A triangle has vertices at (1, 3), (2, -3), and ( -1, -1). What is the approximate perimeter of the triangle?
Answer choices
15

10

14

16

Answers

Answer 1

Answer:14

Step-by-step explanation:You can use distance formula to find the length of each side, and then add them together to approximate the perimeter.


Related Questions

Please help! ;)
The vectors VN−→{−8;3} and MT−→{2;10} are given. Calculate: 7⋅VN−→3⋅MT−→ =
Answer: { ; }.

Answers

Answer:

Step-by-step explanation:

To calculate 7⋅VN−→3⋅MT−→, we need to perform scalar multiplication on the two vectors. Scalar multiplication is simply multiplying each of the components of the vector by the scalar value.

So for the first vector, we have: 7⋅VN−→ = {7⋅(-8); 7⋅3} = {-56; 21}.

For the second vector, we have: 3⋅MT−→ = {3⋅2; 3⋅10} = {6; 30}.

Then to add the two vectors, we simply add the corresponding components: {-56; 21} + {6; 30} = {-50; 51}.

Therefore, the final result is {-50; 51}.

Mr. Spears was purchasing supplies for his math classroom. He had $25 to spend. Mechanical pencils and erasers come in bundles of 10. Each eraser costs $0.50. Fill in the missing place in the equation to compute the cost of each mechanical pencil.

Answers

x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Mr. Spears was purchasing supplies for his math classroom.

He had $25 to spend.

Mechanical pencils and erasers come in bundles of 10

Let x represents the Mechanical pencils

y represents the erasers

x+y=10

y=10-x

Each eraser costs $0.50

ax+0.50y=25

a is the cost of the each mechanical pencil.

Hence, x+y=10 and ax+0.50y=25 are the system of equations to compute the cost of each mechanical pencil.

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Mariana spent $166.50 on games played at a laser tag arena
last year. If the laser tag arena charges $4.50 per game, how
many games did Mariana play at the arena last year?

Answers

Answer: 37

Step-by-step explanation:

divide the total that she spent over how much each game is (166.50/4.50). this will give you the number of games that she played.

Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a. Add: 3a 3 8a - 6 and 4a 2 - 9a 11

Answers

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11 gets 3a³ + 4a² - a + 5.

The answer in descending powers of a is 3a³ + 4a² - a + 5.

A polynomial is a mathematical expression consisting of a sum of powers in one or more variables (indeterminates) with non-negative integer exponents.

Adding the polynomial 3a³ + 8a - 6 and 4a² - 9a + 11                                        

(3a³ + 8a - 6) + (4a² - 9a + 11) = 3a³ + 4a² - a + 5

The coefficients of  a³, a², a and 1 is 3, 4, -1 and 5 respectively.                      

Descending powers of a in the polynomial is a³, a², a. So the answer in descending powers of a is 3a³ + 4a² - a + 5.

--The question is incomplete, answering to the question below--

"Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of a.

Add: 3a³ + 8a - 6 and 4a² - 9a + 11"

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Bella has a cell phone plan in which she pays of each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8€ each and text messages cost 5€ each and her pill was $34. 26, how many minutes did she use?

Answers

If the total number of minutes used and text messages sent last month was 561 , then the number of minutes she use is  207 minutes .

The total number of minutes used and text messages is = 561 ;

the cost for per minute cost is = 8 cents ;

the cost for per text message is = 5 cents ;

Bella's total bill amount is = $34.26 = 3426 cents

let the number of minutes used be = x minutes ; and

let the number of text messages be = y ;

So ,According to the question ,

the equations representing the situations are ,

[tex]x+y=561[/tex]  and [tex]8x+5y=3426[/tex]

Substituting the values of [tex]y=561-x[/tex] in the equation [tex]8x+5y=3426[/tex] ,

we get ;

[tex]8x + 5(561-x)= 3426[/tex]

On solving ,

we get ; x = 207 minutes ;

So , the number of text messages (y) = [tex]561-207[/tex]

= 354 text messages.

Therefore , the number of minutes is = 207 minutes .

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Find the lengths of the diagonals of rectangle WXYZ
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.

Answers

A rectangle is a four-sided geometric shape where opposite sides are parallel and congruent. The diagonals of a rectangle are two lines that connect the opposite corners of the rectangle, and they bisect each other at 90 degrees.

