ABC is shown on the coordinate plane below


What is the perimeter of △ABC? If necessary, round your answer to the nearest tenth.

ABC Is Shown On The Coordinate Plane Below What Is The Perimeter Of ABC? If Necessary, Round Your Answer

Answers

Answer 1

Using the distance formula, the perimeter of triangle ABC is approximately 40.5 units.

What is the Perimeter of a Triangle?

Perimeter = sum of all three sides.

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}[/tex] to find the distance between each of the vertices of the triangle.

The given vertices are:

A = (-6, 4)B = (8, -1)C = (0, -9)

AB = √[(8−(−6))² + (−1−4)²]

AB = √221

AB ≈ 14.9 units

BC = √[(8−0)² + (−1−(−9))²]

BC = √128

BC ≈ 11.3 units

AC = √[(−6−0)² + (4−(−9))²

AC = √205

AC ≈ 14.3 units

Perimeter of △ABC = 14.9 + 11.3 + 14.3

Perimeter of △ABC ≈ 40.5 units

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Related Questions

-34 + 2x divided by -8

Answers

Answer:

-34+x/4

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

Since you did not specify, we will assume that your equation is equal to 0.
1. (-34+2x)/(-8) = 0     (multiply both sides by -8)
2. (-34+2x) = 0  (add 34 to both sides)
3. 2x = 34 (divide both sides by 2)
4. x = 17

A country has two political parties, the Reds and the Blues. The 100-member senate has 44 Reds and 56 Blues. How many ways are there to pick a 10 member committee of senators with the same number of Reds as Blues

Answers

There are 4.15E12 ways to select the members of the committee to have the same number of Reds as Blues

How to determine the number of ways?

The given parameters are:

Reds = 44

Blues = 56

Committee member = 10

To have the same number of Reds as Blues, the committee must have 5 reds and 5 blues.

So, the number of ways is;

Ways = 44C5 * 56C5

Evaluate the combination expressions:

Ways =  1.086008 E+6 *  3.819816 E+6

Evaluate the product

Ways =  4.15E12

Hence, there are 4.15E12 ways to select the members of the committee

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if you do 12 minutes of a 45 minute workout how many calories is it? (the 45 minutes is 1000 calories in total)

help!

Answers

Answer:

266[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

if a 45 minute workout is 1000 calories, at the same rate, a 12 minute workout would be 266 calories and 2 thirds. [tex]\frac{12}{45}[/tex] x 1000 = 266[tex]\frac{2}{3}[/tex]

Consider 8x-4 = 8^10

Answers

Sorry I just need some points I’d love to help but I’m on here the same reason u are lol

Are the equations 4-5x=24 and 5x=20 equivalent?​

Answers

Answer:

not equivalent

Step-by-step explanation:

solve for x

4-5x=24

-5x=20

x = - 4

5x=20

x = 4

no they are not equivalent

a rectangle mural measure 234 inches by 245 inches, rihanna created a mural 33 inches longer

Answers

Rhiannna needs 1024 inches longer bedspread if Rhiannna gets a new bedspread that is 33 in length.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degrees. It is a type of quadrilateral.

The question is incomplete.

The complete question is:

Rhiannna has a rectangular bedspread that measures 234 in. By 245 in. She wants to sew a fringe around the edge of the bedspread. What length of fringe does Rhiannna need to purchase. Rhiannna gets a new bedspread that is 33 in length. What length of the fringe does Rhiannna need for the longer bedspread?

We know perimeter of the rectangle = 2(length + width)

= 2(234 + 245 )

= 958 inches

Rihannon gets a new bedspread that is 33 in length:

New perimeter = 2(33) + 958 = 1024 inches

Thus,  Rhiannna needs 1024 inches longer bedspread if Rhiannna gets a new bedspread that is 33 in length.

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Without using the formula, work out the gradient of the graph shown.

Answers

Answer:

1/3

Step-by-step explanation:

Read the statement.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are
true? Select two options.
Op q represents the original conditional statement.
~p~q represents the inverse of the original conditional statement.
q- p represents the original conditional statement.
-q- ~p represents the converse of the original conditional statement.
Op q represents the contrapositive of the original conditional statement.
-
Mark this and return
Submit
Next

Answers

The options that are true as a result of doubling the rectangle dimensions are;

p → q represents the original conditional statement.

p → ~q represents the contrapositive of the original conditional statement.

