find the area of the triangle whose vertices are x(3,2) y(-1,0)and z(1,-12)

Answers

Answer 1

Answer:

The triangle whose vertices are x(3,2) y(-1,0)and z(1,-12).

=> xy = sqrt(4^2 + 2^2) = 4.472

=> xz = sqrt(2^2 + 14^2) = 14.142

=> yz = sqrt(2^2 + 12^2) = 12.166

=> Perimeter/2 = P = (xy + yz + xz)/2 = (4.472 + 14.142 + 12.166)/2 = 15.39

=> Applying Heron's formula, the area of triangle would be:

A = sqrt(P*(P-xy)*(P-xz)*(P-yz))

   = sqrt(15.39*(15.39 - 4.472)*(15.39 - 14.142 )*(15.39 - 12.166))

   = 26.001

   = ~26

Hope this helps!

:)


Related Questions

Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n”, the number of nights can she afford to rent the beach house?

Answers

95n+75 is less than or equal to 645. 645-75=570. 95n is less than or equal to 570. 570/95=6. A maximum of six nights

Answer:

She can spend 6 nights in the beach house

Jessie is considering a purchase of a $135,000 home at 5.5%. Under this rate,
her mortgage payment would be $766.51. If she purchases a point, her new
mortgage payment is $755.96. How many months would it take her to break-
even on the points purchase?
A. 244 months
B. 186 months
C. 128 months
D. 134 months

Answers

Answer: 128 months

Step-by-step explanation:

Final answer:

Jessie will break even on the point purchase for her mortgage in approximately 128 months, as a point costs 1% of the $135,000 home, and the monthly mortgage payment falls by $10.55 after purchasing the point.

Explanation:

The student is asking how many months it will take Jessie to break even on the purchase of a point for her mortgage. A point typically costs 1% of the loan amount, and in return, the lender reduces the interest rate on the mortgage. In this case, the monthly payment is reduced from $766.51 to $755.96, a monthly savings of $10.55 ($766.51 - $755.96).

To calculate the break-even point in months, divide the cost of the point by the monthly savings. If a point costs 1% of the $135,000 home, then the cost is $1,350 ($135,000 * 0.01). The number of months to break even is therefore $1,350 / $10.55, which equals approximately 128 months.

Therefore, the correct answer would be:

C. 128 months

The value of a car depreciates every two years. The value of the car after t years is shown by the following expression. Which best describes the coefficient, 25,250? A. the number of times the value of the car depreciated from the original value B. the decrease in the value of the car every two years C. the rate at which the value of the car is decreasing D. the initial value of the car

Answers

Answer:

A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A family of 20 purchased tickets to the county fair. Tickets for adults cost $8 while tickets for children cost $4. If the total cost of tickets were $100, how many family members were adults and children? Explain how you solved the problem

Answers

Answer:

There are 5 adults and 15 children in the family.

Step-by-step explanation:

Given

Number of people in the family = 20

Cost of adults tickets = $8

Cost of children tickets = $4

Total ticket sold = $100

Required

How many adults and children are in the family.

Let C represent children and A represent adults.

If there are 20 members of the family, then.

A + C = 20

Also, if adult tickets is sold for $8 and children tickets is sold for $4 and the total cost of tickets were $100, then we have

8A + 4C = 100.

Now, we have two equations to be solved simultaneously.

A + C = 20 --- (1)

8A + 4C = 100 ---- (2)

Make C the subject of formula in (1)

C = 20 - A.

Substituton 20 - A for C in (2)

8A + 4(20 - A) = 100

8A + 80 - 4A = 100

Collect like terms

8A - 4A = 100 - 80

4A = 20

Multiply both sides by ¼

¼ * 4A = ¼ * 20

A = 5

Recall that C = 20 - A

So,

C ,= 20 - 5

C = 15.

Hence, there are 5 adults and 15 children in the family.

The Question was solved by getting an expression to represent the amount of tickets that were sold and another expression for the total number of people in the family.

The two expressions gave us a simultaneous equation and the equations were solved simultaneously.

A Country’s population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponential growth formula. Round your answer to the nearest million. P=Ae^kt

Answers

Answer:

167 million

Step-by-step explanation:

The ratio is 1 million people every 2 years

What's the answer will award brainiest

Answers

Answer:

d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Simplify (write without the absolute value sign):
x+3, if x>2

Answers

Answer:

X+3 , if x>2

>2 is 3,4,5,6,,,extra

4+3 = 7

So , x>2

7>2

Step-by-step explanation:

Answer:

i dont know what it is

Step-by-step explanation:

LOL

Can you answer these questions? Im doing them on my own but I need to check if they're right

Answers

Answer:

I got you.

Step-by-step explanation:

1. If x=5, whats (10x-5)+30:

First, (10x-5)

50-5=45

45+30=75

10x-5+30=75.