Briefly defined, what is rectangle?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Given the sides of rectangle WXYZ are WY = 14x + 10 and XZ = 11x + 22. We can find the length of the diagonals using the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the diagonal of the rectangle) is equal to the sum of the squares of the other two sides (the sides of rectangle)

Diagonal WX: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)

Diagonal YZ: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)

So, the lengths of the diagonals of rectangle WXYZ are √(317x^2 + 940x + 584) units.

Note that the diagonals of a rectangle are congruent and the value of x is not a known, the diagonal of rectangle is the value of the square root of the expression.

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Answer: 66

Step-by-step explanation:

I skipped it to see the answer hope this helps

Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. If you created a label for this product. What is the length of this label?


2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?


suppose the price of each vial is $5.00. What is the cost of a box?

Answers

1: 2cm. ‎
2: 2cm ‎
3: 12cm

A coin is tossed, a number cube is rolled, and a letter is picked from the word framer. 10. P(tails, 5, m)​

Answers

Answer: The function you provided describes an experiment in which a coin is tossed, a number cube is rolled, and a letter is picked from the word "framer". The outcome of the experiment is represented by the ordered triple (tails, 5, m).

P(tails, 5, m) refers to the probability of the outcome (tails, 5, m) occurring. To find this probability, you would need to know the probability of each individual event:

The probability of getting tails is 1/2,

The probability of getting a 5 on a number cube is 1/6

and probability of getting letter "m" in the word "framer" is 1/6

So P(tails, 5, m) = (1/2) * (1/6) * (1/6) = 1/72

It is to be noted that in order for the inverse function to exist, the function must be one-to-one, meaning each y value has one unique x value, meaning the random variables in question should be independent. But in this case the events are dependent on one another.

Step-by-step explanation:

I need to factor completely to get an answer for
n²-10n+24
I need to get factors in parenthesis like (n +/- #) (n +/- #)
I need it before tomorrow

Answers

Answer:

(n - 6)(n -4)

Step-by-step explanation:

Find two numbers that add to - 10 and multiply to +24.
In this case, -6 * -4 satisfies these requirements.

Question content area top Part 1 Without using paper and​ pencil, how would you find the sum of 8.8 and 5.5 and ​?

Answers

The sum of 8.8 and 5.5 is 14.3

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

To find the sum of 8.8 and 5.5 without using pen and pencil:

First, we break the term in simple manner.

8.8 = 8 + 0.3 + 0.5

And 5.5 = 5 + 0.5

And now adding the terms one by one,

0.5 + 0.5 = 1.0

0.3 = 0.3

8 + 5 = 13

Addition,

13 + 1 + 0.3 = 14.3

Therefore, the value is 14.3

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Eight rooks are placed at positions sampled randomly without replacement on an chessboard. Two rooks attack each other if they are in the same row or in the same column. What is the probability that none of them attacks any of the others

Answers

There is a 60% chance that none of them will assault any of the others.

Explain about the Probability?

Only the likelihood that something will happen is included in probability. When we don't know how something will turn out, we could talk about the possibility of one or the likelihood of different outcomes. The scientific study of events that fit into a probability distribution is known as statistics.

It is based on the probability that something will happen. The fundamental principle of theoretical probability is the explanation of probability. For instance, when a coin is flipped, there is a 12% chance that it will land on its head.

Probability is a statistic that is used to show the possibility or likelihood that an event will happen. Probabilities can be expressed as fractions from 0 to 1 or as percentages from 0% to 100%.

  = 64/8 = 8

   =  8 - 2

    =  4

    =  64- 4

     = 60

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Help quickly this is for a final!

The polygons are similar.

The perimeter of pentagon RSTPQ is ___ units.

Answers

Answer:

unidentified

Step-by-step explanation:

could you please send the other polygon or send an attachment of the whole question because this information is not enough

A water sample must be taken from water at least 20 feet deep. Find the depth of the water feet from shore

Answers

The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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man travels 60 miles to work at an average speed of 40mph. He travels home the same route at an average speed of 60mph. What is the average speed of his round trip

Answers

Answer:1881 6040mph 18x

What is the additive inverse of 6 /- 5 of Class 8?

Answers

The additive inverse of 6 /- 5 is 6/5

We know that for any real number 'a' an additive inverse is a number 'b' such that a + b = 0

i.e., b = -a

An additive inverse of 'a' is -a.

