Given the triangle below with vertices A(4,3) B(-2,3) and C(-1,-2). Find the area and perimeter

Answers

Answer 1

Answer:

12.5 sq units. Explanation: Area of a triangle with vertices (x1,y1),(x2,y2),(x3,y3) is 12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)]. Using this formula ...

Step-by-step explanation:

you have to study

Answer 2

The value of the area of circle is,

Area = 15 units²

And, The value of perimeter is,

⇒ 6 + √34 + 5√2 Units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle with vertices A(4, 3) B(-2, 3) and C(-1, - 2).

Now, We know that;

Area of triangle with vertices (x₁, y₁) (x₂, y₂) and (x₃, y₃) is,

= 1/2 [ x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃(y₁ - y₂) ]

Hence, We get;

The value of the area of circle is,

Area = 1/2 [ 4 (3 + 2) - 2 (- 2 - 3) - 1 (3 - 3) ]

Area = 1/2 [ 20 + 10 ]

Area = 1/2 x 30

Area = 15 units²

We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, Lenght of AB is,

AB = √ (- 2 - 4)² + (3 - 3)²

AB = √- 6²

AB = 6

BC = √ (- 2 - 1)² + (3 + 2)²

BC = √9 + 25

BC = √34

CA = √ (- 1 - 4)² + (- 2 - 3)²

CA = √25 + 25

CA = √ 50

CA = 5√2

Thus, The perimeter of triangle is,

⇒ AB + BC + CA

⇒ 6 + √34 + 5√2

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Related Questions

I need help please !!!!!!!!

Answers

Factor using the perfect square rule.

( 5 x  −  1 ) ^2

See photo hope it helps

if a mom has 6 kids and i kidnapped 2 how many kids does she have left? ;) just asking

Answers

Answer:

what if i took the 4 other ones??

Answer:

4 kids

Step-by-step explanation:

6 minus 2 equals 4. it one easy qusation

1. Lynn is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Find an equation that represents the plants height after any given number of days. B. How tall is the plant after 9 days?

Answers

Answer:

the anwer is C

Step-by-step explanation:

I hope its help

6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden​

Answers

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

What are the 3 steps to solving an inequality?​

Answers

Answer:

1. Clear parentheses on both sides of the inequality and collect like terms.

2. Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.

3. Multiply and divide by whatever constants are attached to the variable.

Step-by-step explanation:

Hope this helps    :)

step 1 : 1. Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
2. Step 2 Simplify by combining like terms on each side of the inequality.
3. Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

hope this helps

Find the value of x in 2x – 13 = 5 ​

Answers

Answer:

x=9

Step-by-step explanation:

So first, you have to add 13 to both sides to isolate the x so that will make the equation 2x=5+13. Add 5 and 13 to get 18. The equation will now be 2x=18. Divide both sides by 2 because we want x to equal one. This will make it x=18/2. Simplify that and get x=9

Hope this helps

Question

Find the value of x in 2x – 13 = 5 .

                                                                                                                                   

ANSWER

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Hence, this information ( x = 9 )

                                                                                                                                -Hope this helped.

An item is regularly priced at $90. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

Answer: $36 is discounted from the regular price

Step-by-step explanation:

First, we need to take our given numbers

Originally $90

On sale for %40

Let's now use this equation

90(n)

n will equal 0.40 due to it being %40 off

90(0.40)

$36

HI THIS IS MY FIRST QUESTION EVER ASKED AND I AM TOLD THAT BRANILY IS A GOOD PLACE FOR HELP SO COULD I GET SOME HELP PLEASE PS. SORRY ABOUT THE CAPS.

Answers

Answer:

C, D, C, A, B

Step-by-step explanation:

If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b? b = 3 b = 4 b = 5 b = 6

Answers

Answer:

[tex]b = 6[/tex]

Step-by-step explanation:

Given

[tex]0<b\le 90[/tex]

[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]

Required

Find b

To solve this, we make use of the following trigonometry rule:

If [tex]\cos(\alpha) = \sin(\beta)[/tex]

Then: [tex]\alpha + \beta = 90[/tex]

So:

[tex]11b + 2 = 12b - 4[/tex]

Collect like terms

[tex]11b - 12b = - 4 - 2[/tex]

[tex]-b = - 6[/tex]

Multiply both sides by -1

[tex]b = 6[/tex]

3 people invest in a business in the ratio 2:3:5.if the profit from the business is $450 000.how much does each person get?​

Answers

Each person gets 45,000

Answer:

$90,000;$135,000;$225,000

Step-by-step explanation:

In this question we have to find the share of each person

First we have to find the sum of all the ratios,

[tex]2 + 3 + 5 \\ = 10[/tex]

Then we have to represent their share as a fraction and then multiply it by the total value,

The share of first person:-

[tex] \frac{2}{10} \times 450000 \\ = 2 \times 45000 \\ = 90000[/tex]

So the first person share is $90,000

The share of second person:-

[tex] \frac{3}{10} \times 450000 \\ = 3 \times 45000 \\ = 135000[/tex]

So the second person share is $135,000

The share of third person:-

[tex] = 450000 - (135000 + 90000) \\ = 450000 - 225000 \\ = 225000[/tex]

So the third person share is $225,000

(This is your answer hope it helps :))

The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 20 square inches, what are the dimensions of the rectangle?

