Triangle IJK, with vertices I(-9,-8), J(-5,-6), and K(-7,-3), is drawn on the coordinate grid below.

Answers

Answer 1

Answer:

[tex]Area= 8[/tex]

Step-by-step explanation:

Given

[tex]I = (-9,-8)[/tex]

[tex]J = (-5,-6)[/tex]

[tex]K = (-7,-3)[/tex]

The complete part of the question is to calculate the area of IJK

The area is calculated using:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3 |[/tex]

Where:

[tex]I = (-9,-8)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]J = (-5,-6)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]K = (-7,-3)[/tex] --- [tex](x_3,y_3)[/tex]

So, we have:

[tex]Area = \frac{1}{2}|(-9*-6) - (-5*-8) + (-5*-3) - (-7*-6) + (-7*-8) - (-9*-3) |[/tex]

Solve the brackets

[tex]Area = \frac{1}{2}|54 - 40 + 15- 42 + 56 - 27 |[/tex]

[tex]Area = \frac{1}{2}|16|[/tex]

The absolute value of 16 is 16

So:

[tex]Area = \frac{1}{2} * 16[/tex]

[tex]Area= 8[/tex]


Related Questions

Can someone help plz

Answers

Answer:

1. Jesús Colón is trying to debate weather or not to help the woman and her two young children. He thought it was a good idea because she was carrying a suitcase and a baby but at the same time he wasn't so sure because he was worried about what the woman would think and if she was racist or prejudice. He even was afraid that the woman would try talk to him in mean ways or to discriminate him just because he was both African and Puerto Rican.

2. Colón had his reputation at stake in this decision due to what the woman would do exactly. Since he didn't help the woman he regretted it and believed he should have helped her even if it would have costed him.

3. I believe he wrote this story to explain that simple actions can lead to a huge change in the future. For example if you see some one who is mean and they need help and you help them then that one mean person can become a really nice person in return just from your actions.

4. I would have helped the woman even though the circumstances because no matter my skin color, reputations, or the way i look i would help anyone because they may not know but deep down i am a good person. And you should not judge a book by its cover.

5. I would not care what others think even though i might fell that its not my place to do something i would do it anyway because nothing can change me. Words may be mean but they can not hurt me.

Step-by-step explanation:

I read everything and answered based on my thoughts and feelings and the text. Have a nice day :)

-- oh and if its wrong i am truly sorry but it shouldn't be wrong XD

Solve the problem below. Math

Answers

Answer:

1.how much did he spend in both stores?

2.how much he has left?

3. 65,85

4. first of all you find how much he spend and then how much he has left.

5. 21,15

√(4²×49)

__________________________________________

Answers

Hopes this helps:

Answer: 28

Please mark as brainlist

Rays PQ and PS are perpendicular to each other.

What is the measure of LRPS plzzzzz

Answers

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

Translations and reflections

Answers

Answer:

The answer is A. x + 5, y - 2

Step-by-step explanation:

The answer is A because you would move the block 5 spaces to the right and 2 spaces down.

Hope this helps!

I really need help right now someone help pls!!!

Answers

the answer would be 120 degrees

A small business wants to meet the minimum medical loss ratio required. If projections show that the business will pay out an average of $8,900 per policy holder in health care claims, what is the minimum average premium they should charge per policy holder?

Answers

Answer:

$7120 or $7565 is the minimum average premium they should charge per policy holder

Step-by-step explanation:

Small business can charge 80-85% of the total value of the policy as premium.

In this case the spending per policy holder is $8900

Hence, per policy holder has to pay a premium of

80-85% of $8900

$7120 or $7565 is the minimum average premium they should charge per policy holder

Sue and Bill share a 16-ounce box of cereal. By the end of the week, Sue has eaten 5 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?

Answers

Answer: 2 ounce

Step-by-step explanation:

Given

16 ounce of the box is shared by Sue and Bill

Sue has eaten [tex]\frac{5}{8}[/tex] of the box

Bill has eaten [tex]\frac{1}{4}[/tex] of the box

total cereal eaten by them is

[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]

So, they have eaten this much of the box. Amount left in the box is

[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]

In ounce it is

[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]

what is the opposite of -(-8)?

Answers

Answer:

the opposite of -8 is 8

Step-by-step explanation:

Step-by-step explanation:

We have to find the additive inverseSo multiply (-)

[tex] \rm \mapsto \: - ( - ( - 8) \\ \rm \mapsto \: - ( + 8) \\ \rm \mapsto \: - 8[/tex]

A kite and its tail total 48 ft in length. the tails is 7 times the length of the body. How long is the kite's tail?

Answers

Answer:

42 ft

Step-by-step explanation:

body = x

tail = 7x

x + 7x = 48

8x = 48

Divide both sides by 8

x = 6

Tail

7x = 7(6)

7x = 42

Answer this for brainilest and 30points (no links or internet answer or you will get flagged

Answers

Answer:

C is 3..............................

Doug worked out for 256 minutes.

Doug has an enemy named Cathy

Cathy worked out a total of 4 hours and 15 minutes.

Who worked out more? What was the difference in minutes?

Answers

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

Using the formula for the area of a triangle, area=1/2*base*height , write an expression for the area of ΔABC. This time, base your answer on the work you did in part E. Show your work. The graph so far is provided.

Answers

Did you ever get the answer?

I did mine but i don’t know if it’s correct (I haven’t submitted it yet)

Area = 1/2 * base * height

Base= b = 20

Height = BD = 9.05

Area = 1/2 * 20 * 9.05

Area = 90.5 units squared

The expression for the area of ΔABC will be A = 1/2 x CA x BD, and the area is 90.5 square units.

What is the area of the triangle?

The area of the triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the triangle.

