show that (-2, 1), (2, -2) and (5,- 2) are the vertics of the right triangle​

Answers

Answer 1

Step-by-step explanation:

A= (-2,1)

B= (2,-2)

C=(5,2)

slope = y1 - y2/ x1- x2

slope of

AB = -2-1/2-(-2)

= -3/4

BC= 2-(-2)/5-2

= 4/3

AC = -2-1/5-2

= -3/3

=-1

if ABC is a right triangle then AB should be perpendicular to BC

AB x BC = -1

LHS

=-3/4 x 4/3

=-1

= RHS

hence triangle ABC is a right triangle


Related Questions

the coordinates of point T are (0,4). The midpoint of ST is (6,-7). Find the coordinate of point S

Answers

Answer:

Step-by-step explanation:

(x + 0)/2 = 6

x + 0 = 12

x = 12

(y + 4)/2 = -7

y + 4 = -14

y = -18

(12, -18)

The coordinate of the point S will be (12,-18).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line.

Given that the coordinates of point T are (0,4). The midpoint of ST is (6,-7). The coordinates of the point S will be calculated as below:-

The x-coordinate is calculated as below:-

(x + 0)/2 = 6

x + 0 = 12

x = 12

The y-coordinate is calculated as below:-

(y + 4)/2 = -7

y + 4 = -14

y = -18

Therefore, the coordinate of the point S will be (12,-18).

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Jorge’s printer can print 36 pages in 18 minutes. How many pages can it print in 1 hour

Answers

Answer:

120 pages can be printed in 1 hour.

Step-by-step explanation:

First divide 36 by 18 to figure out how many pages can be printed in a minute.

Like this: 36 pages ÷ 18 minutes = 2 pages in one minute.

Now, multiply 2 by 60 to figure out how many pages can be printed out in a hour.

Like this: 2 pages in one minute × 60 minutes ( one hour) = 120 pages in one hour can be printed.

Hope this helps!

If f(x) = 5x + 40, what is f(x) when x = -5?
answers
-9
-8
7
15

Answers

F(x) is 15 because negative five times 5 is 25 plus 40 is 15

If cyanide in a stream next to a gold mine increases from 240 ppm to 360 ppm, what percent increase is this?

Answers

Given :

Initial concentration , 240 ppm .

Final concentration , 360 ppm .

To Find :

Percent increase.

Solution :

Percentage increase is given by :

[tex]=\dfrac{Final-Initial}{Initial}\times 100\\\\=\dfrac{360-240}{240}\times 100\\\\=50\%[/tex]

Therefore , percent increase is 50 % .

Hence , this is the required solution .

What is the slope of the line ?

Answers

Answer:

2,3

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Taking the point at (1, -3) and (3, 0) and getting the rise-over-run will give you the answer. 0 - (-3) = 3 for rise, and 3 - 1 = 2 for run.

6) -13x = 26

I need a explanation

Answers

Answer:

x = -2

Step-by-step explanation:

- 13x = 26

divide each side by -13

- 13x = 26  

-13      -13

x = -2

Answer:

-2

Step-by-step explanation:

-13x =26

x=-26 :13

x=-2

Someone plz help hurry will mark.

Answers

(0,2) (-1,-1) are your points your gonna do the y over x method but your answer is y=3x+2/3

C' is the image after C(-4,-2) after a reflection across the y-axis. What are the coordinates of C'?

Answers

Answer:

(4,-2)

Step-by-step explanation:

r y-axis: (x,y) ⇒ (-x,y)

(-4,-2) ⇒ (4,-2)

Answer:

The coordinates of C is = (-4,2)

Step-by-step explanation:

y-axis

(x, y) →→→→→→→→→→→ (-x, y)

(-4,-2) →→→→→→→→→→→ (-4,2)

Will give u a crown

Answers

Answer:

[tex]E=\frac{mv^2}{2}[/tex]

Step-by-step explanation:

[tex]m=\frac{2E}{v^{2} }[/tex]

Multiply [tex]v^2[/tex] to both sides:

[tex]m*v^2=\frac{2E}{v^{2} } *v^2[/tex]

[tex]mv^2=2E[/tex]

Switch sides:

[tex]2E=mv^2[/tex]

Divide both sides by 2:

[tex]E=\frac{mv^2}{2}[/tex]

7r - 1 = 2r + 9 last one for now thank you guys so much for helping me!

