A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.

Answers

Answer 1
Use the distance formula to find the length of the sides, then add them up to find the perimeter.

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

For points in the form of (x1, y1), (x2, y2).

(-1, 2), (3, 1)

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

[tex]\sf d=\sqrt{(4)^2+(-1)^2}[/tex]

[tex]\sf d=\sqrt{16+1}[/tex]

[tex]\sf d=\sqrt{17}[/tex]

(3, 1), (7, 2)

[tex]\sf d=\sqrt{(7-3)^2+(2-1)^2}[/tex]

[tex]\sf d=\sqrt{(4)^2+(1)^2}[/tex]

[tex]\sf d=\sqrt{16+1}[/tex]

[tex]\sf d=\sqrt{17}[/tex]

(7, 2), (-1, 2)

[tex]\sf d=\sqrt{(-1-7)^2+(2-2)^2}[/tex]

[tex]\sf d=\sqrt{(-8)^2+(0)^2}[/tex]

[tex]\sf d=\sqrt{64+0}[/tex]

[tex]\sf d=\sqrt{64}=8[/tex]

So the perimeter will be:

[tex]\sf 8+\sqrt{17}+\sqrt{17}\approx\boxed{\sf 16.25}[/tex]
Answer 2

Answer:

Step-by-step explanation:


Related Questions

The Game Room Of The youth center needs carpet . Sweat T found that the room Measures 12 Inches by 8 inches on the blueprint of The Scale of The Blueprint is 1 inch To 3 feet , what is the actual area of the game room

Answers

the scale is 1 inch to 3 ft

and if 1 inch = 3 ft, then 12 inches = (12 *3) = 36 ft
and 8 inches = (8 * 3) = 24 ft

A = L * W
A = 36 * 24
A = 864 square ft <==

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?

Answers

Use the form y=mx+b where m is the slope and b is the y-intercept: y=4/5x-6

Answer:

y = 4/5x-6

Step-by-step explanation:

Edge 2020

Please Help...................

Answers

When you are multiplying numbers with exponents, you always add them.
(5^4) * (5^8)
5^(4+8)
5^12

Answer is 
A. 5^12
its going to be the first choice cause u have to add the exponet

answer 5 of the power of 12 or 5 exponet 12

I REALY NEED HELP!
A kite’s diagonals WY and ZX intersect at point V. Which of the following are true? Select all that apply.
1.)∠WVX = 90°
2.)∠ZVY = 90°
3.)WY is parallel to ZX
4.)WY is perpendicular to ZX
5.)WY = ZX

Answers

its 1 , 4, 5 thats the answers

Answer:  The correct options are

(1)∠WVX = 90°,

(2)  ∠ZVY = 90°

and

(4) WY is perpendicular to ZX .

Step-by-step explanation:  Given that WY and ZX are the diagonals of a kite that intersect at the point V.

We are to select the correct statements from the given options.

KITE: A quadrilateral having adjacent sides congruent and the diagonals bisect each other perpendicularly.

As shown in the attached figure, WY and ZX are the diagonals of the kite WZYX.

Since WY and ZX intersect at the point V, so they will bisect each other perpendicularly.

That is, WY is perpendicular to ZX. And, also

∠WVZ = ∠WVX = ∠ZVY = ∠XVY = 90°.

Since WZ is perpendicular to ZX, so they cannot be parallel.

Also, since the diagonals of a kite may not be equal, so WY ≠ ZX.

So, options (3) and (5) are incorrect.

Thus, the correct options are

(1)∠WVX = 90°,

(2)  ∠ZVY = 90°

and

(4) WY is perpendicular to ZX .

the nutritional chart on the side of a box of cereal states that there are 93 calories in a 3/4 cup serving how many calories are in 5 cups of cereal

Answers

5 / 3/4 = 5/1 * 4/3 = 20/3 = 6 2/3


6 2/3 * 93 = 20/3 * 93/1 = 1860/3 = 620 calories

93/.75 = x/5
Cross multiply
.75x = 5*93
.75x = 465
Divide both sides by .75
x = 620 calories

Is it possible for two different inputs to give you the same output? Justify your answer please.

