the vertices of a triangle are located at (-3,-1), (2,3),(5,2). record the triangles perimeter to the nearest whole number

Answers

Answer 1

Answer:

The perimeter of the triangle is approximately equal to 18

Step-by-step explanation:

The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)

The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;

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

The lengths of the segments that make up the triangle are therefore;

Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41

Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73

Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10

Therefore;

The perimeter of the triangle = The sum of the lengths of the sides of the triangle =  √41 + √73 + √10

The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094

∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.


Related Questions

Diego bought some raisins and walnuts to make trail mix.

Raisins cost $4 a pound and walnuts cost $8 a pound. Diego spent $15 on both ingredients.

Decide if each pair of values could be a combination of raisins and walnuts that Diego bought.



4 pounds of raisins and 2 pounds of walnuts

Answers

Answer: You could only buy 1 pound of raisins and 1 pound of walnuts

Step-by-step explanation:

$8=1 pound of walnuts

$15-$8=$7

$4=1 pound of raisins

$7-$4=$3

$3 is not enough to buy a pound of raisins since it’s one dollar off but it is also not enough to buy a pound of walnuts because it’s off by $5

Answer:

4 pounds of raisins and 2 pounds of walnuts is not a solution to this equation.

Step-by-step explanation:

4y+8x=15

4(4)+8(2)=?

4(4)=16

8(2)=16

16+16=32

Therefore, 4 pounds of raisins and 2 pounds of walnuts is not a possible solution for the constraints of the eqution.

is this right?
what is the correct answer if I am wrong.​

Answers

Answer:

yes

Step-by-step explanation:

Answer

it looks like your correct but i would go for b or a

Step-by-step explanation:

attorney b charges 150 for the inity meeting and 175 per hour for all hours worked after that write an equation in slope intercept form​

Answers

Answer:

fcuyah;tug2jw

Step-by-step explanation:

A train covers 165 km in 1.5 hours. Find the constant variation.

Answers

Answer:

Step-by-step explanation:

110

The required value of constant variation would be 110.

What is the distance?

Distance is defined as the product of speed and time.

Direct variation equation can be written as:

y = kx where "k" is a constant variation.

Here y represents the distance covered by the train, and x represents the time duration.

As per the given question,

Since the train covers 165 km in 1.5 hours.

Substitute the values of y = 165 and x = 1.5 in the direct variation equation and solve for k:

⇒ 165 = 1.5k

⇒ k = 165/1.5

Apply the division operation, and we get

⇒ k = 110

Therefore, the required value of constant variation would be 110.

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-6*f(-3)-5*g(-7)=
I need help ASAP​

Answers

Answer:

[tex]18 f+35g[/tex]

Step-by-step explanation:

Write the problem as a mathematical expression.

[tex]-6*f(-3)-5*g(-7)[/tex]

Move −3 to the left of f.

[tex]-6*(-3f)-5*(g(-7))[/tex]

Multiply −3 by −6.

[tex]18f-5*(g(-7))[/tex]

Move −7 to the left of g.

[tex]18f-5*(-7g)[/tex]

Multiply -7 by -5.

[tex]18f+35g[/tex]

Twice a number increased by 1 is -11. Find the number.​

Answers

Answer:

-6

Step-by-step explanation:

I hope this helps you out!

find the equation of the line with the slope m= -6 that passes through the point (-3, -5). Write the equation in the form Ax+ By=C

Answers

Answer:

y=mx+b

-5= -3(-6)+b

-5=18+b

-23=b

3x-5y=-23

The equation of the line with slope m = -6 that passes through the point (-3, -5) in the form Ax + By = C is 6x + y = -23.

We have,

To find the equation of a line given its slope and a point on the line, we can use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

Where (x1, y1) represents the coordinates of the given point and m is the slope.

Given the slope m = -6 and the point (-3, -5), we can substitute these values into the point-slope form:

y - (-5) = -6(x - (-3))

Simplifying:

y + 5 = -6(x + 3)

Expanding the equation:

y + 5 = -6x - 18

To write the equation in the form Ax + By = C, we need to rearrange it:

6x + y = -18 - 5

6x + y = -23

The coefficients of x and y are 6 and 1 respectively, so the equation can be written as:

6x + y = -23

Therefore,

The equation of the line with slope m = -6 that passes through the point (-3, -5) in the form Ax + By = C is 6x + y = -23.

