A triangle has vertices at (1,3),(2,-3), and (-1,-1). What is the approximate perimeter of the triangle? A. 16 B: 14 C: 15 D: 10

Answers

Answer 1

Answer:

B 14

explanation:

i did the math

Answer 2

The perimeter of the given triangle is 14 units, so the correct option is B.

How to get the perimeter of the triangle?

The perimeter of the triangle will be equal to the sum between the distances between the given points.

Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:

[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]

For the pair of (1,3), (2,-3): the distance is:

[tex]d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08[/tex]

For the pair (1, 3) , (-1, -1) the distance is:

[tex]d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5[/tex]

For the pair (2, -3) and (-1, -1) the distance is:

[tex]d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6[/tex]

Then the total perimeter, rounded to the next whole number is:

6.08 + 4.5 + 3.6 = 14

So the correct option is B.

If you want to learn more about triangles, you can read:

https://brainly.com/question/4289712


Related Questions

in the figure on the right, the lenght of the segment A must be x + 3, the length of segment B must be x +2, and the length of segment C must be x + 1. the perimeter of the triangle is 30cm. equate the sum of the lengths of the segments to 30 and solve for x

Answers

Answer:

x=8

Step-by-step explanation:

A= x+3

B= x+2

C= x+1

A+B+C=30

[tex]x+3+x+2+x+1=30\\3x+6=30\\3x=30-6\\3x=24\\x=\frac{24}{3}\\x=8[/tex]

ANS: X=8

I NEED HELP FASTT PLEASE

Answers

It’s the third dot bc X to the tenth power times y divided by three

Answer:

x'5/3.y1/3 is the correct answer

Plz help ASAP!!!!!! Will mark brainliest

Answers

Answer:

D. 180cubic cm

Step-by-step explanation:

volume=h*w*L

V=6*5*6

v=180

For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x2+25 A) There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25. B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25. C) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25. D) The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.

Answers

Answer:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Step-by-step explanation:

Given that the function is:

[tex]y=f(x)=-x^2+25[/tex]

It is quadratic equation, therefore we can observe that it is a parabola.

The coefficient of [tex]x^{2}[/tex] is negative, therefore it opens downwards.

That means it will have a maximum value.

This maximum value is at the vertex and where x = 0.

Also, vertex is at x intercept.

x intercept is the value of x where we have y = 0 and

y intercept is the value of y where we have x = 0

So, let us put y = 0 first.

[tex]0=-x^2+25\\ \Rightarrow x^{2} =25\\\Rightarrow x =5, -5[/tex]

Therefore x intercepts are at (5, 0) and (-5, 0)

Now, let us put x = 0,

[tex]y=0+25\\\Rightarrow y =25[/tex]

Therefore y intercept is at (0, 25).

It is the point of maximum value (which is 25) and vertex of parabola as explained above.

Kindly refer to the attached image for the graph of given function.

Therefore, correct option is:

B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

Answer:

Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3

Step-by-step explanation:

how many teacher are there in your class-7 including your class supervisor? how many are Male teachers and female teachers?express Male and female teachers in percent.
soln
total teachers = 11
male teachers = 5
female teachers =6
now,

Answers

Answer:

45% male teachers

55% female teachers

Step-by-step explanation:

multiply the number of teachers with 100 and divide it by the total number of teachers

5. What is the slope of the line that passes through (-2, 4) and (7, 1)?
-9/5
-1/3
3
5/9​

Answers

Answer:

Slope: [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1:  Use slope formula to find the slope

[tex]m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}[/tex]

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is [tex]-\frac{1}{3}[/tex]

a store makes a profit of $1000 in January. in February the sales are up 25%, but in March the profit is down 25%. The manager says the profit for the march is still $1000. What is his error? What is the actual profit for the march?

Answers

Answer:

The profit is 937.50$ The manager subtracted 25% from januarary's profit not march's.

Step-by-step explanation:

1000 times 25% is 1250 - 25% = 937.50

Answer:

Step-by-step explanation:

The profit is 937.50$ The manager subtracted 25% from januarary's profit, not march's.