Answers

yes it is possible. input and outputs yayyyy
Yes it to is possible

A commuter has $245 in his commuter savings Account. This account changes by -$15 each week he buys a ticket.

A- if the account changes by -$240, for how many weeks of tickets did the commuter buy?

B- if the commuter wants to buy 20 weeks of tickets, how much must he add to his accoumt?

Answers

the account changes by -15 each week he buys a ticket....that means each ticket costs 15 bucks.

if the account changes by -240......240/15 = 16....so he bought 16 weeks of tickets

if he wants to buy 20 weeks....and the tickets cost 15 bucks...he would have to add (20 * 15) = 300 bucks.....thats if he doesn't have any in his account

find the greatest common factor of each set of numbers 24,30,42

Answers

the creates common factor for all of them is 6
The greatest common factor of 24,30,and 42 is 6
If you look at all their multiples the highest is 6

what is an equivalent ratio

Answers

Equivalent ratios are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number.

Two ratios that are equivalent means that they are equal to each other.

HELP PLEASEEE I WILL GIVE BRAINLIEST ANSWER!!!!!!!!!!

The dot plot shows how many attempts it took for each student to complete a puzzle:


Is the median or the mean a better measure of center for these data and why?


 Mean, because the data are skewed and there are outliers

 Mean, because the data are symmetric and there are no outliers

 Median, because the data are skewed and there are outliers

 Median, because the data are symmetric and there are no outliers

Answers

The best answer is Mean, because the data are symmetric and there are no outliers

Answer:  Mean, because the data are symmetric and there are no outliers.

Step-by-step explanation:

The given dot plot shows how many attempts it took for each student to complete a puzzle.

From the given dot plot, we observe that it has no outlier and the data is symmetric.

Therefore , the mean is a better measure of center for these data because mean the data are symmetric and there are no outliers .

"If a data is skewed or has outliers, then we choose median to measure the center of data over mean."

I need some help please.

Answers

answer is (0,-8) see picture:

How can x + 3 = −2x + 5 be set up as a system of equations

Answers

I also think that it's already a system of equation but you could simplify it into 3x=2 or 1x=1.5

Calculate the average of 7081 and 8890

Answers

i am pretty sure it is 7985.5

The average of 7081 and 8890, is 7985.5.

Calculating the Average

To calculate the average of two numbers, you add the numbers together and then divide the sum by 2.

Here are the steps:

Add the numbers: 7081 + 8890Sum: 15971Divide the sum by 2: 15971 / 2Result: 7985.5

Therefore, the average of 7081 and 8890 is 7985.5.

Which scenario best matches the linear relationship expressed in the equation y = 32x + 80? (4 points)


a. Joseph has $80 in his bank account and spends $32 each day.
b. Joseph has $80 in his bank account and earns $32 each day.
c. Joseph had $32 in his bank account and deposited another $80.
d. Joseph has $32 in his bank account and earns $80 each day.

Answers

Each day the amount increases by $32 and at days=0 he had $80 so:

b. Joseph has $80 in his bank account and earns $32 each day.

I really need help! come ASAP!!!

A sporting goods store buys a basketball for $15.00 and then adds a 75% markup to the price. How much will the basketball sell for in the store?

Answers

100 minus 75 would be 25%
Turn 25% into a decimal and you would get .25
Then multiply that by 15 and you would get $3.75

$15.00 minus $3.75 you would get $11.25

The basketball would cost $11.25.

Hope this helps!

Which transformation can verify congruence by sliding one triangle over another

Answers

Translation by moving the two shapes to the same points you can verify its congruence. 

John and Jim painted a
fence John painted 1/4 of the fence and Jim painted 5/12 of the fence how much of the offense did they paint total

Answers

1/4+5/12=3/12+5/12=8/12=4/6=2/3

they painted 2/3 of the fence

A wooden plank of length x is cut into 8 sections such that each section is at most 2 1/2 meters long. What is the length of the entire plank in meters?

Answers

5/2 * 8 = 40/2 = 20

x < = 20 meters ..ur answer

Using synthetic division, how do you know if a given value is a root of a polynomial function?