2.Inverse operations: 10+5 inverses 10-5, 10*5 inverses 10/5

3. I do: For example: 10x-5=60

Then, you would divide: 60/10 and 10/10

We need to isolate the variable: x-5=6

Leaving x to be 11.

4. That is a hard one but, for an equation to have no solution is that it is impossible to answer or just doesn't have an answer. And for an equation to have infinite solutions it means that it has more than one answer... Infinitely.

5. Using the distributive property for simplify: The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of the products – in this case, 6(5) – 6(2).Remember that there are several ways to write multiplication. 3 x 6 = 3(6) = 3 •                          3 • (2 + 4) = 3 • 6 = 18.

Classes start at 8:30 a.m. at Lee's school. It takes him 15 minutes to ride his bike to school, but he likes to arrive 20 minutes early. What time should he leave home?

Answers

Answer:

maybe 7:55

Step-by-step explanation:

if he leaves at 7:55 then he gets to school at 8:10 which he is 20 minutes early for school

Answer:

7:55 a.m.

Step-by-step explanation:

What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that

apply

The cone has the greater volume,

The cone and cylinder have the same base area

The cylinder can fit inside the cone

The cone and cylinder have the same diameter

Answers

Answer: the answer is B, C, E

Step-by-step explanation:

i just took the assignment

Answer:

B C E

Step-by-step explanation:

A.The cone has the greater volume.

B.The cone and cylinder have the same base area.

C.The volume of the cone is One-third the volume of the cylinder.

E.The cone and cylinder have the same diameter.

Explain one way a geometric function is similar to an exponential function

Answers

A. A geometric sequence is given a starting number and a common ratio. Each number of the sequence is given by multiplying the previous one for the common ratio.

What is m ABC?
m ABC = 15°
m ABC = 45°
m ABC = 60°
m ABC = 75°

Answers

Answer:

75

Step-by-step explanation:

MATH HELP !50 POINTS! PLEASE

Answers

Answer:

c 17 sorry if i got it wrong but thats what i got

Answer:

b) 19

Step-by-step explanation:

I took the price of the meat per pound and multiplied it by the amount the customer was purchasing.

I repeated that for each meat. I added my products together. My sum was $18.965, or about $19

I hope this makes sense :)

What is the value of the expression 2 + 32 ⋅ (3 − 1)? 20 22 23 32 HELP

Answers

Answer:

66

Step-by-step explanation:

Parentheses first 3-1 = 2

2*32=64

64+2=66

You rearrange your bedroom. Tell whether each move is an example of
a translation.
a. You slide your bed 1 foot along the wall.
b. You move your desk and chair to the opposite wall.
c. You move your bed stand to the other side of the bed.

Answers

Answer:

translation,reflection,

Step-by-step explanation:

because you move thing in different direction

Sliding the bed and moving the desk and chair are examples of translation, while moving the bed stand is an example of reflection.

a. Sliding the bed 1 foot along the wall is an example of a translation. The bed is moved from one position to another without changing its orientation.

b. Moving the desk and chair to the opposite wall is also an example of a translation. The desk and chair are moved from one side of the room to the other without any rotation or change in shape.

c. Moving the bed stand to the other side of the bed is not a translation, but a reflection. The bed stand is flipped across a line of symmetry, changing its orientation.

Learn more about Translations and Reflections here:

https://brainly.com/question/31408494

#SPJ2

2
Given that sin 8 =
and gº C.
1
IN NI
d
0

Answers

Answer:

It seems like there might be a bit of a mix-up or incomplete information in your question. "sin 8 =" appears to be incomplete, and "gº C." is not clear in the context provided. If you have a specific question or need assistance with a math or physics concept, please provide more details, and I'll be happy to help.

Step-by-step explanation:

Final answer:

The given sine value of 2/1 is not possible as the sine of an angle cannot exceed 1 or be less than -1. It seems there's an error in your question and incomplete information prevents a comprehensive answer.

Explanation:

Given that the sin 8 = 2/1, it's important to note that in a range of -1 and 1, the sine of an angle cannot be greater than 1 or less than -1. Therefore, there's an error in your original question. Also, the second part of your question seems to be cut off (gº C. 1 IN NI). There seems to be no apparent relation to the sine function, and without a clear follow-up question or further information, I couldn't provide an accurate answer for it. Please revise your question and provide additional information if necessary.

Learn more about Sine Function here:

https://brainly.com/question/12015707

#SPJ1

need help asap please ​

Answers

the answer is b

reason:
because i did that

What is the y-intercept of the parabola, y=25/4x^2+10x?

Answers

Answer:

0

Step-by-step explanation:

To get the y-intercept ,all you have to do is to substitute x by 0 in the equation y=25/4x²+10x and find the value of y .

y = 25/4(0)²+10(0)

  = 0 + 0

 = 0

Algebraic fractions cannot be reduced.
True
False

Answers

Final answer:

Algebraic fractions can be reduced by finding the greatest common factor (GCF) and simplifying the fraction to its lowest terms.

