Points X(6, 8), Y(3, 3), and Z(13, –3) form a triangle. What is the area of △XYZ?

Answers

Answer 1

Answer:

34

Step-by-step explanation:

area = bh/2

Answer 2

The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

Coordinates of vertices are:

X≡(6,8)

Y≡(3,3)

Z≡(13,-3)

What is the area of a triangle with vertices [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)[/tex]?

The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)

=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]

=34 square units.

Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

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Related Questions

People attending a football game were asked what their favorite sport was biased or unbiased ??

Answers

Answer The answer is biased.

Rodrigo entrena para una maraton todos los dias sale a correr a una pista de 6 kilimetros de longitud,el lunes da dos vueltas,el martes da una vuelta y un medio,el miercoles da una vuelta y un tercio,el jueves da dos vueltas y dos quintos,el viernes da una vuelta y dos tercios,y el sabado dio dos vueltas y tres cuartos cuantos kilometros recorrio por dia

Answers

Answer:

11.65 km / day

Step-by-step explanation:

We can calculate the amount of daily kilometer in the following way

First day: 2 * 6 = 12 km

Second day: 1.5 * 6 = 9 km

Third day: 1.333 * 6 = 8 km

Fourth day: 2.4 * 6 = 14.4 km

Sixth day: 1.666 * 6 = 10 km

on Saturday: 2.75 * 6 = 16.5 km

the average per day

(12 + 9 + 8 + 14.4 + 10 +16.5) / 6 = 11.65

11.65 km/day

Which of these two expressions represent the phrase "five plus two times a number"? A. 5n+2n and 2n+5n B. 5+2n and 2+5n C. 2n+5 and 2n-5 D. 5+2n and 2n+5

Answers

Answer:

It would be D because you are timing 2 by a number which would have n together

Hope this helped

The expression is 5 + 2n.

What is linear equation?

Declaration that the sum of a set of terms, each of which is the product of a constant and the first power of a variable, is equal to a constant in a first-degree polynomial (also known as a linear equation).

A system of simultaneous equations is an ensemble of equations that share a common solution.

Given a sentence "five plus two times a number"

let a number be n

two times of number = 2 x n = 2n

and add 5 we get,

5 + 2n

Hence the expressions represent the phrase is 5 + 2n.

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Two rectangles with the same side length are always congruent

Answers

Answer:

no

Step-by-step explanation:

the length and the width in one rectangle are the same as the length and width in a second rectangle, then yes those rectangles must be congruent. If you just mean the lengths of 2 rectangles are equal, but their widths are different, then no those rectangles are not congruent.

An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
cookie increases by 25%. Which expression best represents the new length of the
cookie?

A. 0.25y
B. 0.75y
C. 1.25y
D. 12.5y

Answers

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

The expression best describes the new length of the cookie will be 1.25y.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

An uncooked gingerbread cookie is y centimetres long. After it is baked, the length of the cookie increases by 25%.

The initial length of the cookie is y after baking the length is increased by 25%

=   y  +  25%y

=   y   +  ( 25 / 100 ) y

=   y  +  0.25 y

=  1.25 y

Therefore the expression best describes the new length of the cookie will be 1.25y.

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A circle is centered at N(-6,-2)N(−6,−2)N, left parenthesis, minus, 6, comma, minus, 2, right parenthesis. The point E(-1,1)E(−1,1)E, left parenthesis, minus, 1, comma, 1, right parenthesis is on the circle.
Where does the point H(-10,-7)H(−10,−7)H, left parenthesis, minus, 10, comma, minus, 7, right parenthesis lie?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Inside the circle

(Choice B)
B
On the circle

(Choice C)
C
Outside the circle

Answers

Answer:

outside the circle

Step-by-step explanation:

tbh idrk i guessed but i got it right

Which expression is the same as 8 ones and 72 thousandths?

Answers

Answer:

8.072

~Savannah:))

Answer:

(8×1)+(7×1/100)+(2×1/1000)

Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile

Answers

Answer:

6 ways

Step-by-step explanation:

The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.

Now, we can only have movement through the game one at a time

The number of ways they can move through the gate one at a time is 6C1 ways

and that is mathematically;

if we are to select a number of r items from a total of n, the number of combinations or ways is;

nCr = n!/(n-r)!r!

Applying these to the problem at hand, we have

6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways

Consider the following ratios and state that whether these ratios forms a proportion?
​Case1 - 20 friends to 15 strangers
Case 2 - ​ 4 friends to 3 strangers​
A. Yes
B. No

Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
​ Answer:_____________

​Note: Type the answer as shown. Ex: (3:8)

Answers

Answer:

yes

Step-by-step explanation:

Be cause i whant points 20=15 7213=938401

Part A. Yes, these ratios forms a proportion

Part B-  the ratio of the number of friends in Case 1 to the number of friends in Case 2 is 5:1

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The ratios in cases 1 and 2 form a proportion. IT can be seen by dividing case a by 5 which gives 4:3;

i.e 20:15

If we divide both numerator and denominator by 5, then we have 4/3.