Step-by-step explanation:

1000 times 25% is 1250 - 25% = 937.50

-ax-20=-14
solve the equation

Answers

-ax-20=-14
add 20 to both sides
-ax=6

Which of the following graphs represent functions Circle your answers. If it is a function, state the domain
and range. If the graph is not included, make a table and graph the function by hand.

Answers

Answer:

Step-by-step explanation:

A). y = |2x - 3| + 1

  Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).

  From the graph,

  Domain : (-∞, ∞)

  Range : [1, ∞)

B). Table of the input-output values of the function,

  y = x² - 2x + 1

  x         -2         -1           0         1          2

  y          9          4           1         0          1

 By graphing the function as attached,

 Domain of the function : (-∞, ∞)

 Range of the function : [0, ∞)

C). x² + y² = 3²

 Domain of the function : [-3, 3]

 Range of the function : [-3, 3]

D). x = 5

 Domain of the line : [5, 5]

 Range of the line : (-∞, ∞)

6х + Зу = 12
solve for y ​

Answers

Answer:

3.

Step-by-step explanation:

Rearrange to make it easier:  6*x+3*y-(12)=0

Find like factors and eliminate them: 6x + 3y - 12  =   3 x (2x + y - 4)

So then you get 3 = 0. So y would be 3.

Explain how u can decide where to place the first digit of the answer for 6,139 / 153

Answers

Answer:

The first digit would go in the tens place.

Step-by-step explanation:

First we estimate the approximate numbers. For 6130 we estimate 6000 and for 153 we estimate almost 150.

So dividing 6000 by 150 would give 40 .

The four would go in the ten's place .

Now check by dividing

         40.1     So the answer is correct. The quotient is 40.12.

[tex]153\sqrt{6139}[/tex]

      612

           190

           153

             37

The first digit would go in the tens place.

The answer is justified. We can easily decide where to place the first digit.

Step-by-step explanation:

explain how you can decide where to place the first diget in the quotiont for 6,139÷135

Tarun has a few balloons with him. The number of balloons he has is MORE than 15 but LESS than 20. He gives 5 of them to Sia. What could be the number of balloons LEFT with Tarun

Answers

Answer:

No. of balloons left with Tarun is MORE than 10

but LESS than 15.

10 < No. of balloons left with Tarun  <15

Step-by-step explanation:

this is problem of inequality . first we will try to write the existing condition in inequality form then apply other situation as given in the problem.

___________________________________________________

let the no . of balloons with Tarun be x

Given  he has is MORE than 15 balloons

thus, in equality it can be represented as

x > 15

he has LESS than 20 balloons

x < 20

combining both we have

15   < x < 20

now he gives 5 of them to sia

so we have to subtract 5 from inequality

he has left with him x-5 , let x-5 be y

thus,

subtracting 5 from each part of inequality

15  -5 < x-5 < 20 -5

10 < x-5 < 15

10 < y <15

Thus, No. of balloons left with Tarun is MORE than 10

but LESS than 15.

Plzzzzz help will give brain and points!!! Explain why a quadratic equation with a positive discriminant has two real solutions, And why a quadratic equation with a negative discriminant has no real solution, And a quadratic equation with a discriminant of zero has one real solution.

Answers

Answer:

The given equation is -2x^2 = -8x + 8

This can be rewritten as 2x^2 - 8x + 8 = 0

Here the value of a =2, b = -8 and c = 8

Discriminant = b^2 - 4ac

Now plug in the above values in the discriminant, we get

= (-8)^2 - 4*2*8

= 64 - 64

= 0

Here the discriminant is 0, so we will get one real root.

The discriminant is equal to 0, which means the equation has one real number solution.

Hope this will helpful.