The means, an additive inverse is nothing but changing sign + to - OR - to +

Here we have been given a rational number 6/(-5)

Let m be the additive inverse of number 6/(-5)

From the definition of additive inverse,

6/(-5) + m = 0

[6/(-5) + m] - 6/(-5) = -6/(-5)            

[6/(-5) - 6/(-5)] + m= -6/(-5)       ...........(associative property of addition)

0 + m =  6/5

m = 6/5

Hence, the additive inverse is 6/5

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How do you find an inverse?

Answers

Answer:

by using 1 to divide the value

Step-by-step explanation:

the inverse of 5/8 is 8/5.

James is building a doll house that is proportional to his own house. He is using a scale of 0. 5inch = 1foot. If the doll house is 12. 3inches tall, how tall is his house. ?

Answers

James's house is 24.6 feet tall because he is using a scale of 0.5 inch per 1 foot. To get this measurement, he multiplied 12.3 inches (the height of the doll house) by 2.

1. Take the height of the doll house (12.3 inches).

2. Multiply 12.3 inches by 2.

3. The result is 24.6 feet which is the height of James's house.

James is building a doll house that is proportional to his own house. He is using a scale of

0.5 inch = 1 foot,

which means that for every 0.5 inch in the doll house, 1 foot is represented in his house. To calculate how tall his house is, we need to figure out how many inches the doll house is. The doll house is 12.3 inches tall. To get the height of James's house, we need to multiply this by 2. Thus, 12.3 inches multiplied by 2 equals 24.6 feet, which is the height of James's house. This is because for every 0.5 inch in the doll house, 1 foot is represented in his house. Therefore, with the scale of 0.5 inch = 1 foot, the height of James's house is 24.6 feet.

1. Determine the scale of the doll house (0.5 inch = 1 foot).

2. Measure the height of the doll house (12.3 inches).

3. Multiply 12.3 inches by 2.

4. The result is 24.6 feet which is the height of James's house.

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An object is moving at a speed of 3 yards per month. Express this speed in centimeters per day.

Answers

The speed of the object is 9.14 cm per day.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given that, An object is moving at a speed of 3 yards per month. we are asked to express this speed in centimeters per day.

For this, we will have to convert the units,

1 yard = 91.44 cm

3 yards = 91.44 × 3 = 274.32 cm

Therefore, we can say the object is moving 274.32 cm per month

Now,

If it moves 274.32 cm in one month,

Therefore, in day, it will move = 274.32 / 30    [1 month = 30 days]

= 9.144

Hence, the speed of the object is 9.14 cm per day.

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What do you call two angles whose measures have a sum of 180?

Answers

Answer:

supplementary angles

Step-by-step explanation:

for instance, 50 + 130 = 180.

Please help

The graph shows the reciprocal parent function

Which statement best describes the function

Answers

The statement that best represents the function must be identified by reading the graph.

Let's check which of the following statements best characterizes the function:

A) When  x < 0, the function is negative.

This is accurate; as you can see, the function is negative for x < 0 because it is below the horizontal axis.

We shall see that choice A is the proper one. "When x < 0, the function is negative."

The function tends to infinity on the positive side at an x close to zero.

The function tends to negative infinity at x close to zero on the negative side.

The function tends to zero as x's absolute value grows.

So we can conclude that this is an inverse function similar to:

y = f(x) = 1/x

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A circle is inscribed in quadrilateral , tangent to at and to at . Given that , , , and , find the square of the radius of the circle.

Answers

The square of the radius of the given circle is [tex]$OP^2 = 703$[/tex]

What is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus. Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties.

We can use the concept of the power of a point, which states that the square of the distance of a point from a line is equal to the product of the distances of the point from the two tangents to the line that are drawn from the point.

Let [tex]$O$[/tex] be the center of the inscribed circle.

The power of point O with respect to AB and CD is [tex]$(OPOQ) = (1937) = 703$[/tex]

Since the Circle is tangent to AB and CD at P and Q respectively, so [tex]$OP = OQ$[/tex]

So, [tex]$OP^2 = 703$[/tex]

Hence, the square of the radius of the circle is [tex]$OP^2 = 703$[/tex]

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Complete question is: A circle is inscribed in quadrilateral [tex]$A B C D$[/tex], tangent to [tex]$\overline{A B}$[/tex] at [tex]$P$[/tex] and to [tex]$\overline{C D}$[/tex] at [tex]$Q$[/tex]. Given that [tex]$A P=19, P B=26, C Q=37$[/tex], and [tex]$Q D=23$[/tex], find the square of the radius of the circle.

