Triangle ABC has the coordinates A(-3, -2), B(2, 4) and C(2,-2). What is the area of triangle ABC?
square units

Answers

Answer 1

Answer:   The area is 15 square units

Step-by-step explanation:  It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.

Use the differences in x-values of points C & A to get the length of the base:   2-(-3) is 5

Use the differences in y-values of points B & C to get the height:

4-(-2) = 6

Area = bh/2

A = 5×6/2 = 30/2

A = 15 square unts


Related Questions

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?

Answers

Answer:

The Answer is Actually D. I just took the Test and got it Correct! have a Great Day.!!

Step-by-step explanation:

The true statement is that both plans will not amount to $8000 in the end

The target savings is given as:

[tex]Target = \$8000[/tex]

The amount saved after a year is given as:

[tex]Savings = \$4000[/tex]

Start by calculating the amount saved each month (by dividing the saved amount by 12)

[tex]Monthly = \frac{\$4000}{12}[/tex]

For option (A): To increase the wedding by 2 months.

This means that the duration of savings would be 22 months.

So, the estimated savings would be

[tex]Estimate= \frac{\$4000}{12} \times 22[/tex]

[tex]Estimate= \$7333[/tex]

For option (B): Increase savings by $80.

This means that they have 8 months to complete their savings

The estimated savings would be

[tex]Estimate= \$4000 + (\$80 + \frac{\$4000}{12}) \times 8[/tex]

[tex]Estimate= \$7307[/tex]

For both plans, the estimated savings are short of the target savings of $8000.

Hence, none of the plans would amount to $8000 in the end

Read more about estimates and predictions at:

https://brainly.com/question/13821227

After learning how to fly, Wendy reduced her daily commute time by 75% Previously, her commute took m minutes. Which of the following expressions could represent Wendy's commute time, in minutes, after she learned how to fly? Help guys i don't know

Answers

Answer:

Given:

(i) Wendy reduced her daily commute time by 75% by learning how to fly.

(ii) Previously, it took her 'm' minutes to commute.

To find:

(i) Wendy's commute time in minutes after she learned how to fly.

Solution:

Given that earlier it took Wendy 'm' minutes to commute.

After learning how to to fly, the commute time reduced by 75%.

So, time taken now = (100-75)% of previous time

= 25% of 'm' minutes

= \frac{25m}{100}

100

25m

= \frac{m}{4}

4

m

So, the time taken by Wendy now is \frac{m}{4}

4

m

minutes.

Answer plzzzzzzzzzzzzzzz

Answers

Answer:

1 63636363 /1000000000

Step-by-step explanation:

Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.

Help please ;^;^;^;^;^;^;^;^;^; ​

Answers

Answer:

10n+10=8n-10

n= -10

I hope this helps

PLEASE HELPPPP MEEEEEEEE pleaseeee

Answers

-0.5

Step-by-step explanation:

Negative , has low correlation

12. (01.06)
Which phrase matches the algebraic expression below? (1 point)
2(x + 7) + 10
A.Two times the sum of x and seven plus ten
B.Two times the difference of x and seven plus ten
C.Two times x minus seven plus ten
D.Two times x plus the sum of seven and ten

Answers

Answer:

I choose my choice as A

Step-by-step explanation:

Two times the sum of (x+7) x plus seven plus ten (+10)

what is the equation for cx+4y=8t when your solving for x

Answers

x = 8t/c - 4y/c

isolate the variable by dividing each side by factors that dont contain the variable

how to do this step by step

Answers

Step-by-step explanation:

Make the 2nd fraction the inversre of itself i.e

[tex] \frac{22}{3} [/tex]

and do the multiplication of

[tex] \frac{12}{11} \times \frac{22}{3} [/tex]

you should get 4

Luis helped raise money for his school by jogging in the school jog-a-thon. The total
amount of money he raised can be represented by the expression 1.75m, where mis
the number of miles he jogged. If Luis raised a total of $21, how many miles did he jog?

Answers

Answer:

12

Step-by-step explanation: simple division

is the following relation a function (1 point)
-101

Answers

Answer:

No

Step-by-step explanation:

Does not pass vertical line test

please answer these questions I have an f if I don't get help I will die

Answers

Answer:

rip just search em up and its kinda blurry sorry

Step-by-step explanation:

Please help! For each of the following relations, identify whether it’s a function or not and why, then state the domain and range.

Answers

Answer:

The first one is a function, the second one is a function, and the third one is not a function.

Domain for the first one, just list the x values. Same for range.

Domain and range for the second one are both all real numbers.

For the last one, solve the quadratic, and find the vertex. The range will be all numbers greater than the y on the vertex, while the domain is all real numbers.

Step-by-step explanation:

An easy way to tell if something is a function or not is to check that each input (or x-value) has a different output (or y-value.) The first one is not a function because in the table, we see that 1 gives an output of 9, but later on you see 1 also gives an output of 20.

If you're ever given a graph and asked this question, do the vertical pencil test. Start at the left of the graph, and slide your pencil over the graph (vertically) and if your pencil ever hits more than one point at a time, it's not a function. Hope this helped!

5(2x-3)=24

Help me in this pleasee

Answers

Answer:

x = 3.9

Step-by-step explanation:

5(2x-3)=24

Distribute

10x -15 = 24

Add 15 to each side

10x-15+15 = 24+15

10x = 39

Divide each side by 10

10x/10 = 39/10

x = 3.9

The answer is x=39 under 10

Alvin was 15 feet below sea level.it then moved to 72 feet below sea level.please explain how to find how many feet the submarine descended and then tell how many feet did the submarine descended

Answers

To solve this youd have to do 72-15 which equals out to be 68 feet.

