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seropon [69]
3 years ago
11

Michael plots and connects the following points: A(-3,2), B(1,1), C(-3,4) and D(-5,-1). Which best describes the quadrilateral f

ormed?
a. rectangle
b. rhombus
c. square
d. trapezoid
Mathematics
2 answers:
Blizzard [7]3 years ago
8 0
D is the answer I am sure this helps
satela [25.4K]3 years ago
5 0
The answer I believe would be  D
You might be interested in
Set up, but do not evaluate, the integral that represents the length of the curve given by x = 1 + 3t^2, y = 4 + 2t^3 over the i
kherson [118]

L

=

∫

t

f

t

i

√

(

d

x

d

t

)

2

+

(

d

y

d

t

)

2

d

t

. Since  

x

and  

y

are perpendicular, it's not difficult to see why this computes the arclength.

It isn't very different from the arclength of a regular function:  

L

=

∫

b

a

√

1

+

(

d

y

d

x

)

2

d

x

. If you need the derivation of the parametric formula, please ask it as a separate question.

We find the 2 derivatives:

d

x

d

t

=

3

−

3

t

2

d

y

d

t

=

6

t

And we substitute these into the integral:

L

=

∫

√

3

0

√

(

3

−

3

t

2

)

2

+

(

6

t

)

2

d

t

And solve:

=

∫

√

3

0

√

9

−

18

t

2

+

9

t

4

+

36

t

2

d

t

=

∫

√

3

0

√

9

+

18

t

2

+

9

t

4

d

t

=

∫

√

3

0

√

(

3

+

3

t

2

)

2

d

t

=

∫

√

3

0

(

3

+

3

t

2

)

d

t

=

3

t

+

t

3

∣

∣

√

3

0

=

3

√

3

+

3

√

3

=6The arclength of a parametric curve can be found using the formula:  

L

=

∫

t

f

t

i

√

(

d

x

d

t

)

2

+

(

d

y

d

t

)

2

d

t

. Since  

x

and  

y

are perpendicular, it's not difficult to see why this computes the arclength.

It isn't very different from the arclength of a regular function:  

L

=

∫

b

a

√

1

+

(

d

y

d

x

)

2

d

x

. If you need the derivation of the parametric formula, please ask it as a separate question.

We find the 2 derivatives:

d

x

d

t

=

3

−

3

t

2

d

y

d

t

=

6

t

And we substitute these into the integral:

L

=

∫

√

3

0

√

(

3

−

3

t

2

)

2

+

(

6

t

)

2

d

t

And solve:

=

∫

√

3

0

√

9

−

18

t

2

+

9

t

4

+

36

t

2

d

t

=

∫

√

3

0

√

9

+

18

t

2

+

9

t

4

d

t

=

∫

√

3

0

√

(

3

+

3

t

2

)

2

d

t

=

∫

√

3

0

(

3

+

3

t

2

)

d

t

=

3

t

+

t

3

∣

∣

√

3

0

=

3

√

3

+

3

√

3

=

6

√

3

Be aware that arclength usually has a difficult function to integrate. Most integrable functions look like the above where a binomial is squared and adding the two terms will flip the sign of the binomial.    

Be aware that arclength usually has a difficult function to integrate. Most integrable functions look like the above where a binomial is squared and adding the two terms will flip the sign of the binomial.

8 0
3 years ago
3.14*16.8*16.8*16.9
vitfil [10]

Answer: 3.14 *16.8*16.8*16.9=14977.3478

14977.3478= 14,977.35

6 0
3 years ago
2m=-6n-5 literal equation
Bingel [31]

Answer:

read below

Step-by-step explanation:

Alright, archtan /  

tan

−

1

(

x

)

is the inverse of tangent. Tan is  

sin

cos

. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.

Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.

Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.

Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.

the answer is m=-3n-5/2 or n=2m+5/6

8 0
3 years ago
What is the equation for the line?<br><br> Enter your answer in the box.
Tema [17]
i think it is 2 and half
7 0
3 years ago
Read 2 more answers
Help please (question is kinda easy and its timed so i need help asap)
AveGali [126]

Option 1: y = 5x+5 is the correct answer

Step-by-step explanation:

We can put the values of x in each option one by one and then compare the output to find the best option

So,

<u>For y = 5x+5:</u>

Putting x=1,2,3,4,5...

y = 5(0)+5 = 0+5 = 5\\y = 5(1) +5 = 5+5 = 10\\y = 5(2) + 5 = 10+5 = 15\\y = 5(3) + 5 = 15+5 = 20

The values of x in the function are producing the output values of y, which means that the function for values given in the table is defined by: y= 5x+5

Hence,

Option 1: y = 5x+5 is the correct answer

Keywords: Functions, variables

Learn more about functions at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#LearnwithBrainly

6 0
3 years ago
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