Answers

Answer:

[tex]r=2[/tex]

Step-by-step explanation:

[tex]7r - 1 = 2r + 9[/tex]

Add 1 to both sides:

[tex]7r-1+1=2r+9+1[/tex]

[tex]7r=2r+10[/tex]

Subtract 2r from both sides:

[tex]7r-2r=2r+10-2r[/tex]

[tex]5r=10[/tex]

Divide both sides by 5:

[tex]\frac{5r}{5}=\frac{10}{5}[/tex]

[tex]r=2[/tex]

Answer:

2

Step-by-step explanation:

explain the difference between an Expression and an Equation.

Answers

Answer:

An equation has a set value or a mathematical sentence that contains an = sign. An expression is a math sentence that contains numbers, letters, and symbols( not an = tho) and the value of the variable can change.Equations and expressions are often encountered when understanding mathematical concepts. If compared with language, expressions are like phrases while equations are complete sentences. Expressions have no relations whereas equations reveal relationships. You need to solve equations while expressions can only be evaluated.

Step-by-step explanation:

pls give brainliest if i helped:)

The difference between the expression and an equation is explained below:

Difference between the equation and expression:

The equation represents the mathematical value while the expression could include the numbers, letters, etc. The expression should be treated as phrases while the equations are considered to be complete sentences. The expression does not show any kind of relations while the equation should show the relationship.

In this way, it should be differentiated.

learn more about an equation here: https://brainly.com/question/14006221

What is the slope of a line parallel to the line through (5, -1) and (0, -6)

Answers

Answer:

The slope is 1

Step-by-step explanation:

Do the slope formula y2-y1/x2-x1

The slope is 1. To find the answer you need to do the the y over x method so like -6 and -1 and y values and 5 and 0 are your x values. Your gonna minus -6 and -1 = -5 / your gonna minus 0 and 5= -5 and your gonna divide -5 and -5 you get 1 and that’s your slope

n/4+1=5 nnnnnnnnfegorogrohtohteohteoeoioeitleigeoeohohrhoagororohroooh

Answers

Answer:n = 16Step-by-step explanation:Hope this helps, have a great day, stay safe, and positive!!

What is 12% of 800?

Answers

Answer:

96

Step-by-step explanation:

Your answer is 96 for your equation your welcome

If (y – 1)^3 = 8, what is the value of (y + 1)^2?

Answers

Answer:

16

Step-by-step explanation:

Step 1: Write equation

(y - 1)³ = 8

Step 2: Find y

Cube root both sides: y - 1 = 2

Add 1 to both sides: y = 3

Step 3: Find question

(3 + 1)²

(4)²

16

this is a test please help How many noncollinear points make a plane?
0
1
2
3

Answers

Answer:  3 non collinear.

Step-by-step explanation:

if m<2=98, m<3=23 and m<8=70, find each measure

Answers

Answer:

Step-by-step explanation:

From the picture attached,

There are two parallel lines intersected by three transverse lines.

m∠2 = 98°, m∠3 = 23°, m∠8 = 70°

a). Since ∠1 and ∠2 are linear pairs,

   m∠1 + m∠2 = 180°

   m∠1 + 98° = 180°

   m∠1 = 180 - 98

   m∠1 = 82°

b). m∠4 = m∠7 [Corresponding angles]

   m∠7 = 180° - (m∠2 + m∠3) [Property of a triangle]

            = 180 - (98 + 23)

            = 180 - 121

            = 59°

    m∠4 = m∠7 = 59°

c). m∠5 = 180° - (m∠3 + m∠4)

             = 180° - (23° + 59°)

             = 180° - 82°

             = 98°

d). m∠6 = 180° - (m∠7 + m∠8)

             = 180° - (59° + 70°)

             = 180 - 129

             = 51°

e). m∠7 = 59° [Calculated in part b]

f). m∠9 = 180° - (m∠4 + m∠8) [Property of a triangle]

            = 180° - (59 + 70)°

            = 180 - 129

            = 51°

g). m∠10 = 180° - m∠9

               = 180 - 51

               = 129°

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x?​

Answers

x would equal 8. because you would add AB and BC together and set it equal to AC

A music festival offers one-day and three-day passes. A one day pass costs $100 and a three-day pass costs $250. write an expression for the total ticket sales if (n) one day passes and (t) three day passes are sold.

Answers

Answer:

100n+250t

Step-by-step explanation:

cost of the1 one day pass=100

cost of n one day passes=100n

cost of the 1 three day pass=250

cost of t three day passes=250t

Total sale= 100n+250t

The expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Cost of one-day passes, n = $100

Cost of three-day passes, t = $250

So, Total tickets sold = Cost of one-day passes + Cost of three-day passes

Total tickets sold = n + t

⇒ n + t = $100 + $250

⇒ n + t = $350

which is the required expression for total tickets sold.

