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

72.4 divided by 4 please help!!!!

Answers

Answer:18.1

Step-by-step explanation:

QUIZ
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Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2

Answers

y = x + 2

It starts out at (0,2) which means it needs to be up 2 from the parent graph (y = x). Then using the slope equation, the slope is 1

What is the square root of 81/100

A. 81/100
B. -9/10
C. 9/10
D.8/10

Answers

Answer: 9/10

Step-by-step explanation: I know this because 9 times 9 is 81 and 10 times 10 is 100.

I am pretty sure it’s C.

HELP PLEASE ANSWER ALL THREE OF THEM IM TIMED AND IM SUPPOSE TO DO THEM NOW

Answers

Answer:

35.72 is the answer to the problem

y = x - 2
y = 3x + 4
Is (4, 2) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

If you plug in the coordinates (4,2) to y=x-2 it will give you 2=2 which is rite, but if you plug it in to y=3x+4 it will give you 2=16 which isn't rite.

This is my question​

Answers

[tex]f(x) = (x - 4)(x - 3) \\ g(x) = \frac{7}{(x - 4)(x + 4)} \\ f.g = (x - 4)(x - 3) \times \frac{7}{(x - 4)(x + 4)} \\ (x-4)s \: are \: simplified \\ f.g = \frac{(x - 3) \times 7}{x + 4} = \frac{7x - 21}{x + 4} \\ (f.g) (x) = \frac{7x - 21}{x + 4} [/tex]

Compared to its parent function the transformation of the following : y= -3x - 3 + 4
a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 up

b) stretched horizontally, moved 3 to the right and 4 up

c) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 up

d) stretched horizontally, moved 3 to the left and 4 down

Answers

The answer is B
Hope it helps!!

At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. How much money was raised if the fundraiser sold 238 adult tickets and 375 children’s tickets?

Answers

Answer:

2,654$

Step-by-step explanation:

8a + 2c

8 x 238 = 1,904

2 x 375 =  750

750 + 1,904 = 2,654

2,654$

Hopefully this helps you

pls mark brainlest

write 23.4571 correct to ,
a,4 significant figure
b,the nearest 10​

Answers

Answer:

I would say B

Step-by-step explanation:

Its b my teacher told me

ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground

Answers

Answer:

The ball will take 8.90 seconds to hit the ground.

Step-by-step explanation:

The height of a ball after t seconds is given by:

[tex]h(t)=40t-5t^2[/tex]

Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:

[tex]40t-5t^2=-40[/tex]

Rearranging:

[tex]5t^2-40t-40=0[/tex]

Simplifying by 5:

[tex]t^2-8t-8=0[/tex]

Solving the quadratic equation with the formula:

[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

With a=1, b=-8, c=-8

[tex]\displaystyle t=\frac{8\pm \sqrt{64+32}}{2}[/tex]

[tex]\displaystyle t=\frac{8\pm \sqrt{96}}{2}[/tex]

There are two solutions:

t=8.90 sec, t=-0.90 sec

Due to the nature of the problem, t cannot be negative, thus:

The ball will take 8.90 seconds to hit the ground.

Show work please.... thanks

Answers

Answer:

[tex]x=-155/6[/tex]

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]

Step 2: Solve for x

Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]Distribute: [tex]4x-140=10x+15[/tex]Subtract 4x on both sides: [tex]-140=6x+15[/tex]Subtract 15 on both sides: [tex]-155=6x[/tex]Divide both sides by 6: [tex]-155/6 = x[/tex]Rewrite: [tex]x=-155/6[/tex]

Answer:

x = -25.83333333

or as a fraction

-155/6

Step-by-step explanation:

Can someone help me out with this problem

Answers

Answer:

x = 117°

Step-by-step explanation:

Vertically opposite angles are equal

One of the triangle's properties is that the exterior angle is the sum of the opposite angles (interior angles)

What is the side length,s,of the square?enter your answer in the box
3. How would you classify the
number 125?
A) perfect square
B) perfect cuber one
C) both a perfect square and a
perfect cube
D) neither a perfect square nor a
perfect cube

Answers

b a perfect cube because 5 cubed is 125

Which pair of angles are corresponding angles?

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

Both [tex]\angle 4[/tex] and [tex]\angle 8[/tex] are Corresponding Angles, they are in the same side of the transversal line, and where a line crosses two other lines.

Step-by-step explanation:

<4 and <8 are corresponding angles because they are on the same side of the transversal and are at the same location and they are congruent meaning they are equal

From the diagram below, if the measure of < <= 30°, and side AB = 16, then side AC =

Select one:
a.
b.8
C.32
d. 16

plsss help it’s for geometry 2

Answers

Answer:

32

Step-by-step explanation:

The length of AC as per he sine of an angle is 32.

What is the sine of an angle in a right angle triangle?

The sine of an angle is the ratio of the height and the hypotenuse of the triangle.