Thank you.

the sum of squares of two consecutive odd numbers is 514 find the numbers ​

Answers

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

[tex]\rule{130}1[/tex]

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

[tex]\rule{130}1[/tex]

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup[/tex]

When,

[tex]\bullet\: \textsf {x = } \textbf {15} [/tex]

[tex]\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17} [/tex]

[tex]\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.[/tex]

PLZ HELP HURRY PLZ Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Which of the following inferences can be made based on the data? Most members prefer a beach vacation. Most members prefer a adventure vacation. More members prefer an adventure vacation and a ski vacation than a cruise vacation. More members prefer a beach vacation and ski vacation than an adventure vacation.

Answers

Answer: Choice D)

More members prefer a beach vacation and ski vacation than an adventure vacation.

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

Explanation:

Let's go through the four answer choices to see which one is true.

Choice A is false because most members prefer a cruise, as 70+72 = 142 is the largest column sum. Choice B is false for the same reasoning as choice A.Choice C is false. We have 6+1 = 7 people who prefer adventure and 19+21 = 40 who prefer to ski, giving 7+40 = 47 people who prefer either. But this is nowhere near 142 we found back in choice A above. So more people prefer a cruise than the combined amount for adventure and ski.Choice D is true. Adding the column totals for "beach" and "ski" gives (5+6)+(19+21) = 11+40 = 51, and this exceeds the column total of "adventure (6+1 = 7).

A large ice cream distributor wants to analyze the effect of season (winter, spring, summer, fall) on daily ice cream sales in dollars. How many independent variables does the manufacturer need to include in the multiple regression model?

Answers

Answer:

4

Step-by-step explanation:

The independent variable is the variable used to explain the dependent variable.

The researcher wants to know how the seasons (independent variable) affects ice cream sales (dependent variable).

The researcher would regress ice cream sales against each season. There are four seasons, so the independent variable would be four

Which fractions are equal to 2/3 ? Check all that are true. 1/3 6/9 4/6 1/6 3/2

Answers

Step-by-step explanation:

2/3=4/6=6/9

your answer is 4/6,6/9

explanation

(2/3)×2=4/6

therefore 4/6 is a multiple of 2/3

(2/3)×3=6/9

therefore 6/9 is a multiple

if we comprise 4/6 & 6/9 we get 2/3

(b) 6/9 and (c) 4/6 are equivalent to 2/3

The fraction is given as:

[tex]\mathbf{Fraction = \frac 23}[/tex]

The equivalent fractions are 6/9 and 4/6, because they can be reduced to 2/3.

The proof is as follows

[tex]\mathbf{Fraction = \frac 69}[/tex]

Divide the numerator and the denominator by 3

[tex]\mathbf{Fraction = \frac{6/3}{9/3}}[/tex]

[tex]\mathbf{Fraction = \frac{2}{3}}[/tex]

Also, we have:

[tex]\mathbf{Fraction = \frac 46}[/tex]

Divide the numerator and the denominator by 2

[tex]\mathbf{Fraction = \frac 23}[/tex]

Hence, 6/9 and 4/6 are equivalent to 2/3

Read more about equivalent fractions at:

https://brainly.com/question/17912

On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM? number line shown below

Answers

Answer:

F. 12

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

Total ratio = 6

Dividing each length based on ratio

length JK = 2/6 * JM

JK = 1/3 * 24

JK = 8

length KL = 1/6 * JM

KL = 1/6 * 24

KL = 4

length KM = 3/6 * JM

KM = 1/2 * 24

KM = 12

Hence the value of KM is 12

Helppppppppp please !!!

Answers

Answer:

Hey there!

Rhianna has 1/2 of a box of pencils left after using some at school.

The bottom two boxes would be 3÷3=1.