This shows case 1 and 2 have the same proportions of friends to strangers.

Part B; The number of friends in case 1 is 20 while in case 2 is 4.

we have, 20:4

= 20  4

Dividing each by 4, we have 5:1.

Which means that the ratio of friends that in case 1 to case 2 is 5:1.

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Financial Literacy: Question 2Gordon opened a savings account with an initial deposit of $1,200.His balance will earn 2.5% simple interest overy year, Balley openeda savings account with an initial deposit of $900. Her balance willearn 3.25% interest compounded annually. The deposits were madeon the same day, and no additional money will be deposited orwithdrawn from the accounts. Which statement about the balances ofGordon's account and Balley's account at the end of 6 years is true?​

Answers

Answer:

In 6 years form now, the balance in Gordon's account will be = {$1,200 x [1 + (2.5% x 6 years)]} = $1,380

his account will have earned = 2.5% x 6 years x $1,200 = $180 in interests over the six years

In 6 years form now, the balance in Bailey's account will be = $900 x (1 + 3.25%)⁶ = $1,090.39

his account will have earned = $190.39 in interests over the six years

Bailey's account earned more interest than Gordon's, even though his initial balance was much lower. This was due to higher interest rates and more important, because Bailey earned compound interest.

What is made up of two expressions that are equal in value to each other

Answers

Answer:

linear equation

Step-by-step explanation:

i don't know the explanation step by step

What is distance between point X and point Y?

StartRoot 11 EndRoot

StartRoot 22 EndRoot

StartRoot 61 EndRoot

StartRoot 72 EndRoot

Answers

Answer:

The answer is 61:)

Step-by-step explanation:

The concept distance formula is used here to determine the distance between two points. The distance between two points is the length of the line joining the two points. The distance between point X and point Y is  4√2 units.

What is distance formula?

In analytical geometry, the distance formula is used to find the distance measure between two lines. The distance between two points of the xy-plane can be found using the distance formula.

The distance between two points is given as:

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-1 + 5)² + (3 - 7)²

d = √(4)² + (-4)² = √16 + 16

d = 4√2 units

Thus the distance between two points X(-5,7) and Y(-1,3) is  4√2 units.

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Your question is incomplete most probably your full question was:

Find the distance between two points X(-5,7) and Y(-1,3):

$500(1+0.045)^2 -$500(1+0.04)^3

Answers

Answer:-16.4195 US$

Step-by-step explanation:

Han's summer job paid him $4,500 last summer.
This summer, he will get a 25% pay
increase from the company.
How much will he make this summer? Explain how
you found your answer.
Katharine Pierrot
11:04 AM
This is your attendance question.
Class comments

Answers

Answer:

5,625

Step-by-step explanation:

Take 4,500 and multiply that by .25 then take that number and add the 4,500 back to it.

A store sells pencils and erasers. Five pencils and 10 erasers cost $1.05. Two pencils and five erasers cost 0.44 $. How much would seven pencils and seven erasers cost?

Answers

Answer:

1.33

Step-by-step explanation:

Find (-2) for f(x) = 2.3% will give brainliest for correct answer ​

Answers

Answer: The answer is B

Step-by-step explanation:

CAN YOU HELP ME WITH THIS WORK PLEASE!!!!

Answers

Answer:

39 is the answer

Step-by-step explanation:

well so in this is it a little tricky so yea let me see got it right

Solve for x.

Your answer must be simplified.


-3

Answers

You have to simplify-3?

Answer:

x > 7

Step-by-step explanation:

-3 < x - 10

Subtract x from both sides.

-x - 3 < -10

Add 3 to both sides.

-x < -7

Divide both sides by -1. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > 7

Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet. Does he need to find the area or the perimeter of the lawn if he wants to mow the entire lawn? What is the total amount of lawn that he will mow?

Answers

Answer:

For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.

[tex]A = 23ft* 25 ft = 575 ft^2[/tex]

So then Mr Doyle need to mow 575 ft^2 in order to finish the job

Step-by-step explanation:

For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.

And the area for a rectangular shape is given by:

[tex] A = lw[/tex]

Where l is the length and w the width. If we replace the info given we got:

[tex]A = 23ft* 25 ft = 575 ft^2[/tex]

So then Mr Doyle need to mow 575 ft^2 in order to finish the job

Answer:

[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]

Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn

Step-by-step explanation:

Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet.

we will have to find the area.

And the area for a rectangular lawn is Length * Breadth

A = L * B

Where l is the length and B is the width.

L = 23 square feet

B = 25 square feet

By inputting the values we get,

[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]

Therefore, Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn

The sum of two and the quotient of a number x and five.