Given, ∠C = 30°

AB = 16

Therefore, sin ∠C = (AB/AC)

Therefore, sin (30°) = 16/AC

⇒ (1/2) = 16/AC

⇒ AC = 2 × 16

⇒ AC = 32

Learn more about the sine of an angle here: https://brainly.com/question/22688137

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Evaluate 6p - 3 when p = 2

Answers

Answer:

9

Step-by-step explanation:

since you replace the p with 2 the 6 and 2 are close to each other so that means you multipli so 6x2=12-3=9

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibles?
( I need the answers, plus the steps please and thank youuu :)

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the model:

s = 10│x - 4│+ 50

s represents the sound level in decibels and x represents the number of measures of music played

To find x at s = 80

The equation becomes /

80 = 10│x - 4│+ 50

Subtract 50 from both sides of the equation

80 - 50 = 10 |x - 4| + 50 - 50

30 = 10 | x - 4 |

Divide both sides by 10

30/10 = 10|x - 4| / 10

3 = |x - 4|

|x - 4| is an absolute value expression

±3 = |x - 4|

x = 3 + 4 = 7

x = - 3 + 4 = 1

D
Two friends rent an apartment together.
They agree that one person will
рау 1.5
times what the other person pays. If the rent
is $850, how much will each friend pay?

Answers

Answer:

Friend A pays $340 and friend B pays $510

Step-by-step explanation:

Let's call

x: payment of friend A

1.5x: payment of friend B

The sum of both payments must total $850, thus:

x + 1.5x = 850

Simplifying:

2.5x=850

x = 340

Now for friend B:

1.5x=1.5*340=510

Friend A pays $340 and friend B pays $510

Are the ratios 15:10 and 3:2 equivalent? yes no​

Answers

Answer:

yesss they are

Answer:yes

Step-by-step explanation:

What is the GCF of 18x^2, 6x​

Answers

Answer:

6x - Goes both into 18x^2 and 6x evenly.

10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she
received for her birthday and deposits her pay checks each month after that, write a function for the
total amount of money in her savings account based on how many months the account has been open.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
11. Kevin needs to get his truck fixed. The mechanic tells Kevin the part he needs will cost $75 and
there will be a fee of $60 per hour for labor. If the total cost to fix his truck is a function of the number
of hours the mechanic has to work (labor) on the truck, write a function to represent this situation.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:

Answers

Answer:

uh uh uh uh uh I'll try uh uh uh uh uh

Is the following number irrational?
-8.7


Answers

Answer:

No.

Step-by-step explanation:

Rational numbers are any of the following:

Integers (positive whole numbers, negative whole numbers, or zero).Fractions e.g. 3/4Terminating (with an end) or repeating decimals e.g. 0.2 or 0.333333... or 0.343434...

Irrational numbers are thus defined as:

Non-terminating (unending), non-repeating decimal numbers. e.g. π, surds ( [tex]\sqrt{2}[/tex] ).

This means that -8.7 is not irrational, as it is not an unending, non-repeating number: an easy way to remember how to answer this is to look at whether the number has been expressed in decimal form if it has (unless you have been told that it has been rounded) it must be rational, as it can be written as a decimal number.

Ac=20 bc=2x+12 ab=2x+8find x

Answers

20 + 2x + 12 + 2x + 8
40 + 4x

Answer:

x = 0

Step-by-step explanation:

AB + BC = AC

therefore

2x+8 + 2x+ 12 = 20

combine like terms

4x+ 20 = 20

Subtraction property of equality

4x + 20 - 20 = 20 - 20

4x = 0

Division property of equality

4x/4 = 0/4

x=0

If the distance between opposite numbers on a line is 8 units, what are the opposite numbers? Pls hurry

Answers

Answer:

-4 and 4

Step-by-step explanation:

You count between the zeros like when you jump on a number line or just don't count the zero

_ _ _ _ _ _ _ _

     -4, -3, -2 ,-1, 0, 1, 2 ,3, 4

I'm not 100% so plz tell if right!! I'm 90% sure.

Answer:

1 and -7

Step-by-step explanation:

To be honest, everything!

Answers

Answer:

?

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

same

a+c=r- d Solve for a .
A a =p+d-c
B
a=c+p-d
C a = d+r+c
D a=r-d-c

Answers

Answer:

D

Step-by-step explanation:

a + c = r - d

a = r - d - c

The answer is D a=r-d-c

Simplify.
3/4 squareroot -48

Answers

Answer:

3i √3

Step-by-step explanation:

you can't have the square root of a negative number

so we use "i"

Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number

Answers

Answer:

x+(x+2) = 3(x+4) -27

Step-by-step explanation:

Let's look at all the parts.

Consecutive odd integers... that means that if x is the first one, then x+2 will be the next largest one, and x+4 will be the largest one.  So if x is 5, x+2 is 7, and x+4 is 9.

Jaiden wants to buy a new pair of jeans. If the jeans were originally $80.00, but are on sale with a 25% discount, how much will Jaiden have to pay for the jeans?

Answers

Answer:

he would have to pay $60

Step-by-step explanation:

The price of jeans that Jaiden has to pay after the discount will be equal to $60.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Original price of jeans = $80

Percentage discount on sale = 25%

Then, the discount of price on the jeans will be,

80 × 25/100 = $20

Then, the price of jeans after the discount will be,

$80 - $20 = $60

To know more about Percentage:

https://brainly.com/question/29306119

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i don’t know how much she need to make

Answers

Answer:

4

Step-by-step explanation:

She can make 4. Have an amazing day

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