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What are the Zeros of the Polynomial: f (x) = 2(x + 4) (2 – 7) (5x – 2)

Answers

Answer:

-4, 0.4

Step-by-step explanation:

Is the statement true? Explain.​

Answers

Answer:

Yes it's true

Step-by-step explanation:

Yes your statement is true

In Mr.Elliot’s garden, 1/8 of the flowers are red, 1/4 of them are purple, and 1/4 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?

Answers

Answer:

Just wasting your answers because you did it to me.

But.. 5th grade is easy..

Step-by-step explanation:

Select all the expressions that are equivalent to -8.
80
100
800
100
80 = (-10)
-80 = (-10)
480
-100

end of first quarter today, this is due today. please help! :)

Answers

Answer:

-800/100 and 80 ÷ (–10)

Step-by-step explanation:

I did the test and I got 100%

What period is bromine (Br) in?
3
7
4
2

Answers

Answer: period 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Its atomic # is 35 and atomic numbers 19 - 36 are found in that period

hope this helps :)

In golf, shooting par is scored as a 0. A score of 2 below par on a hole in golf is called an eagle. Jacob’s friend Michelle scored an eagle on each of her first five holes. Explain how you would use addition to find the product of –2 and 5 using the integer tiles and the number line. Please help I need this done quick or I get 0 on my test.

Answers

If you want to use integer tiles to find the product of 2(-5), think of it as you having 2 groups of 5 negative tiles, that is

-1 -1

-1 -1

-1 -1

-1 -1

-1 -1

Think of it as you having each of the -1 inside it's distinct tile. Now adding up these tiles you have -10.

Therefore 2(-5) is -10 using integer tiles.

If we are to use the number line, first draw your number line, then think of it as jumping twice while each jump is -5 big.

So the first jump from 0 will land on -5 and the second jump will land on -10 and that is the required answer using the number line.

Answer:

sup i know im late but still

Step-by-step explanation:

With integer tiles, you would add 5 groups of negative 2 tiles or remove 2 groups of 5 positive tiles. On the number line, you would bounce by 5 to the left 2 times. - this was the sample response on edge.

ur welcome

Hannah has a candle-making business, Hannah's Heavenly Scents.
She is
experimenting with the time it takes for her candles to burn. She has
one candle that is 16 cm tall and loses 2.5 cm in height every hour it
burns. She has another candle that is 12 cm tall and loses 1.5 cm in
height
every hour it burns.
Write a function for the height, T, of the taller candle in terms of the
number of hours it has burned, h.

Answers

Answer:

T = 16 - 2.5h

Step-by-step explanation:

The taller candle is 16 cm and loses 2.5 cm every hour

Equation for the taller candle:

T = 16 - 2.5h

Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long. straight upward incline with a speed of 2.95 m/s and accelerates at -0.876 m/s/s for 1.54 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.

Answers

Answer:

3.504 m

Step-by-step explanation:

Given that:

The speed (u)=  2.95 m/s

The acceleration = -0.876 m/s²

TIme t = 1.54 s

The length of the incline can be estimated by determining the distance traveled which can be achieved by using the second equation of motion.

[tex]S = ut + \dfrac{1}{2}at^2[/tex]

[tex]S = 2.95 (1.54) + \dfrac{1}{2}(-0.876) (1.54)^2[/tex]

S = 4.543 - 1.039

S = 3.504 m

Thus, the length of the incline = 3.504 m

Matthew and Mark were selling cups of lemonade. Matthew sold 15 more cups of lemonade than Mark. Together they sold 81 cups. How many cups did Matthew sell?

Answers

Answer:

48 cups

Step-by-step explanation:

Matthew and Mark were selling cups of lemonade.

Let the number of cups that Matthew sold = x

The number of cups Mark sold = y

Together they sold 81 cups.

= x + y = 81 cups...... Equation 1

Matthew sold 15 more cups of lemonade than Mark.

x = y + 15 cups

Substituting y + 15 for x in Equation 1

y + 15 + y = 81 cups

2y +15 = 81 cups

2y = 81 -15

2y = 66 cups

y = 66 cups/2

y = 33 cups

Hence, the number of cups Mark sold = 33 cups.

The number of cups Matthew sold is calculated as:

= x = y + 15 cups

x = 33 cups + 15 cups

x = 48 cups

I'll mark you the brainiest if you get this right
thx x

Answers

a) triangle c, has the largest area
b) a= 1/2 (3) (3) a= 4.5
the picture shows what i mean hope this helps :)

Is the point (-2,5) a solution for the equation y = 10 + 4x. Explain why and ensure that math
evidence is in your response.