Explanation:

False. Algebraic fractions can be reduced. To reduce an algebraic fraction, you need to find the greatest common factor (GCF) of the numerator and denominator, and then divide both the numerator and denominator by the GCF. This simplifies the fraction to its lowest terms. For example, if you have the fraction (2x + 4)/(6x + 12), the GCF of the numerator and denominator is 2, so you can simplify the fraction to (x + 2)/(3x + 6).

Factor the following polynomial completely.
-x2 y2 + x4 + 4y 2 - 4x2

Answers

Step by step he sir

Find the volume of the cone

Answers

Answer:

37.68

Step-by-step explanation:

The formula to be used is 1\3πr^2h

so going by the question π=3.14,r=2,h= 9

when u substitute each value into the formula u get you answer to be 37.68

Answer:

37.87 yea that's the answer my huysterrrebj

A spinner is spun four times. What is the probability that the spinner lands on 2 each time?

a. 1/64
b. 1/256
c. 1/8
d. 1/16

Answers

Answer:

personally,

Step-by-step explanation:

I would say d :)

plz anybody answer this plz will give you brainliest!!!

Answers

The answer is 5 cm squared

Answer

i got 440cm^2 as the answer

This is urgent, please answer!!

Answers

Answer: 23.4

Explanation: make the volumes equal each other with the ? as x. Then solve.
(12)(18)(32.5)=(25)(12)x
Divide both sides by 12
(18)(32.5)=25x
Solve left side
585=25x
Divide by 25
x=23.4

Write an equation of the line in slope-intercept form.

Answers

Answer:

C. y = 5x

find the slope

(5-0)/(1-0)

5/1 = 5

then look at the y line

the point 0 is on line y

which has no value so c is the answer

Step-by-step explanation:

A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 82​? 85​, 90​, 79​, 72

Answers

Answer:

84

Step-by-step explanation:

Because average is basically the mean, so i used a mean calculator and put in the four grades (numbers) and got an average of 81.5, so then i kept putting an additional other number in and wasn't getting 82, until i put in 84 and all of those numbers together gave me an average of 82.

Answer:

84

Step-by-step explanation:

The average is found by adding all the scores together and dividing by the number of scores

Let the unknown score be x

(85+90+79+72+x) /5 = 82

Multiply each side by 5

(85+90+79+72+x) /5*5 = 82*5

(85+90+79+72+x)  = 410

Combine like terms

326+x = 410

Subtract 326 from each side

326+x-326 = 410 -326

x =84

Find an explicit formula for the geometric sequence 120, 60, 30, 15, ...

Answers

Final answer:

The explicit formula for the geometric sequence 120, 60, 30, 15, ... is an n = 120  times [tex](0.5)^{n-1}[/tex], where an is the nth term of the sequence.

Explanation:

The sequence given, 120, 60, 30, 15,..., is an example of a geometric sequence where each term is obtained by multiplying the previous one by a constant called the common ratio. For this sequence, the first term a is 120, and the common ratio r is 0.5 since each term is half the preceding one.

An explicit formula for a geometric sequence can be expressed as:

an = a times [tex]r^{n-1}[/tex]

Where a is the first term, r is the common ratio, and n is the term number. Applying this to the given sequence, the explicit formula is:

an = 120  times [tex](0.5)^{n-1}[/tex]

This formula represents the nth term of the sequence, showing how each term can be calculated directly from its position in the sequence.

What number is 110% of 150?

Answers

Answer:

165

Step-by-step explanation:

convert 110% to decimal, which is 1.1 by moving two places to the left. of means multiply so multiply 1.1 and 150 to get your answer!

Answer: 165.

Step-by-step explanation:  

Which relation is a function?

Answers

Answer:

The second one

Step-by-step explanation:

Answer: Choice B

Choice B shows each input going to exactly one output. Therefore it is a function.

Choices A, C, and D have one input leading to more than one output. For example, the input -5 in choice C goes to more than one output (-2 and 3). This is why choices A, C, and D are not functions.

Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of the bottle. A coach filled up his bottle for him during the second quarter. At the end of second quarter, he drank some more water and left only 2/5 of water in the bottle. How much water did he drink during the first half of the game?

Answers

Final answer:

Kyle drank a total of 39/35 liter of water during the first half of the game.

Explanation:

To find the amount of water Kyle drank during the first half of the game, we need to calculate the difference between the initial amount of water and the amount left at the end of the second quarter.

Let's assume Kyle's bottle initially held 1 liter of water.

At the end of the first quarter, he drank 5/7 of the bottle or (5/7) * 1 = 5/7 liter of water.

After the coach filled up his bottle during the second quarter, the bottle was full again.

At the end of the second quarter, he drank some more water and left only 2/5 of water in the bottle, which is (2/5) * 1 = 2/5 liter of water.

Therefore, Kyle drank a total of 5/7 + 2/5 = 25/35 + 14/35 = 39/35 liter of water during the first half of the game.

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