Answers

When using synthetic division, if the answer has no remainder, it means it is a root of the polynomial function

Final answer:

A given value is a root of a polynomial function if, after using synthetic division, the remainder is zero. The remainder is found in the last position of the bottom row after performing synthetic division with the given value.

Explanation:

To determine if a given value is a root of a polynomial using synthetic division, follow these steps:

Write down the coefficient of the polynomial.

Place the value you want to test for being a root (let's call it 'c') to the left of the coefficients.

Bring down the leading coefficient to the bottom row.

Multiply 'c' by the value you just brought down and write the result underneath the second coefficient.

Add the second coefficient to the product you just wrote down and write the sum in the bottom row.

Repeat the multiplication and addition process until you reach the end of the row.

If the last number in the bottom row, which represents the remainder, is zero, then 'c' is a root of the polynomial. If the remainder is not zero, 'c' is not a root.

Understanding how to perform such operations is essential, especially when dealing with complex equilibrium problems where square roots, cube roots, or higher roots come into play. If unsure about carrying out these operations, particularly on a calculator, it is advisable to seek assistance from your instructor.

What is twice 2 to the 30 power? Write in exponents. Explain your reasoning

Answers

Twice 2 to the 30-th power is
2*2³⁰ = 2¹*2³⁰ = 2³¹

For very large numbers, it is the usual practice to use scientific notation.
From the calculator, obtain
2³¹ = 2.1475 x 10⁹

Answer:  2.1475 x 10⁹

heartbeat takes 0.8 seconds.how many seconds is this written as a fraction?

Answers

0.8 = 8/10

simplified = 4/5 seconds

hope this helps
0.8 written as a fraction is 4/5

Of 480 students in a high school, 180 were in ninth year. What percent of the students in the school were in the ninth year

Answers

180/480 =0.375

0.375 = 37.5%

so 37.5% of kids are in 9th grade

Find the percent of discount. Round to the nearest tenth. original price $24,365; selling price $16,820

Answers

24365x = 16820
x = 16820/24365
x(rounded to the nearest tenth) = 0.70

Answer:

The percentage of discount is 31.0 % ( approx )

Step-by-step explanation:

Given,

The original price = $ 24,365

Selling price = $ 16,820

Thus,

[tex]\text{The percentage of discount}=\frac{\text{Original-Selling price}}{\text{Original price}}\times 100[/tex]

[tex]=\frac{24365-16820}{24365}\times 100[/tex]

[tex]==\frac{7545}{24365}\times 100[/tex]

[tex]=\frac{754500}{24365}[/tex]

[tex]=30.9665503796\%[/tex]

[tex]\approx 31.0\%[/tex]

At a snack shop, Julie bought 1/3 of a pound of jelly beans for three quarters. What is the unit price of jelly beans at the snack shop?

Answers

9 quarters or $2.25 because if 1/3 of a pound is 3 quarters then 1 pound is 9 quarters because you have to multiply both of them by three.

Gabriel drives 80 kilometers in one hour. if he drives at the same speed, how many kilometers can he drive in 3.75 hours?

Answers

80/4=20 20/4=5  The answer to this problem is 300 Kilometer in 3.75 hours

34 + 2 ⋅ 5 = ____. (Input whole numbers only.)

best answer gets BRAINIEST!!!!!!

Answers

34 + 2 * 5 =
34 + 10 =
44 <==
The answer is 44.

34 + 2 x 5
34 + 10
44

The graph below shows a system of equations:

Draw a line labeled y equals 2x minus 5 by joining the ordered pairs 0, negative 5 and 4, 3. Draw a line labeled y equals negative x minus 2 by joining the ordered pairs negative 3,1 and 3, negative 5

The x-coordinate of the solution to the system of equations is __________.

Answers

Answer is (1, -3) i think ?

The x-coordinate of the solution to the system of equations is 1 unit.

What is a system of equations?

"A 'system' of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables."

"A solution for a single equation is any point that lies on the line for that equation. A solution for a system of equations is any point that lies on each line in the system."