Let me know if this helps :)

Answer:

2

Step-by-step explanation:

There are 6 spaces and three are shaded

= [tex]6\div 3 = 2\\[/tex]

Gary used candle molds, as shown below, to make candles that were perfect cylinders and spheres: What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14. A.) 16.75 cubic inches B.) 20.93 cubic inches C.) 24.25 cubic inches D.) 33.49 cubic inches

Answers

Answer:

A.) 16.75

Step-by-step explanation:

First, find the volume of each mold:

[tex]Cylinder_{volume}[/tex] = πr²h

Where,

π = 3.14

r = 2 in

h = 4 in

[tex]Cylinder_{volume} = 3.14*2^2*4 = 50.24 in^3[/tex]

[tex]Sphere_{volume}[/tex] = ⁴/3πr³

Where,

π = 3.14

r = 2 in

[tex]Sphere_{volume} = \frac{4}{3}*3.14*2^3 = 33.49 in^2[/tex]

Approximate difference in the amount of wax needed = 50.24 - 33.49 = 16.75 in^3

Answer:

A

Step-by-step explanation:

The school ski club went on a ski trip. The ski changed the group $1120 for 32 lift tickets. How much was each ticket?​

Answers

Answer:

$35 per ticket

Step-by-step explanation:

1120 divided by 32 is 35, I used a calculator. If you divide the cost by the quantity you will get the cost for one quantity

The Article states:
Jim LeBrecht is a former Jened camper. He uses a wheelchair because he has
spina bifida. In a documentary about the camp, LeBrecht described the frustration
he felt as a teen: "I wanted to be part of the world, but I didn't see anyone like me in
it."
Which is the closest antonym for the word former?
A traditional
B
skillful
с
patient
D
current

Answers

Answer: D) current

"Former" means "past", more or less. So he used to be a camper.

Antonym means the opposite.

I would say "future" is more opposite than "past", but "current" works as well too.

Solve the equation
(please show work if possible)

Answers

Answer:

-10

Step-by-step explanation:

imma be honest all i do is put in different numbers until it is right. But the way to do it is subract 2 by puting it under the negative 3 and you get -5. then multiply the 2 by putting it under the -5. you get -10. and the answer will read r = -10. Therefore r is -10

Answer:

I’m sorry I thought I saw a positive 3, The correct answer would be -10.

12. Rice is sold in 75 gram packs and 120 gram packs.
The masses of both packs are given correct to the nearest gram.
Calculate the lower bound for the difference in mass between the two packs.

Answers

Answer:

44g

Step-by-step explanation:

Rice is sold in 75-gram packs and 120-gram packs.

74.5  to  75.5                               119.5 to 120.5

 

lowest possible difference = 119.5 - 75.5 = 120-75-1 = 44g

cual es la raíz cuadrada de cuatro

Answers

Answer:

2

Step-by-step explanation:

√4 = 2



la raíz cuadrada de cuatro es 2


I will Give BRAINLIEST!!!!!!!!

Answers

Answer:

2nd and 4th

Step-by-step explanation:

16.50÷6=2.75

So the second one is true.

12x2.75=33

So the fourth one is true.

Answer:

The first and fourth statements are true.

Step-by-step explanation:

We know that 6 pounds of blueberries costs $16.50 so 1 pound costs 16.5 / 6 = $2.75. Therefore, the first statement is true. The second statement can't be true because this is a direct proportion. In a direct proportion, when one variable increases, the other increases as well so the price of 2.75 pounds can't be less than the price of 1 pound. The cost of 5 pounds is 2.75 * 5 = 13.75 so the third statement is false. The cost of 12 pounds will be 2.75 * 12 = 33 so the fourth statement is true. The cost of 3 pounds is 2.75 * 3 = 8.25 so the fifth statement is false.

X+5x -9 + XY - 2 -3X +2XY - 4 -3XY ​

Answers

Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15

A car is at a distance s, in miles from its starting point in t hours, given by s(t)=10t^2. Find s(2) and s(5). Find s(5)-s(2). What does this represent? Find the average rate of change from t=2 to t=5. This is the average velocity

Answers

Answer:

Average Velocity= 70 miles per hour

Step-by-step explanation:

Distance= s

Time = t

s(t)=10t^2

Putting the values

s(2) = 10 (2)^2= 10&4

s= 40

s(5) = 10 (5)^2 = 10*25

S(5)= 250

The average velocity is defined as the rate of change of speed in unit time.