Then the expression for the area of ΔABC will be

A = 1/2 x CA x BD

A = 1/2 x 20 x 9.05

A = 90.5 square units

More about the area of the triangle link is given below.

https://brainly.com/question/16653962

#SPJ2

plz plz answer this question
NO LINKS :)

Answers

Answer:

did you forget a picture?

Step-by-step explanation:

Answer: first post the picture

Step-by-step explanation:

1. Take the picture

2. Post it on Brainly

3. Get your answer

what is this can someone please help ?

Answers

Answer:

The answer is most likely A

Hope this helps if t does please consider giving brainliest

Cya on the next one!

Step-by-step explanation:

Tim buys a jacket at $120.00. If he buys it during the Christmas sale,He will pay only 102.00. Calculate the percentage discount. Plz help and explain how to solve it l

Answers

Answer:

15% discount

Step-by-step explanation:

1 - (102/120)

1 - 0.85 = 0.15 = 15%

How do you find the slope from a equation​

Answers

Answer:

For example the equation is y=3x+4 ... the slope would be 3

It's the number coming before the x variable

1. F(-5)=2x+1
2. F(-4)=2x+1
3. F(1)=2x+1
4. F(3)=2x+1
5. F(5)=2x+1

Answers

Answer:

1. F(-5) = -9

2. F(-4) = -7

3. F(1) = 3

4. F(3) = 7

5. F(5) = 11

Step-by-step explanation:

For each problem, F(x) is replaced with x.

An example is F(-5) = 2x + 1 (your first question).

To solve this, you replace x with -5.

This creates F(-5) = 2(-5) +1

We just simplify by multiplying -5 by 2 and then adding 1.

-5 times 2 equals -10. -10 plus 1 equals -9.

Your final answer for this example problem would be F(-5) = -9.

This applies to all problems as such -- F(x) where x inside the parentheses replaces all x values in the equation.

Hope this helped!!

You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella

Answers

Answer:

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Step-by-step explanation:

Your question is poorly formatted (See comment section for complete question)

Given

[tex]x = \{elf, hobbit, human\}[/tex] ---- characters

[tex]n(x) =3[/tex]

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools

[tex]n(y) = 5[/tex]

Required

The probability that your character won't be a hobbit or your tool won't be an umbrella?

First we calculate the probability of choosing a hobbit.

[tex]x = \{elf, hobbit, human\}[/tex]

[tex]n(hobbit) = 1[/tex]

So:

[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]

[tex]P(hobit) = \frac{1}{3}[/tex]

Using the complement rule, we calculate the probability of not choosing a hobbit

[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]

[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]

[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]

Next, we calculate the probability of choosing an umbrella.

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]

[tex]n(Umbrella) = 1[/tex]

So:

[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]

[tex]P(Umbrella) = \frac{1}{5}[/tex]

Using the complement rule, we calculate the probability of not choosing an umbrella

[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]

[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]

[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]

The required probability is calculated using:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]

In this case;

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]

Take LCM

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

What is the sum of (3x + 5) and (4x - 4)?

Answers

Answer:

7x+1

Step-by-step explanation:

(3x+5) + (4x-4)

3x+4x+5+(-4)

7x+5+(-4)

7x+5-4

7x+1

Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared ​

Answers

Answer:

50.24

Step-by-step explanation:

Area = pi*r^2

r = diameter/2

r = 4

Area = pi*4^2

Area = 3.14*16

Area = 50.24

Answer:

Step-by-step explanation:

The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.

Here, with the circle diameter being 8, we figure the radius to be half that, or 4.

Then the area of this circle is A = (3.14)(4 in)², or

                                                 A  =  50.24 in²

On a trip, Gavin bought a ping-pong racket for $33. With the tax, he paid $36.96. What is the tax rate, in percent?

Answers

Answer:

12%

Step-by-step explanation:

Tax = 36.96 - 33 = 3.96

Tax rate = 3.96/33 * 100 = 12%

GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!

Answers

Answer:

The answer is option c....

Mark as brainliest

HELPPP PLEASEEEE
30 POINTSS

Answers

Answer: 1/2 mile

Step-by-step explanation:

[tex]2\frac{1}{2} -(\frac{1}{4} +1\frac{3}{4} )=Distance\\\22\frac{1}{2} =\frac{10}{4} \\\11\frac{3}{4} =\frac{7}{4} \\\frac{10}{4} -\frac{1}{4} -\frac{7}{4} =\frac{2}{4} =\frac{1}{2} \\[/tex]

Answer:

1/2 mile hope this helps

Step-by-step explanation:

A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?

Use π = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

1963.48

Step-by-step explanation:

25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=

π = 490.87 x 4= 1963.48

Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?​

Answers

Answer:

8 meters

Step-by-step explanation:

4x2=8

Prove that the point (2, 1) lies on the line with equation y = 3x – 5.

Answers

Answer:

3(2) - 5 = 1

Step-by-step explanation:

y = 3x - 5

(x, y)

plug x and y in

1 = 3(2) - 5

1 = 6 - 5

1 = 1

true

ANSWER ASAP NO LINKS WILL GIVE BRAINLIEST


a place from this table is chosen at random let event 4= the place is a city what is p(a^c)

a 3/7
b 4/7
c 2/7
d 5/7​​​

Answers

Answer:

A

Step-by-step explanation:

Which angle ALWAYS has the same measurement?
1. Acute angle
2.Right angle
3.Obtuse angle

Answers

Right angle since it always has the angle amount of 90 degrees

Which expression is equivalent to "4 times the sum of 3 and x"?
A 4(3x)
B, 4x + 3
C, 3 (x+4)
D. 4(x+3)

Answers

Answer:

D is the equivalent expression

it would be D because if it was 4 TIMES the SUM of 3 AND x it would make sense to multiply 4 by 3 and the x
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