ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.

Answers

Answer 1

Step-by-step explanation:

let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.

the slope BA = -1

as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).

the slope of CD = -1

as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).

so, both lines are indeed parallel.

the slope CB = +1

as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)

the slope of DA = +1

as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)

so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).

therefore, we have only 90° angles here.

and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.

therefore, this is a square.

and with that it is automatically also a rectangle and a rhombus.


Related Questions

PLEASE HELP whoever answers all of them and first i’m giving brainliest.

Answers

Answer:

1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property

2. The next step is to combine like terms as needed.

3. Then solve for the variable by applying inverse operations.

4. If solving lead to a true equation, then the equation has infinitely many solutions.

5. if solving leads to an untrue equation, then the equation has no solution.

solve for x PLS HELP QUICK I HAVE A FINAL TMRW AND I REALLY NEED TO KNOW HOW TO DO IT

Answers

Answer:

x = -9/2

Step-by-step explanation:

64 = 2^6

if you have the same base, you can set the exponents equal and solve for x.

-2x-3 = 6

-2x = 9

x = -9/2

good luck on your final! you got this!

Step-by-step explanation:

[tex] {2}^{ - 2x - 3} = 64[/tex]

first, get 64 to a base of 2

[tex] {2}^{ - 2x - 3} = {2}^{6} [/tex]

now we can drop the bases

[tex] - 2x - 3 = 6[/tex]

And now we can solve it like any other equation

[tex] - 2x = 6 + 3[/tex]

[tex] - 2x = 9[/tex]

[tex]x = - \frac{9}{2} [/tex]

12 x 3^2 +36



plz help

Answers

Answer:

The answer will be 144

Step-by-step explanation:

So first you going to do is solve 3^2 and that will give you 9.

Then you multiply 12*9 and that will give you 108 then you add 36 and that will give you 144.

Answer:

144

Step-by-step explanation:

To solve this expression, use PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Follow this order to solve any type of expression with no variables.

The first applicable step of PEMDAS is exponents. So, do 3^2.

12 x 9 + 36

Next, multiply 12 x 9

108 + 36

Finally, add the last terms

144

So, the final answer is 144.

Jaz is going to the florist to buy foxgloves and orchids. The foxgloves can only be purchased in groups of 11 and the orchids can only be purchased in groups of 5. If Jaz wants to buy the same amount of foxgloves and orchids, then what is the lowest quantity of foxgloves that Jaz can buy?

Answers

Answer:

5

Step-by-step explanation:

5 x 11 = 55

55 / 11 = 5

NEED HELP ASAP WILL GIVE BRAINLIESTfor which values of x does each expression make sense?sqrt x+5

Answers

Answer:

can I see a picture? so I can try & help u

Answer:

x≥-5

Step-by-step explanation:

Gracy was running errands around her neighborhood. First she went to the doctors but they were closed. She then drove to her house stopping to grab her library books. She went to the library to drop them off then headed to the grocery story passing her house on the way.

In total, how far would Gracy have traveled once she returned home from the grocery store?

9miles
3 miles
18 miles
6 miles

Answers

Answer is 9 miles from your home

Solve the system of linear equations by substitution x=5y+2 and x-4y=5

Answers

Answer:

(17,3)

Step-by-step explanation:

Equation 1.

x=5y+2

Equation 2.

x-4y=5

To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.

x-4y=5

(5y+2)-4y=5

y+2=5

y=3

Now that we found y, plug y into one of the equations to solve for x.

x=5y+2

x=5(3)+2

x=15+2

x=17

(17,3)

What if it’s not correct or not ?

Answers

Answer:

what is correct or not

Answer one question. Thanks

Answers

The y-intercept is 4.
Simply identify the y-intercept by looking at where the line crosses the y-axis. Or by looking at the equation (in y=mx+b form), the b term is the y-intercept.

does he like me (´༎ຶོρ༎ຶོ`)
yes or no !

Answers

Answer:

no he is dead

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

What does 100+100-200+90+20=

Answers

Answer:

110

Step-by-step explanation:

Answer:
110

step-by-step explanation:
You havew 100 then add 100 then it becomes 200, you then subtract 200 and now you have 0 you then add 90 and add 20 which equalls to 110

simplify 6x-3 + 2x+5​

Answers

Answer:

8x + 2

Step-by-step explanation:

Like terms:

6x and 2x

-3 and 5

6x + 2x = 8x

5 - 3 = 2

8x + 2

Answer:

x = 1

Step-by-step explanation:

6x - 3 + 2x + 5 = 0 <=> (6x+2x) - (3+5) = 0 <=> 8x - 8 =0 <=> 8x = 8 <=> x = 1

Sheri is making 4 pounds of mixed nuts. She will use One-third the amount of macadamia nuts as she does almonds. A graph titled Sheri's Mixed Nut Recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3). How many pounds of each nut will she use? 1 pound of macadamia nuts; 3 pounds of almonds 3 pounds of macadamia nuts; 1 pound of almonds 4 pounds of macadamia nuts; no almonds 4 pounds of almonds; no macadamia nuts.

