ATB = 180°

∠ATB + 62° + 62° = 180°

∠ATB + 124° = 180°

∠ATB = 180° - 124°

∠ATB = 56°

A tangent to a circle will always be 90°, so ∠TAO and ∠TBO are 90°. In a quadrilateral, total angles is 360°. So the angle of AOB is :

∠ATB + ∠TAO + ∠TBO + ∠AOB = 360°

56° + 90° + 90° + ∠AOB = 360°

236° + ∠AOB = 360°

∠AOB = 360° - 236°

∠AOB = 124°

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