So

Speed= distance/time

Velocity = Speed in a definite direction

Average Velocity= Displacement/ Time

Average Velocity= Change in distance/ Change in time

s(5) - s(2)/ t(5)- t(2)

= 250-40/5-2= 210/3= 70 miles per hour

If $1205 is borrowed for 11 years at an annual simple interest rate of 11.3%, what is the total
amount that must be repaid rounded to the nearest cent

Answers

Answer:

$2,702.82

Step-by-step explanation:

The formula for simple interest is

I = Prt

where

I = interest amount

P = amount invested (the principal)

r = annual rate of interest

t = time in years

11.3% = 0.113 as a decimal

Now we use the formula to find the amount of interest earned.

I = $1,205 * 0.113 * 11

I = $1,497.82

The interest amount is $1,497.82.

Now we add the earned interest to the principal amount.

$1,205 + $1,497.82 = $2,702.82

if the compound interest on Rs 16000 in 3 years is Rs 2522 find the rate of interest​

Answers

Answer:

Step-by-step explanation:

present value | $741.37 (US dollars)

Other Questions
Which bond is intermediate in terms of strength? why is it weaker than the strongest? ap bio? A circuit with a lagging 0.7 pf delivers 1500 watts and 2100VA. What amount of vars must be added to bring the pf to 0.85 Because David's army entered the city unexpectedly, the Jebusites were conquered. a. Simple c. Compound-Complex b. Compound d. Complex Please select the best answer from the choices provided A B C D What is the fastest way to move data over long distances using the internet, for instance across countries or continents to your Amazon S3 bucket? Bank A charges $30 monthly fee for a check account bank B charges $15 a month How much would Keiko pay at each bank each month What type of essay is African Noel? Which reaction is exothermic? CH4 + 2O2 Right arrow. CO2 + 2H2O + 891 kJ NH4NO3 + H2O + 25 kJ Right arrow. NH4+(aq) + NO3-(aq) 2H2O + 286 kJ Right arrow. 2H2 + O2 N2 + O2 + 181 kJ Right arrow. 2NO Vane's income tax rate is 30%. In Vane's 20X3 multiple-step income statement, what amount should Vane report as income after income taxes from continuing operations "Construct c=a+b by drawing and calculating the direction and magnitude of c. The direction should be measured from the +x-axis" how do you do this problem? Account Title Debit CreditCash $7,800 Accounts receivable 15,500 Office supplies 6,160 Trucks 200,000 Accumulated depreciationTrucks $36,256 Land 43,000 Accounts payable 10,100 Interest payable 20,000 Long-term notes payable 40,000 K. Wilson, Capital 171,525 K. Wilson, Withdrawals 45,000 Trucking fees earned 121,000 Depreciation expenseTrucks 23,385 Salaries expense 56,046 Office supplies expense 9,000 Repairs expenseTrucks 10,277 Totals $398,881 $398,881 Use the above adjusted trial balance to prepare Wilson Trucking Companys classified balance sheet as of December 31, 2017. Can someone help ASAP please! Finding a place to live in Mumbai, India, has been getting harder these days for people who are not vegetarians. Vegetarianism is a centuries-old custom among the Indian population, but the requirement is becoming more obvious as non-vegetarians are being 24a + 72b - 40c whats the answer can somebody help me Im confused Describe the opposite of a positive integer, the opposite of a negative integer, and the opposite of zero. Order these from least to greatest. -13/8, -2.1, -26/13, -9/4 I know how to do this I'm just to lazy too and I want to chat. The complete combustion of copper(I) sulphide is according to the following equation:2Cu2S(s) + 302(g) 2Cu2O(s) + 2SO2(g)If the mass of Cu2S in the mixture is 14.0 g, calculate(a) the number of molecules of oxygen gas reacted.(b) the mass of SO2 gas produced.(c)the volume of SO2 gas at STP Bob thought of an even and odd number, multiplies the numbers together, added 6, divided by 5, and subtracted 3 to give an answer of 1. What was the odd number he started with? How did Taiwan become part of China? What is the distance between the two numbers on this number line? -13 and 28 If tan =3/4, then evaluate 3sin +2cos