What are conditional statements?

We are told that;

Doubling the dimensions of a rectangle increases the area by a factor of 4.

Now, p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.

Thus, using conditional statements notation, we can say that;

p → q represents the original conditional statement.

p → ~q represents the contrapositive of the original conditional statement.

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Kian borrowed £1900 at a simple interest rate of 8% per year.
After a certain number of years, he owes a total of £2812 on this loan.
How many years have passed since he took out the loan?

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 2812\\ P=\textit{original amount deposited}\dotfill & \$1900\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 2812=1900[1+(0.08)(t)]\implies \cfrac{2812}{1900}=1+0.08t\implies \cfrac{37}{25}=1+0.08t \\\\\\ \cfrac{37}{25}-1=0.08t\implies \cfrac{12}{25}=0.08t\implies \cfrac{ ~~ \frac{12}{25} ~~ }{0.08}=t\implies 6=t[/tex]

What is the quotient if 4/15 of 40 is divided by 1/2 of 1/8?

Answers

Answer:

l

Step-by-step explanation:

(3x-2)(3x-2)(3x-2)(2x+1)

Answers

Well we combine like terms so 11x-5

Solve system of equation using elimination by addition.

Will give brainliest!!

Answers

Answer:

x = -8

y = 0

Step-by-step explanation:

The two shown equations can be added together:

   x + 4y = -8

+ ( x - 4y = -8 )

The two x's would combine to make two x, the 4y and -4y cancel out to zero, and -8 added to -8 is -16:

2x = -16

Therefore, x = -8. We can plug this into the first equation to get:

-8 + 4y = -8

Subtracting 8 on both sides yields:

4y = 0

Now divide by 4 on both sides to get

y = 0

We can check these values by plugging them into the second equation:

(-8) - 4(0) = -8

-8 - 0 = -8

-8 = -8

Since -8 always equals -8, the answer is correct.

A table of values shown below represents a linear function which of these points could also be an ordered pair in the table and why?

Answers

Answer:

(18,27) , because the rate of change of the function is 4/3

Step-by-step explanation:

What is the length of the missing leg? If necessary, round to the nearest tenth.

Answers

Answer:

is that the ixl

website ????????????????????????????????

Someone please help fast!
Simplify: in the picture

Answers

Answer:

-3ab

Step-by-step explanation:

-27/9= 3

(a^2)/a=a

(b^2)/b=b

find the value of x in (2^2x)^3 = 64

Answers

Answer: x=12

Step-by-step explanation:

Answer:

  x=1

Step-by-step explanation:

The equation can be simplified and solved using the rules of exponents and the usual inverse operations.

__

Interpreted according to the Order of Operations, your equation is ...

  ((2^2)x)^3 = 64

  (4x)^3 = 64x^3 = 64 . . . . . . use (ab)^c = (a^c)(b^c)

  x^3 = 1 . . . . . . . . . . . . . . divide by 64

  x = ∛1 = 1

__

Perhaps you want x in the exponent:

  (2^(2x))^3 = 64

  2^(6x) = 2^6 . . . . . . . . . use (a^b)^c = a^(bc)

  6x = 6 . . . . . . . . match exponents

  x = 1 . . . . . . divide by 6

_____

Additional comment

Folks are often not careful about identifying exponents. It is helpful if you write the exponent in a way that leaves no ambiguity.

What is f(x) + f(x) + f(x)?
✔ 3f(x)
3f(x) =
✔ 3x²
Evaluate 3f(2) =
.

Answers

Answer:

  12

Step-by-step explanation:

The problem statement tells us the definition of 3f(x). In order to find the value of 3f(2), we substitute 2 for x and do the arithmetic.

__

definition

  3f(x) = 3x² . . . . given

application

  3f(2) = 3·2² = 3·4 = 12 . . . . . substitute 2 for x

The value of 3f(2) is 12.

Given that ABCD is a rhombus, what is the value of x? ​

Answers

Answer:

  E.  18.6

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles. The means all of the triangles shown are right triangles, and the two marked angles are complementary.

__

solve for x

Complementary angles total 90°.

  (x°) +(4x -3)° = 90° . . . . . the marked angles are complementary

  5x = 93 . . . . . . . . . . . .  divide by °, add 3

  x = 93/5 = 18.6 . . . . . divide by the coefficient of x

The value of x is 18.6.