Thus, the expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.

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Witch is greater 6.41 or 6.38

Answers

Answer:

6.41

Step-by-step explanation:

if u subtract 6.38 from 6.41  you have .03 left over.

Answer:

6.41

Step-by-step explanation:

6.41 is a greater number

HELP ASAP PLEASE!!!!

Answers

Answer:

[tex]x^3-5x^2+10x-14[/tex]

Step-by-step explanation:

[tex]\left(2x^3-5x^2+3x-10\right)-\left(x^3-7x+4\right)[/tex]

Remove brackets:

[tex]2x^3-5x^2+3x-10-x^3+7x-4[/tex]

Group similar terms together:

[tex]2x^3-x^3-5x^2+3x+7x-10-4[/tex]

Add/Subtract the terms:

[tex]x^3-5x^2+10x-14[/tex]

Answer:

Step-by-step explanation:

( 2X³ - 5X² + 3X - 10 ) - ( X³ - 7X + 4 )

2X³ - 5X² + 3X - 10 = X² - 10

X³ - 7X + 4 = - 7X² + 4

X² - 10 - - 7X² + 4 =

X² - 10 + 7X² + 4 =

THE ANSWER IS

8X⁴ - 6


The sum of 17 and a number x is equal to 21.

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]17 + x =21[/tex]

Subtract 17 on both sides

[tex]x = 4[/tex]

Delia went to the market to buy 4.5 pounds of sliced fruit in a container.she paid with a 20 bill and a 5 bill and received 3.67 as change.what was the cost for one pound of sliced fruit before taxes

Answers

Answer:

One pound of the item will cost 4.74 bill

Step-by-step explanation:

In this problem, we are told that Delia bought 4.5 pounds of fruit

and paid with a toa total bill of 20+5= 25 bill

and also she received a  change of 3.67

this means that the item she bought cost 25-3.67= 21.33bill

now if 4.5 pounds of items cost 21.33 bill

then 1 pound will cost Xbill

cross multiply and solve for Xbill

X= 21.33/4.5

X= 4.74 bill

One pound of the item will cost 4.74 bill

Write the expression in radical form. (96x)^2/5

Answers

Answer

Step by step explanation

s was a a bit weird to say hi there so much omg was the best night ever i is my

What is 2/5 (6) - 3 and how do u get the answer?

Answers

Answer:

-0.6

Step-by-step explanation:

Write 4.36 as a mixed number in simplest form.
4.36 =

Answers

Answer: 4 9/25

Step-by-step explanation:

how would i simplify (4v^3 w) (-2w^3)

Answers

Answer:

You would distribute the imaginary 1 to 4w cubed and then do the same to the other side as well so 1 times-2w cubed would still be -2w and then 4w cubed would still be 4v  and the answer is: -8v^3w^4

Step-by-step explanation:

The polygons below are similar. Find the value of x.

Answers

Answer:

16

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

We can use ratios to solve

8                x

-------- = ---------------

6                 12

Using cross products

8 * 12 = 6x

Divide each side by 6

96 = 6x

Divide by 6

96/6 = 6x/6

16 = x

What value of x makes this proportion true?
O A. 20
OB. 5
O C. 6
O 0.9

Answers

b. 25/20 using gcf simplified is 5/4

Answer:

5

Step-by-step explanation:

To find this answer first you multiply 4 by 25, giving you 100, then you divide 100 by 20 to get 5.

To check your work, if you multiply 20 by five you get 100, and if you multiply 25 by four you get 100 as well.

I hope this helps u!

Pls give thx and a brainliest ;)

An electric company calculates a persons monthly bill from the number of kilowatt kWh, x, used

The function (in photo ) determines the bill

How much is the bill for a person who uses 400 kWh in a month

A. 50
B. 60
C. 40
D. 30

Answers

Answer:

Option (A)

Step-by-step explanation:

From the given piecewise function that represent the amount of bill from number of units of electricity used is 'x' kWh.

b(x) = 0.10x   when x ≤ 200

         0.15(x - 200) + 20  when x > 200

For x = 400 kWh,

Function which represents the expenses of the bill,

b(400) = 0.15(400 - 200) + 20 [Since x > 200]

           = 0.15(200) + 20

           = 30 + 20

           = $50

Therefore, Option (A) will be the answer.

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