Your answer is The submarine descended 68 feet.

someone help me please please please I really need this ​

Answers

Answer:

Step-by-step explanation:

12

rs st tw rt rw sw

13

sr sw tr st tw

14

tr and tw

sr and st

I'll depend on you to add the proper markings on the answer.

There are 14 girls and 21 boys in Mrs. Andrews’s gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?

Answers

Answer:

7 teams of five with 2 girls and 3 boys

Ali's latest photo got 42 likes. this is 3 times as many likes as kate's latest photo. how many likes did kate's photo get ?

Answers

Answer:

14

Step-by-step explanation:

14 becuase if it was 3 times as many as Kate got then you would have to do the opposite than what it is asking so you would have to divide and you would get 14

Ali do be famous doe lol

Answer:

Kate's photo got 14 likes

Step-by-step explanation:

42 divided 3 is 14

How to find rational numbers between any two numbers for example like finding six rational numbers between three and four please elaborate

Answers

Answer:

The whole series is:

3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4

Step-by-step explanation:

Inserting Numbers Between Two Given Endpoints

Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].

To place n numbers, we need to open n+1 slots, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1) each.

For example, let's add 6 rational numbers between 3 and 4. The width of the given interval is 4-3=1, and we need to place 6 numbers separated by 1/(6+1) = 1/7.

Start by the left endpoint:

3

The first number to add is 3+1/7=22/7

22/7

The second number to add is 22/7+1/7=23/7

23/7

The third number is 23/7+1/7=24/7

24/7

The next numbers follow the same pattern:

25/7

26/7

27/7

The last number is 28/7=4

4

The whole series is:

3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4

We have inserted 6 rational numbers between 3 and 4.

Battery wholesaler produces 5200 batteries. Of those batteries produced, 8% are defective. How many batteries are defective?

40
416
650
41,600

Answers

Answer:

416

Step-by-step explanation:

Took the quiz. :<C

John takes one step every second, and each step is 33 inches long. How many miles per hour is John walking, given that 5280 feet = 1 mile? Express your answer as a decimal to the nearest thousandth.

Answers

Answer:

[tex]Speed = 1.875 miles/hour[/tex]

Step-by-step explanation:

Given

[tex]Speed = 33in/s[/tex]

Required

Convert to mile/hour

[tex]1\ inch = 1/63360\ mile[/tex]

[tex]1\sec = 1/3600\ hr[/tex]

So:

[tex]Speed = 33in/s[/tex]

[tex]Speed = \frac{33 * 1/63360}{1/3600}[/tex]

[tex]Speed = \frac{33/63360}{1/3600}[/tex]

[tex]Speed = \frac{33}{63360}/\frac{1}{3600}[/tex]

[tex]Speed = \frac{33}{63360} * \frac{3600}{1}[/tex]

[tex]Speed = \frac{33 * 3600}{63360}[/tex]

[tex]Speed = \frac{118800}{63360}[/tex]

[tex]Speed = 1.875 miles/hour[/tex]

Hence, John is working at 1875 miles per hour

Answer:

1.875 a hour

Step-by-step explanation:

It is this way because 33/12 is 2.75 so he is walking 2.75 feet a second

Multiply the second by 3600 and the 2.75 feet by 3600 and you get 9900

per hour divide 9900 by 5280 and you get 1.875

Help me plz!!! I give brainliest

Answers

where’s the image ? It isn’t loading

Answer:

i hope u accidentally hit the X and it doesn't save your work

Step-by-step explanation:

If 2(4x-7)=22, then 8x-14=22

Answers

If this is a true or false statement then it is true

What is the range of the set of ordered pairs below? {(2, 3),(0, 6),(- 2, 9),(4, 0)}​

Answers

Answer:

{3,6,9,0}

Step-by-step explanation:

The range is the set of all second elements of ordered pairs (y-coordinates).

Find the midpoint of segment LK with endpoints L(-2, 4) and K(5,3).

Answers

Answer: (1.5, 3.5)

Explanation:
Find the slope by using the coordinates for points L and K.

3 - 4 = -1
5 - (-2) = 7
Slope = -1/7

Then you plot your points on the graph.
But you want to half your slope to find the midpoint. So your slope would now be -0.5/3.5.

And when you follow that slope, you will plot down the coordinate (1.5, 3.5), which is the midpoint.

Hope this helped! :3
(Also don’t mind the 19 at the top left)

Identify a pair of same-side interior angles

Answers

Answer:

I cant see the attachment

Step-by-step explanation:

???

Answer:

ITS 4 AND 7 Step-by-step explanation:

Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot of landscaping, whereas Company B charges a $90 monthly consulting fee plus $12 per square foot of landscaping. For how many square feet of landscaping will the two companies charge the same amount?

Answers

Answer: 80 sq. ft

Step-by-step explanation:

Company A’s charges can be represented by the equation: 10m + 250

Company B’s charges can be represented by the equation: 12m + 90

To find when the square feet got which they have the same amount, I will set them equal to each other and solve for it.

10m+250=12m+90

-10m -10m

250=2m+90

-90 -90

160=2m divide both side by 2

80=m

For 80 square feet, both companies charge the same amount.

Find the slope of a line parallel to the given line: 7x - 3y = -6

Answers

Answer: 7/3

Step-by-step explanation:

URGENT PLEASE I URGENTLY NEED HELP I REALLY DONT WANT TO FAIL

Answers

Answer:

Yes, it should work.

Step-by-step explanation:

DC=AB  (because it is a rectangle and they are parallel)

DA=CB (because it is a rectangle and they are parallel)

DB=AC (given)

Those are all sides and gives enough information for us to know that it is congruent.

Write 9.202 using words

Answers

Answer:

Nine point two hundred two

What is the value of 0.15 divided by
0.05?

Answers

3!
:) hope this is right
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