MGSE8.G.8: Graph and label triangle PQR whose
vertices are located at P(-5, 2), Q(7,-3), R(7, 2).
Determine the length of each side and show work
to justify your answers.

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The measure of sides of ΔPQR are PQ=13 units, QR=5 units and RP=2 units.

Given that, triangle PQR whose vertices are located at P(-5, 2), Q(7,-3), R(7, 2).

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].

Using distance formula,

PQ =√[(7+5)²+(-3-2)²]

= √169

= 13 units

QR =√[(7-7)²+(2+3)²]

= √25

= 5 units

RP =√[(-5+7)²+(2-2)²]

= √4

= 2 units

Therefore, the measure of sides of ΔPQR are PQ=13 units, QR=5 units and RP=2 units.

To learn more about the distance formula visit:

brainly.com/question/27262878.

#SPJ2


Related Questions

How to factorise equations such as 6x+18y, I have to do questions 4-9

Answers

Answer:

4) 6(x+3y)

5) 3b(a+c)

6) 6a(x−2y)

7) 6a(a−2)

8) 7x(x−4)

9) 5x(3x+5y)

Step-by-step explanation:

6x+18y

you find what goes into that number

for example 6 goes into 18, 3 times

so you can keep the 6

next you put the x and plus stays the same

as we said before 6 goes into 18, 3 times so we put the 3 and y next

so this is the equation

6(x+3y)

6 times x = 6x

6 times 3 = 18

y and plus stay the same

brackets shows that your timesing the numbers

i hope this makes sence tried my best not to waffle :)

If you slice a rectangular pyramid parallel to its base, name the shape of the cross section made in the pyramid.

Answers

Answer:

If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.

Answer:

A rectangle

Step-by-step explanation:

A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid.  In this case, a rectangle.

HELP ME!! I WILL MARK BRAINLIEST!!


Ez brainliest

Answers

Answer:

4) A) cuttings

5) B) pollinated

9) C) heredity

Step-by-step explanation:

Answer:

1) A.

2) B.

3) C.

I hope this helps.

Please mark me the Brainliest!

The radius of a circle is 17.8 ft. Find the circumference to the nearest tenth.

Answers

111.8? I think because the formula for circumference is c=2 pie R and with the information you provided the answer would be 111.84 but rounding it I think it would be 111.8 or I could be rounding the wrong place

10) What is the value of x in the figure below?

Answers

Answer:

x=68

Step-by-step explanation:

let y equal the vertical angles

49+55+ y= 180

y=76

vertical angles are equal

35+76+x=180

x=68

Please Help, The Question Is On The Picture. If Right I'll Mark Brainllest

Answers

Answer:

12/13

Step-by-step explanation:

Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2

x^2+25=169

x^2=144

x=12

sin(x)=12/13

plssss help

use multiplication to solve the proportion​

Answers

Answer:

Its 7.333333333333333333  (3 forever)

First you isolate y onto one side of the equation

y/9= 44/54  -->  y = 9 x 44/54

Multiply the right side of the equation

9 x 44/54 = 396/54

Now divide to get the whole answer

396/54 = 7.3333333333 (3 forever)

y = 7.333333

Plz help Quadrilateral PQRS Is shown in the graph

Answers

Pretty sure It would be (4,0)

Amelia used 666 liters of gasoline to drive 484848 kilometers.
How many kilometers did Amelia drive per liter?

Answers

Answer:

728 km / lit

Step-by-step explanation:

kilometers per liter = kilometers / liters

k/l = 484848 / 666

kilometers per liter = 728

Answer: The answer is 8 kilometers

Step-by-step explanation:

khanacademy

A cube has a volume of 15 5/8. What's the surface area?

a 36 3/8

b 64 1/8

c 9 1/3

d 37 1/2

Answers

Answer:37 1/2

Step-by-step explanation:

You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2

What is the gradient of the line that passes through the points (0,0) and (3,3)?

Answers

Answer:

1

Step-by-step explanation:

the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as

rise/run

or

change in  y value/change in x value

or

(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).

We have two coordinates (0,0) and (3,3)

Therefore,

x1 = 0, y1 = 0

x2 = 3, y2 = 3

If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]

first person to get it right gets brainliest

Answers

I feel like it’s 2.5 but I might be wrong if I’m wrong I’m sorry

The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.

Answers

Answer:

400 grams

Step-by-step explanation:

If the equation is density = mass / volume, fill it out to find mass

10 = x / 40

400 = x

x = 400 g

A computer chip company finds the experimental probability of manufacturing a defective computer chip is 1/3 how many defective computer chips are likely to be in a batch of 735 computer chips

Answers

Answer:

There are 245 expected defective chips in the batch

Step-by-step explanation:

From the question, we have that in a batch of computer chips, it is expected that a third is defective

Now, in this present batch, there are 735 chips

The number of defective chips is a third of this

Thus, we have the number of defective chips as;

1/3 * 735 = 245 chips

HELLPPPPPPPP PLS. What is the volume of the rectangular prism?
Type the answer in the boxes below.
NI
cm

Answers

Answer:

3.75 cm³

Step-by-step explanation:

Each cube has equal sides of 1/2 cm

Length of the rectangular prism = 1/2 cm * 5

= 2.5 cm

Width of the rectangular prism = 1/2 cm * 2

= 1 cm

Height of the rectangular prism = 1/2 cm × 3

= 1.5 cm

Volume of the rectangular prism = length × width × height

= 2.5 cm * 1 cm * 1.5 cm

= 3.75 cm³

Volume of the rectangular prism = 3.75 cm³

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

x = 11, -1

Step-by-step explanation:

First, let's identify what the quadratic formula is:

x = [-b ± √(b² - 4(a)(c))] / 2

Our equation is written in standard form:

ax² + bx + c = 0

x² - 10x - 11 = 0

Let's plug in what we know.

x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2

Evaluate the exponent.

x = [-(-10) ± √(100 - 4(1)(-11))] / 2

Simplify the negatives.

x = [10 ± √(100 - 4(1)(-11))] / 2

Multiply.

x = [10 ± √(100 + 44)] / 2

Simplify the parentheses.

x = [10 ± √(144)] / 2

Simplify the radical (√)

x = [10 ± 12] / 2

Evaluate the ±.

x = [10 + 12] / 2

x = [22] / 2

x = 11

or

x = [10 - 12] / 2

x = [-2] / 2

x = -1

Your answers are x = 11, -1

Hope this helps!

pls I need your help in finding this math problem​

Answers

9514 1404 393

Answer:

  (a) 38.3 m horizontal distance

  (b) 82.1 m high

Step-by-step explanation:

I like a graphical solution to this problem (attached).

__

If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.

  tan(65°) = t/h

  tan(40°) = (t -50)/h

__

Multiplying both equations by h and substituting for t, we have ...

  h·tan(40°) = h·tan(65°) -50

  h = 50/(tan(65°) -tan(40°)) . . . . solve for h

  h ≈ 38.3022

Then the tower height is ...

  t = h·tan(65°) ≈ 82.1394

The tower is about 38.3 m distant and 82.1 m high.

Bernard had 15 red notebooks, 17 blue notebooks and 19 white
notebooks. He gave some of them to Tom and had 5 left. How
many notebooks did Bernard give Tom?

Answers

Answer:

He gave 46 to Tom

Step-by-step explanation:

He started is 51 notebooks- 15 + 17 + 19 = 51

He then gave some away until he only had 5 left 51 - 5 = 46

He gave 46 to Tom

if you add all of the books you get 51. it’s says he had five left so subtract 5 from 51 and you get 46. he gave 46 to tom

What is the radius of the sphere?

Answers

Answer:

32/3 cubic

Step-by-step explanation:

D.32/3

32/3=32:2= D.8 units

Mhanifa can you help this is due soon!!

Answers

Answer:

Question 1

Given pentagon

Sum of interior angles:

S = (5 - 2)*180° = 540°

Sum of exterior angles is same for any polygon:

360°Question 2

Given hexagon

Sum of interior angles:

S = (6 - 2)*180° = 720°

Sum of interior angles of a given hexagon:

x + 120° + 156° + 145° + x + 9° + 90° = 720°2x + 520° = 720°2x = 200°x = 100°

Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find how much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.

Answers

Answer:

FV= $2,407.53

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,300

Interest rate (i)= 4.5% = 0.045

Number of periods (n)= 14 years

To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,300*(1.045^14)

FV= $2,407.53

It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *

Answers

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles

What is the value of y? Enter your answer, as an exact value in the box.

Answers

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{6} \\ y = 6 \times \sin(30) = 3[/tex]

HELP please lol ill love u forever if u do this for me bestie
Factor Completely: 8 x^3 −12 x^2 −2x+3

Answers

Answer:

Step-by-step explanation:

8x^3 - 12x^2 - 2x + 3

4x^2(2x - 3) - 1( 2x - 3)

(4x^2 - 1)(2x - 3)

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

Answer:

[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]

Step-by-step explanation:

[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]

hope this helps you

can I have the brainliest please?

A veterinary office pays PupFood $22.50 for each bag of dog food. If the office spent $585, how many bags of food did they purchase?

Answers

26 bags of dog food
22.50 x 26= 585

Solve 14x + 8 = 22

help me!!

Answers

14x + 8 = 22. Okay, so first you want to subtract 8 from itself and 22. Once you did that you should get 14x = 14. Now, you need to divide 14 from both sides. 14/14 = 1. Meaning that x = 1. To check your answer, replace the x values with 1 and solve. 14 X 1 + 8 does equal 22.

its 1

The x=1 because 14 times one plus 8 is 22

The population of a town was 25,000 in the 2000 census and 30,000 in the 2010 census. By what percent did the population increase?

Answers

Answer: This means that the population increased a 20% between the year 2000 and the year 2010.

Step-by-step explanation:

In this case, we have that 25,000 is the 100%.

Now we want to know which percentage represents 30,000

Let's suppose that the percentage is X.

Then we can have a system of equations:

30,000 = X

25,000 = 100%

To find the value of X, we can take the quotient of these two equations:

30,000/25,000 = X/100%

(30,00/25,000)*100% = X = 120%

Then in the 2000 we had a 100%, and in the 2010 there was a 120%.

The difference is:

120% - 100% = 20%

This means that the population increased a 20% between the year 2000 and the year 2010.

define the term net income .. according to the given context​

Answers

ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.

answer these questions please ill give brainliest if your aanswer is right

Answers

Question 2: D
Question 1: C
Question 3: B
Question 4: C

(2p^3 · 2p)^2
HELLO I NEED HELP

Answers

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2  We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

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