♡♡♡ ▲ ▲ ▲ ▲ Ratio of hearts to triangles in simplest form.

Answers

3 hearts

4 triangle

H:T

3:4

So, ratio of hearts to triangles in simplest form is 3:4

(we can't simplify any further - HCF of 3 & 4 is 1)

Hope this helps!

Given f(x) = x^4. if the function is transformed so that the inflection point is
(-2, 1). write the new function.

Answers

F(x)= 4+x is the answer to this quest

You and your family are going on a
family cruise this summer! WOO HOO!
Your parents had to put down a $250
deposit. Then, the cruise costs $500
per person on top of that. There are 5
people in your family. How much will
the entire cruise cost? Okay

Answers

The total cost, including the deposit, would be $2,750. $500*5=$2,500 $2,500+$250=$2,750

can anyone answer this pls!!!!!!!!!!

Answers

u₁₂ represents the amount of loan remaining after 12 years

How to interpret u₁₂?

The function is given as:

u₀ = 8000

[tex]u_n = u_{n-1}(1 + 0.054) - 500[/tex]

Given that the subscript n in [tex]u_n[/tex] represents number of years and [tex]u_n[/tex] represents the amount left to be paid after n years.

We can conclude that:

u₁₂ represents the amount of loan remaining after 12 years

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What is the answer (6√2)(-3√5)

Answers

Solution:

[tex] - 18 \sqrt{10} [/tex]

Step-by-step explanation:

1. Apply rule : a(-b) = -ab

[tex] = - 6 \sqrt{2} \: \: • \: \: 3 \sqrt{5} [/tex]

2. Apply radical rule : [tex] \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex] , [tex]a \geqslant 0[/tex], [tex]b[/tex]

[tex] = 6 \sqrt{2 \: • \: 5} \: • \: 3[/tex]

3.Multiply the numbers : 2 • 5 = 10

=[tex]6 \sqrt{10} •3[/tex]

4.Multiply the numbers : - 6 • 3= - 18

[tex] = - 18 \sqrt{10} [/tex]

400 people were asked if they liked their school lunch.10% said yes. 32 of those that said yes were boys.152 of those that were surveyed were girls. Complete the table to display this data. How many boys said no to liking their school lunch?

Answers

Using proportions, considering the total number of students, it is found that 216 boys to linking their school lunch.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 400 - 152 = 248 boys were surveyed. 32 said they liked the school lunch and 248 - 32 = 216 said no liking their school lunch.

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our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages? our cell phone costs $50 a month plus $0.25 for each text message, t. How much would your monthly bill be if you sent 40 text messages?

Answers

Answer:

$60

Step-by-step explanation:

cost = $50 + $0.25x

Since x = 40

$(50 + 10) = $60

Answer:

$60/month

Step-by-step explanation:

So the equation would be 50 + (0.25 * 40), solve parenthesis 50 + 10, so answer would be $60.

You used $3000 of your budget for training your employees. each hour of training costs $40 per employee plus a one-time $200 fee. a. how many hours of training can your purchase? b. how many hours of training will each of your employees receive? remember how many employees do you have?

Answers

A. The number of hours of training that you can purchase with a $3,000 training budget at $40 per employee per hour and a one-time $200 fee is 70-employee-training-hours.

B. Each employee will get 7 hours of training, assuming your organization has 10 employees.

What is the cost of training employees?

The training cost of employees varies from one organization to another.

The training cost also depends on the training provider and the number of hours of training being offered.

Data and Calculations:

Training budget = $3,000

One-time fee = $200

Remainder after the one-time fee = $2,800 ($3,000 - $200)

Training costs per employer per hour = $40

Hours of training to purchase = 70 ($2,800/$40)

Thus, an organization with 10 employees can obtain 70 hours of training with the training budget.

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LL
F
C
9
5
D
2x+3
E
What is the value of x and the length of segment DE?
1 5
9
9
2x + 3
2. 10x+15=9(9)
Length of DE=
units

Answers

Answer:

[tex]x=\boxed{6.6}[/tex]

[tex]\overline{\sf DE}=\boxed{13.2}\:\:\sf units[/tex]

Step-by-step explanation:

Geometric Mean Theorem - Altitude Rule

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments.  The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

[tex]\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}[/tex]

From inspection of the given diagram:

altitude = FD = 9segment 1 = CD = 5segment 2 = DE = [tex]2x+3[/tex]

[tex]\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}[/tex]

Substitute the found value of x into the expression for DE:

[tex]\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}[/tex]

Which associations best describe the scatter plot?