When you use substitution What are the steps used to find the solution to a system of linear equations?

Answers

In one of the equations, separate one of the two variables. In the other equation, replace the expression with the value of the isolated variable from Step 1. Consequently, a linear equation with just one variable ought to emerge.

What constitutes the substitution system's solution?

The one y-value in the substitution method is replaced with the other. We'll give an example to illustrate this. Since y = y, we can replace y in the second equation with y from the first equation. The linear system's solution is (1, 6).

What are the three possible types of solutions for a linear equation?

Numerous solutions, no solutions, and a singular solution.

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5
Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
What are the missing segment lengths shown in the image?
20
10 10√3
20√3 10 2 20√2
45° 45°
4
45°
20
00
45°

Answers

The missing segment lengths are CD = 10√2, AC = 10√2, BC = 10 and AB = 10.

Drag each length to the correct location accordingly

How to find the missing segment lengths?

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

In ΔACD,

sin 45° = CD/20     (sin = opp/hyp)

(√2)/2 = CD/20

CD = (√2)/2 × 20

CD = 10√2

cos 45° = AC/20   (cos = adj/hyp)

(√2)/2 = AC/20

AC = (√2)/2 × 20

AC = 10√2

In ΔABC,

sin 45° = BC/10√2     (sin = opp/hyp)

(√2)/2 = BC/10√2

BC = (√2)/2 × 10√2

BC = (10 × 2)/2

BC = 10

cos 45° = AB/10√2   (cos = adj/hyp)

(√2)/2 = AB/10√2

AB = (√2)/2 × 10√2

AB = 10

Drag each length of the missing segment to the correct location

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2 The displacement of a mass is given by the function
y = sin 3t. 3t is measured in radians.
The tasks are to:
a) Draw a graph of the displacement y against time t
for the time t = 0s to t = 2.s.
b)
Identify the position of any turning points and
whether they are maxima, minima or points of
inflexion.
c) Calculate the turning points of the function using
differential calculus and show which are maxima,
minima or points of inflexion by using the second
derivative.
Compare your results from parts b and c.

Answers

The graph is attached and  the point of maximum as y"(π/6) < 0 and at point of minimum y"(π/2) > 0.

What is turning point and inflexion point?

An inflection point is where a graph's curvature changes, from concave up to concave down or vice versa. It is also known as a turning point, flex, inflection, or "point of diminishing returns."

A concave down graph resembles an upside-down U or a cap, while a concave up graph resembles the letter U (or a "cup"). The intersection of a "cup" and a "cap" marks the inflection point.

Given displacement of mass by function,

y = sin(3t), where 3t is in radians,

the graph for t = 0 and t = 2 sec.

2: The position of turning point,

differentiate the equation we get,

y' = 3cos(3t)

the turning points are t = π/6 and t = π/2

y'(π/6) = y'(π/2) = 0

3: inflexion points,

again differentiate the equation we get,

y" = -9sin(3t)

and inflection at π/3

because y"(π/3) = 0

Maximum and minimum points are π/6 and π/2 respectively,

as the point of maximum t = π/6 as y"(π/6) < 0,

and point of minimum at t = π/2 as y"(π/2) > 0.

Hence the graph is attached and maximum at t = π/6, and minimum at t = π/2, and inflection at π/3.

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highschool algebra:
combine like terms-

Answers

-1a^m , 2a^n


hope this helps :)

What are the 15 types of angles?

Answers

There are various classifications of angles, some of which include: Acute angles, Right angles, Obtuse angles, Straight angles, Reflex angles,  Complementary angles, Supplementary angles, Adjacent angles, Linear pair, Vertically opposite angles, Alternate interior angles, Alternate exterior angles, Corresponding angles, Conjugate angles, and Explementary angles.

It's important to note that this is not an exhaustive list and the classification may vary depending on the context.

Acute angles which measure less than 90 degrees, Right angles that measure exactly 90 degrees, Obtuse angles that measure more than 90 degrees but less than 180 degrees.