Since, the given equation are

[tex]y = -x - 2[/tex] ----------------------- eq 1

and [tex]y = 2x - 5[/tex]  -------------------eq 2

now solving them,

subtracting eq 2 from eq 1

we get,

3x = 3

x = 1  and y = -3

Hence, the x-coordinate of the solution to the system of equations is 1 and y coordinate is -3.

To know more about system of equation here

https://brainly.com/question/12895249

#SPJ2

Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±5/6x.

Answers

Standard form equation of hyperbola is:
y² / a² + x² / b² = 1
Vertices are: ( 0, a ) and ( 0, - a ) so :  a = 10
Asymptotes are : y = +/- a/b x
a/b = 5/6
10/b = 5/6
5 b = 60
b = 60 : 5
b = 12
Answer:
y² / 100 + x² / 144 = 1

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3.86P P equals 3.86 over n n equals 3.86 over P P = 3.86n

Answers

The last Equation is Correct: P = 3.86n
Meaning N as the number of sets and P as the total price of the # of sets times the unit price.
P=3.86n 
P=Price
N=Number of pens you buy
The price depends on the number of pens that you buy. Each pen costs $3.86, so you will have to multiply the price of each pen by the number of pens that you buy and it will give you your price to pay.
Hope this helped.

x-1=5x+3x-8
help this confused child

Answers

x-1= 5x+3x-8

Combine like terms
x-1= 8x-8

Our goal is to isolate x by cancelling out other numbers.
Subtract x from both sides
x-1-x= 8x-x-8
-1= 7x-8

Add 8 to both sides
7=7x

Divide both sides by 7
1=x

Final answer: x=1
Other Questions
Which sentence shows the correct use of a common homophone?I would like to come along with everyone, too.After school, you need to go two the library.We should arrive at the house by to oclock.Julio bought to many sandwiches and chips. Angle c and angle d are supplementary, the measure of angle d is eight times the measure of anglec. find measure of angle c and measure of angle d What is the sum of the measures of the exterior angles in a heptagon? Explain ATP molecules, which are used for energy by cells, are built during all three stages of cellular respiration. Which stage of cellular respiration generates the most ATP molecules? The Krebs cycle O Glycolysis O The electron transport chain O Fermentation OThe electron transport chain 1) What kind of figure is formed by the cross section below?squarerectanglecircleellipse that is not a circle Could anything have been done to resolve the issues of the sectional crisis of the 1850s? explain. At what value of x does the graph of the function f(x) have a vertical asymptote?F(x) = 5X/ 2X-6 How often is the number of house representatives assigned to states reallocated? every 2 years every 6 years every 10 years never? Before cities can exist, it is necessary that the civilization have:enough farmlandlarge population of nonfarmerslarge amount of industrycomplicated road systemenough food A 60 year old female has survived a myocardial infarction, the nurse is providing care for impaired ventriclar function because You invest $9000 with a 6% interest rate compounded semiannually. After 9 yrs, how much money is in your account? Solve the quadratic equation by completing the square.x^2-10x+15=0First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.Form:( x + _ )^2 = _or( x - _ )^2 = _Solution:x = _ A mother has 3 kids. Kid A is half the mother's current age. Kid B is 4 years younger than Kid A. In 3 years, Kid C will be 1/5 of his mother's age (not her current age). The sum of all their current ages is the mother's current age. How old is the mother currently? How old is each of her kids? Eight less than a number is seventy-five. What is the number? -67 67 83 In the general election for governor, the democratic candidate received 48 percent of the vote, the republican received 47 percent of the vote, and the libertarian candidate got 5 percent. what is the outcome of the general election? norris company declared cash dividends of $60,000 during the year. cash dividends payable were $20,000 at the beginning of the year and $25,000 at the end of the year. the amount of cash norris co. used for payment of dividends during the year was If trap is an isosceles trapezoid, what is the value of x a rectangular floor is 18 feet long and 12 feet wide. what is the area of the floor in square yards Statistically speaking, about how many times in your life will you be involved in a collision? What do we call the unreasonable restriction of business activities that results from conspiracy among members of a trade? Steam Workshop Downloader