Select each correct answer.


Positive association

Negative association

Linear association

Nonlinear association

Answers

Negative associations best describe the scatter plot

If f(x) = x² - 2x, find:
f(5) = [?]

Answers

Answer:

[tex]15[/tex]

Step-by-step explanation:

if [tex]f(x) = x^2 -2x[/tex], then that means that [tex]f(5) = (5)^2 - 2(5)[/tex] which equals [tex]15[/tex].

Step-by-step explanation:

A function f is defined by f (x) = 2x - 5. Write down the values of In mathematics, a function means a correspondence from one value x of the first set to another value y of the second set. NCERT Solutions Class 11 Math's Chapter 2 Exercise 2.3 Question 3 A function f is defined by f (x) = 2x - 5.

n triangle ABC (see sketch), AD is the angle bisector of the angle A and BH is the height from side AC. The obtuse angle between BH and AD is four times the side of DAB. How big is the angle CAB?
A. 30 B.45 C.60 D.75 E.90

Answers

Answer: C

Step-by-step explanation:

We know that [tex]\angle AHB=90^{\circ}[/tex], and thus by the exterior angle theorem,

[tex]90^{\circ}+\alpha=4\alpha\\\\90=3\alpha\\\\\alpha=30^{\circ}[/tex]

Thus, [tex]\angle CAB=2\theta=\boxed{60^{\circ}}[/tex]

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Find the HCF of ax3y and bx4y3 What were some ways political machines hurt cities?A. People without ability or experience became officials.B. Immigrants received help and could stay in America.C. Corrupt leaders were kept out of power.D. People worked to stop government corruption Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n 1? 3, 6, 12, 24, 48, f (n 1) = 3 f(n ) f (n 1) = 3 f(n ) f (n 1) = 2 f(n ) f (n 1) = 2 f(n) Write the equation of a line that goes through point (0, 8) and has a slope of 0. How does the author use character change, the resolution, or literary devices to reveal the theme in "All Summer in a Day"? Explain the structure of an atom. Which is a best practice that can prevent viruses and other malicious code from being downloaded. Write a 14 line sonnet poem about the future. No mark scheme required Which three components make a conclusion effective?restated main idea, thesis statement, gripping recommendationthesis statement, key points, gripping statementrestated thesis statement, summarized key points, memorable statement Any piece of work can be appropriated ifO there is a copyrightO it is in public domainO it is an important piece of the artthe owner of the work disapproves An analyst evaluating securities has obtained the following information. The real rate of interest is 2.8% and is expected to remain constant for the next 5 years. Inflation is expected to be 2.6% next year, 3.6% the following year, 4.6% the third year, and 5.6% every year thereafter. The maturity risk premium is estimated to be 0.1 (t 1)%, where t = number of years to maturity. The liquidity premium on relevant 5-year securities is 0.5% and the default risk premium on relevant 5-year securities is 1%. a. What is the yield on a 1-year T-bill? Round your answer to one decimal place. b. What is the yield on a 5-year T-bond? Round your answer to one decimal place. c. What is the yield on a 5-year corporate bond? Round your answer to one decimal place. please hlep meeeeeeeeeeeeeeeee Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x 10) and (7x + 10), respectively. What is mA?Group of answer choices9085355 There are no solutions to the system of inequalities shown beloy 3x + 1A. TrueB. False Which of the following regions of the United States saw the most rapidpopulation increase during the 1950s?OA. New EnglandOB. Deep SouthC. SouthwestD. Midwest Ms. Paul is standing at the top of a cliff that is 100 m tall. She kicks a rock and it gets a horizontal velocity of 15.0 m/s. Determine the range of theprojectile. Use the following scenario to answer the question below:You are deciding between two cars with different engines and want the bigger of the two. One engine displaces 350 cubic inches. The other displaces 5,500 cubic centimeters. How many significant figures do the values in this problem involve?A. 4B. 1C. 3D. 2 The area of the garden was 2 2/5yd2. if the lrngth is 1 1/2 yd, find the width If there are 300 houseflies in the study, how many of them will live longer than 21 days? Find the height of the trapezoid.