There is also Straight angles that measure exactly 180 degrees, Reflex angles that measure more than 180 degrees but less than 360 degrees, Complementary angles which add up to 90 degrees, Supplementary angles which add up to 180 degrees.

Then there is Adjacent angles that share a common vertex and a common side but no common interior points, Linear pair which add up to 180 degrees and share a common side, Vertically opposite angles that are formed by two intersecting lines and are opposite to each other, Alternate interior angles that are formed by two intersecting lines on opposite sides of a transversal and inside parallel lines, Alternate exterior angles that are formed by two intersecting lines on opposite sides of a transversal and outside parallel lines, Corresponding angles that are formed by two intersecting lines in the same relative position.

Conjugate angles are angles which are supplementary but non-adjacent, and Explementary angles are angles which add up to 90 degrees.

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victoria took a test and got 80% of the questions right. she answered 20 questions correctly. how mnay queestions were on the test

Answers

Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

How does the value of a number change when you divide by 10 100 1000?

Answers

Answer: It gets smaller

Step-by-step explanation: When you divide something by anything, the place value of the digits decreases. The digits move to the right since the number gets smaller, but remember, the decimal point does not move.

108% of 75.5 is what number

Answers

Answer:

81.54

Step-by-step explanation:

% of a # = (% * #)/100

% = 108
# = 75.5

(108 * 75.5)/100

8,154/100

81.54

OR

% of a # = (%/100) * #

% = 108
# = 75.5

(108/100) * 75.5 = 1.08 * 75.5

81.54

Write the equation of the line that passes through the points (6, 1) and
(6, -8). Put your answer in fully simplified point-slope form, unless it
is a vertical or horizontal line.

Answers

something noteworthy is that the x-coordinate is the same for each point, so Check the picture below.

Other Questions
Can you help me with this What is Tan's most likely purpose in using descriptive language to appeal to readers emotions in this excerpt? Who killed the Inca? Chelsea wants to determine the number of people in her school who read news reports on the Internet daily. She asks five people in her language arts class. Which improvements could Chelsea make to her sample to increase the validity of the results Which statement best describes the University of Georgia's impact on education in the United StatesA) The University of Georgia improved agricultural education around the nation.B The University of Georgia became a model for public universities across the nation. The University of Georgia established free primary education for all U.S. citizens. Which statement best describes the chemical relationship between glucose and cysteine?(A.) Some of the carbon, oxygen, and hydrogen atoms in cysteine were once part of a glucose molecule.(B.) All of the carbon-oxygen bonds in glucose become carbon-oxygen bonds in cysteine.(C.) One of the oxygen atoms in glucose was transformed into a sulfur atom during the synthesis of cysteine. What order do the layers go in from oldest to youngest? what is the rating of the Indus river BANKING Twin brothers Amare and Jermaine each received $1000 for graduation. Amare invests his money in an account that pays 2.25% compounded daily. Jermain invests his money in an account that pays 2.25% compoundedannually.Part AWhich brother will have more money at the end of 10 years?A) AmareB) JermaineC) The accounts will be equal.Part BTo the nearest cent, how much more money? $ which positive function of interest groups does the scenario describe an interest group concerned with pollution How does the creatures desire for help and acceptance remind you of anyone in your own life who has struggled to fit in or find help from others who do not understand that person? Do you believe the creatures actions toward Victor and his loved ones are justified? You might not approve of the killings, but do they make sense, and should he be blamed for them?Its about frankenstien* use partial quotients to solve5,1409= Which of the following is NOT an example of an effective response to stress? a. overeating b. laughing c. talking d. meditating. 1. Which of these pairs of quantities are proportional to each other? For the quantities that areproportional, what is the constant of proportionality?a. Radius and diameter of a circleb. Radius and circumference of a circlec. Radius and area of a circled. Diameter and circumference of a circlee. Diameter and area of a circle How do you write a short prologue? Organic compounds form the basis of? A person places $51200 in an investment account earning an annual rate of 5. 4%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years What is the most important reason to have life insurance? Malia signed up for a gym membership 14 weeks after Jane.Let a represent the number of weeks Malia has been a member and b representthe number of weeks Jane has been a member.Find the value of b when a = 9. What is the paradox in The Importance of Being Earnest?