Answers

Answer:

No, the point (-2, 5) is not a solution.

Step-by-step explanation:

To see if the point is a solution, plug the given values for x and y into the equation:

y = 10 + 4x

5 = 10 + 4(-2)

5 = 10 - 8

5 [tex]\neq[/tex] 2

Because the two sides aren't equal to each, the point (-2, 5) can't be a solution.

20+m=8m What does m equal?

Answers

Answer:

First, subtract m from both sides

20=7m

divide 7 from both sides

20/7=m

Step-by-step explanation:

Answer: = 20/7

Step-by-step explanation:

is the square route of 25 a integer

Answers

Answer:

Yes.

Step-by-step explanation:

The square root of 25 is an integer. 25 is a perfect square meaning Tyou can multiply an integer by itself and obtain 25. Hope this helps.

Answer:

Yes its 5

Step-by-step explanation:

ASAP Help me due in a few hours are these right will give 100 points and brainliest DO NOT COMMENT JUST FOR POINTS

Answers

Answer:

you might need to take a better picture

Step-by-step explanation:

I can't quite see all the questions

3(x + 2) + 4(x - 5) = 10

Answers

Answer:

m the answer is

=2 4 out of 7

 

Step-by-step explanation:

Will mark brainliest if you answer correct. also 30 points for one question

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

caculate the diffrence of 13.9-1.149

Answers

Answer:

12.751

Step-by-step explanation:

13.9 - 1.149

--Subtract--

Answer:

12.751

Step-by-step explanation:

Just do subtraction.

Plz plz plz help......

Answers

Answer:

m<OXP = 2(35) + 5

= 75 degrees

Step-by-step explanation:

x-5 + 2x+ 5 + 75 = 180

3x + 75= 180

3x= 105

x= 35

Hope this helps

Answer:

Angle OXP = 105 degrees.

Step-by-step explanation:

Let's start figuring out the angles in the triangle.  We know that the sum of the interior angles of a triangle add up to 180.

(x - 5) + (2x + 5) + 75 = 180

x - 5 + 2x + 5 + 75 = 180

3x = 105

x = 35

So angle FXO = 2x + 5 = 2(35) + 5 = 70 + 5 = 75

We know that angle FXO and OXP are supplementary angles, so they add up to 180 degrees as well.

OXP = 180 - 75 = 105

Which two numbers have decimal forms that terminate or repeat? A) 22 11 B) 67 7 12. 294 D) O NO E V17




plz help me​

Answers

Answer:

c & d

Step-by-step explanation:

Trust me on this one can i have brainiest

Option {D} : 0 represents the correct alternative.

What are decimal numbers?

A decimal is a number that consists of a whole and a fractional part.

Given are the decimal numbers.

Option {D} : 0 represents the correct alternative.

Therefore, Option {D} : 0 represents the correct alternative.

To solve more questions on decimals, visit the link below -

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PLZ i want the answer

Answers

Answer:

0.28

Step-by-step explanation:

You would just add the 2 values you have and then subtract them from 1, the remaining value is your answer.

Here is what I did...

0.3 + 0.42 = 0.72

1 - 0.72 = 0.28

Probability of pasta is 0.28 or 28%.

Can someone please help me (15 points)





If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f ∘ g) (x)?

2

3

5

6

Answers

Answer:

6 is the answer you are looking for

Consider the function.

f(x)= -2/3x-24

Which conclusions can be drawn about f–1(x)? Select two options.
f–1(x) has a slope of .
f–1(x) has a restricted domain.
f–1(x) has a y-intercept of (0, –36).
f–1(x) has an x-intercept of (–36, 0).
f–1(x) has a range of all real numbers.

Answers

Answer:

c and e

Step-by-step explanation:

The conclusions about f⁻¹(x) are ; f⁻¹(x) has a y-intercept of (0, -36) and (e); f⁻¹(x) has a range of all real numbers.

How to determine the conclusions?

The function is given f(x) = -2/3x - 24

Express f(x) as y;

y = -2/3x - 24

x = -2/3y - 24

Add 24 to both sides;

x + 24 = -2/3y

Make y the subject,

y = -3/2x - 36

Rewrite

f⁻¹(x) = -3/2x - 36

A linear equation is represented y = mx + b

Where, m represents the slope and b represents the y-intercept

This means :

Slope = -3/2

Y-intercept = -36 or (0,-36)

Read more about inverse functions at:

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I need help with this math question plz

Answers

Answers:
Y=128
X=52

Hope this helps!!!
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