Answers

Answer:

length is 5

width is 4

Step-by-step explanation:

Please answer quickly

Answers

Answer:

1 1/2

Step-by-step explanation:

3.33 pounds of turkey costs $10.50. What is the price per pound of
turkey? Round to the nearest hundredth. *

Answers

Answer:3.5

Step-by-step explanation: quick maths

Simplify.
(3-2i)(-5)

Answers

Answer:

2i-15

......................

last math question for today!!!!​

Answers

Answer: Maybe search it up?...I cant rlly see what the question says

Step-by-step explanation:

What does the mode represent in a set of numbers?

Answers

Answer:

The mode is the number that shows up the most in the set.

Step-by-step explanation:

1 4 6 3 7 1 1 4 9 1

mode is 1

The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.

Given that,

Define the term 'Mode'.

Since, The mode, in a set of numbers, represents the value that appears most frequently.

It is a measure of central tendency, providing insights into the most common or popular value within the data set.

For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.

In this set, the mode is 5 because it appears more frequently than any other number.

So, The mode, in a set of numbers, represents the value that appears most frequently.

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resuelve la siguiente desigualdad: 2x>-6

Answers

Answer:x>-3

Step-by-step explanation:

Step-by-step explanation:

la respuesta es -12 pero le puedes sacar la mitad osea -6

Citlali was traveling at 60 miles per hour. she has already traveled 120 miles. To get to california which is 360 miles from home, and traveling at the same average speed, how many more hours will it take before he arrives in california?

Answers

Answer:

4 more hours

Step-by-step explanation:

First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.

Hope this helps

What is the sum of the two fractions below in simplest form.
3 3/8 and 2 1/4

Answers

Answer:

5 5/8

Step-by-step explanation:

This is in the simplest form

Select the correct answer.
What is the domain of the function shown on the graph?

Answers

Answer:

B. negative infinity < x < positive infinity

Step-by-step explanation:

When a question asks for the domain of a function, it is asking for all possible x-values, so we can rule out choice A since there are clearly x-values greater than 1. This graph shows arrows pointing left and downward, indicating that the graph continues past what we can see. This tells us that even though the x-values look like they end at -10 and 2, they continue further, so we can also rule out option C and option D. After these eliminations, we are left with choice B, which is a way of writing "All real numbers," and is the domain for all exponential functions, including this one.

lmk if im incorrect about anything, hope this helps :)

Find the 7th term of the geometric progression which begins -6250, 1250, -250....

Answers

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]


solve the following

1) 2(x + 3) = x - 4
2) 4(5x-2) = 2(9x+3)

PLS HELP ​

Answers

Answer:

(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]

Step-by-step explanation:

From the first equation:

[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]

From the second equation,

[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]

Find the area of the trapezoid !! Help pls!

Answers

Answer:

The area would be 80

2) What is the value of x? *
15.5
25.5
31
47

Answers

Step-by-step explanation:

2∠BDA = ∠BCA

2 (3x - 15)° = (2x + 32)°

6x - 30 = 2x + 32

6x - 2x = 32 + 30

4x = 62

x = 62/4

x = 15.5

#CMIIW

What is the measure of DFG
28
62
118
152

Answers

Answer:

angle dfe = 28°(by vertical opposite angle)

divide 240 g in the ratio 5:3:4​

Answers

The answer is 90 if it’s wrong I’m sorry

i really need help with this​

Answers

The correct answer to this question is B.

How many triangles can a heptagon be divided into? 3 5 4 6

Answers

Answer:

5 triangles.

Step-by-step explanation:

Answer:

5 or 4

Step-by-step explanation:

Liam had a stack of 50c coins. He spent €2.75 and had €1.75 left. How much did he have at the start?

Answers

Answer:

Total coins Liam at the start = 9

Total money Liam in the start = €4.5

Total money Liam in the start = 450 cent

Step-by-step explanation:

We know that

1€ = 100 cent

⇒1 cent = 0.01 €

⇒50 cent = 0.5€

Now,

Total money spent = €2.75

Total money left = € 1.75

So, Total money in the initial = Total money spent + Total money left

                                               = €2.75 + €1.75 = €4.5

⇒Total money in the initial = €4.5

Now,

1€ = 100 cent

⇒€4.5 = 450 cent

Now,

As Liam has a stock of 50 cent coins

So, total coins Liam left with = 450/50 = 9 coins

PLEASE HELP ASAP THANKS


A right triangle has a side length of 8, 15 and x, where x is its longest side. What must be the value of x?
Group of answer choices

17

19

18

Answers

Answer:

17

Step-by-step explanation:

We can find the longest side I.e. Hypotenuse using pythogorean theorem.

[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

This is your answer hope it helps :)

Answer:

17?

Step-by-step explanation:

a squared + b squared = c squared (hypothenuse longest side)

square them, then add them and square root them.

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