Answers

1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

Given that,

Sheri is making 4 pounds of mixed nuts.

She will use One-third the number of macadamia nuts as she does almonds.

A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).

We have to find,

How many pounds of each nut will she use?

According to the question,

Total mixed nuts are 4 pounds,

She will use One-third the number of macadamia nuts as she does almonds.

2 lines intersect at (1, 3).

Therefore,

Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,

At x-axis, the point 1 lies.

So, macadamia nuts have 1 pound.

And pounds of almonds on the y-axis,

At y-axis, the point 3 lies.

So, almond nuts have 3 pounds.

Hence, 1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

For more details about Graphs refer to the link given below.

https://brainly.com/question/9351049

Answer:

A/ the first one

Step-by-step explanation:

Did the edg

Hey! Please help me ASAP

Answers

Answer:

-d+3.5≥4

Step-by-step explanation:

Just ask.

Hope this helps! :)

May I please receive help?

Answers

You got this bro why do u need our help for

i need help w this pls

Answers

Answer:

see explanation

Step-by-step explanation:

TQ and TR are perpendicular bisectors , so

QO = QN = 3.75

RP = OR = 3.4

The circumcentre T is equally distant from the triangle's 3 vertices, then

PT = QT = 4.5

how many feet are in 306 inches​

Answers

1 inch = 0.0833 feet
306 inches: 0.0833 x 306 = 25.4898

Therefore, 25.4898 feet are in 306 inches.

Answer:

25.5

Step-by-step explanation:

There are 12 inches in a foot and therefore...

306/12=25.5

306 inches is 25.5 feet

ways to write 25 percent of n,

Answers

Answer:

  0.25n = 25/100n = n/4

Step-by-step explanation:

25% of n = ...

  0.25n = 25/100n = n/4

and any of an infinite number of equivalent expressions.

connor took out a 4-year loan at 4% If he has to pay $240 how much principle did he borrow

Answers

Answer:

The principal he borrowed is $1500

Step-by-step explanation:

Let's assume principal he borrowed as P

now, we can use formula

where

SI is simple interest

r is interest rate

t is time in years

we are given

r=4%

SI=240

t=4

now, we can plug this value

now, we can solve for P

So,

The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!

g(x) = 3x + 1; Find g(7)

Answers

g(7)=3(7)+1
g(7)=21+1
g(7)=22

You go to a sandwich shop and spend $12.36. You want to leave a 10% tip. What is the tip and what is your total cost?

Answers

what kind od sandwich  cost 12.36 and why would you leave a tip if it cost so much

also just add 12.36 plus 1.84

23. Island cruises booked a group of vacationers on a cruise that has a fixed cost of $39,600. Later, 100 more
people join the cruise, and the average cost decreases by $275 per person. How many persons were booked
originally?

Answers

244 person
See attached picture

Plz Help...Math..................

Answers

Answer:

6 tons

Step-by-step explanation:

450x12=5,400

550x12=6,600

5,400+6,600=12,000 lbs.

12,000 ÷ 2,000=6 tons

is this correct ? if not what’s the correct answer?

Answers

It would be B. X is on a right angle which is 90 degrees and you must take into thinking that all three angles must be 180. Since it is a mirrored shape, corner E is the same as corner C which is 46.

This adds up to 136 and you must subtract 136 from 180 and is 44.

A hot air balloon went from an elevation of 4,060 feet to an elevation of 3,120 feet in 40 minutes. What was its rate of descent?

Answers

Answer:

23.5 feet per minute is the rate

Juan has 20 books to sell. He sells the books for $15 each.

The amount of money Juan makes from selling x books is represented by the equation y=15x
y
=
15
x



What is the theoretical range of the equation?

Question 2 options:

All multiples of 20 between 0 and 300, inclusive


All integers from 0 to 20, inclusive


All multiples of 15 between 0 and 300, inclusive


All real numbers

Answers

Answer:

Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .

The range is all the y values.....or the f(x) values .

So the practical range would be the multiples of 15 between 0 and 300,Inclusive .

Hope this helps you!!

1/100 = ?/? x 1/1000

Answers

Answer:

10 or 10/1

Step-by-step explanation:

1/1000 * 10= 0.01 = 1/100

I need some help I can’t figure out the answer

Answers

Answer:

y = 65 degrees

Step-by-step explanation:

You can use a vertical angle to figure this out. Since 65 is a vertical angle to y, it equals the same amount. I have attached an image of an example of vertical angles. They are on the opposite side of the line.

Rachel bought a sheet of fifty 34-cent stamps from the post office. she paid for the stamps with a $20 bill. how much money should she get back?

Answers

50 x 0.34 = 1.70
20 - 1.70 = 18.30

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
X - 4
5X + 2

Answers

Step-by-step explanation:

i think is this the answer

5×-4=-20

-20+2=18

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