Answers

Here you go: 2 + (x/5)

⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=−2 b(n)=b(n−1)−7 ​ Find the 3 rd 3 rd 3, start superscript, start text, r, d, end text, end superscript term in the sequence.

Answers

Answer:

-16

Step-by-step explanation:

Given the sequence:

b(n)=b(n−1)−7, where b(1)=−2

b(2)=b(2−1)−7

=b(1)−7

=-2-7

b(2)=-9

Therefore, the 3rd term of the sequence

b(3)=b(3−1)−7

=b(2)-7   (Recall b(2)=-9 from above)

=-9-7

b(3)=-16

The 3rd term of the sequence is -16.

Answer:

-16

Step-by-step explanation:

solve the inequality [tex]\frac{t}{4} \\ \textgreater \ 7[/tex]

Answers

Answer:

[tex]t > 28[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

3. If the distance between P(-2, 3a - 4) and Q(-2, 5a - 2) is 12 units, find the possible values of a.​

Answers

Answer:

a=5

Step-by-step explanation:

2a+2=12

2a=10

a=5

An aquarium is designing a new exhibit to showcase clownfish and queen angelfish. The exhibit will hold a rectangular tank with length twice the size of the width, height is equal to 4 feet and total volume will equal to 500 cubic feet. What is a reasonable width of the tank to the nearest tenth of a foot?

Answers

Answer:

The width of the tank is approximately 7.9 feet.

Step-by-step explanation:

The pool is a rectangular prism with the following dimensions:

length = 2*x feet

width = x feet

height = 4 feet

With volume equal to 500 cubic feet, therefore:

volume = length*width*height = 500

(2*x)*(x)*(4) = 500

8*x² = 500

x = sqrt(500 / 8)

x = sqrt(62.5)

x = 7.90569 feet

The width of the tank is 7.9 feet.

[tex]\frac{3}{5} x-\frac{1}{3} x=x-1[/tex]

Answers

Answer:

As an improper fraction: [tex]15/11[/tex]

As a mixed number: [tex]1 \frac{4}{11}[/tex]

As a decimal: 1.36

Step-by-step explanation:

[tex]3/5x - 1/3x = x - 1[/tex]

Find a common denominator between 5 and 3 (15)

[tex](3 * 3) / 15x - (1 * 5) / 15 = x - 1[/tex]

[tex]9/15x - 5/15 = x - 1[/tex]

Subtract the fractions

[tex]4/15x = x - 1[/tex]

Subtract x from both sides of the equation

[tex]-11/15x = -1[/tex]

Multiply both sides of the equation by 15/-11 to simplify

x = 15/11

Hope this helps :)

Answer:

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

                

Step-by-step explanation:

(3)/(5)x-(1)/(3)=x-1

Simplify  (3)/(5)x-(1)/(3)x

(4x)/(15)=x-1

Move all terms containing  x  to the left side of the equation.

-(11x)/(15)=-1

Multiply both sides of the equation by    -(15)/(11)

-(15)/(11)(-(11)/(15))= -(15)/(11) . -1

Simplify both sides of the equation.

(15)/(11)

The result can be shown in multiple forms.

Exact Form:

x  =  15/11

Decimal Form:

x  =  1.36

Mixed Number Form:

x  =   1(4)/(11)

A recipe for lemonade requires 10 parts of water to
​every 6 parts of lemon juice. How many cups of
​water should be added to 30 cups of lemon juice
​to make the lemonade?
​​

Answers

Answer:

50

Step-by-step explanation:

10 to every 6

x to every 30

30/6 = 5

10* 5 = 50

50 for every 30

Hope this helps! :D

Have a wonderful Day!

Answer:

50

Step-by-step explanation:

there are 6 cups alr and it used 10 cups of water

30 divded by 6 equals 5

5 times 10 equals 50

A polygon has two sets of parallel lines and four right angles based on this information which of the following is true about the polygons
a it is a rectangle
b it is a trapezoid
C it is a triangle.
D it is a rhombus

Answers

answer is a . rectangle

A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?

Answers

Answer:

Length 6,  Width 2

Step-by-step explanation:

6x2 = 12 = Area

6+6+2+2= 16 = Perimeter

Answer: A. 2 ft by 6 ft

Step-by-step explanation: I took the test and got it right.

16.8=2.4e
what does the E equal

Answers

16.8 = 2.4 e

=> e = 16.8/2.4

=> e = 168/24

=> e = 7

Hence, E equal to 7

Answer:

e = 7

Step-by-step explanation:

2.4e is the same as [tex]2.4*e[/tex], so you simply undo the equation.

[tex]16.8=2.4*e[/tex]

divide by 2.4 on both sides to isolate the variable.

[tex]16.8/2.4 = (2.4 *e)/2.4[/tex]

[tex]7 = e[/tex]

express in exponential form (i)2\3×2/3×2/3×2/3​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{3}\times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3}=(\frac{2}{3})^4[/tex]

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