The vertices of a triangle are A(0,0),B(3,8) and C(9,0). What is the area of this triangle?

Answers

Answer 1

Answer:

9

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Fill in the numbers for each corresponding letter combination within the formula.

Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).

Subtract the numbers within the parentheses.

0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.

Multiply that result by the number to the left of the parentheses.

0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.

Add the three products together.

0 + 0 + 18 = 18

Divide the sum of the three products by 2.

18 ÷ 2 = 9

Answer 2

Answer:36

Step-by-step explanation:


Related Questions

At a vehicle dealership 5 cars are sold for 2 trucks. Last year the dealership sold 128 trucks how many cars did they sell?

Pls help this is the hardest one i have

Answers

The answer should be 64 cars sold at the dealership

Identify the slope and y-intercept of the line 4x + 2y < 3.

Answers

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + [tex]\frac{3}{2}[/tex]

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball championship this year. They were so evenly matched that the game lasted 11 innings! The Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?

Answers

Answer:

11/3 = 3 2/3 innings

Step-by-step explanation:

3 pitchers = 11 innings

1 pitcher = x innings

in the first equation, divide both sides by 3 to get 1 pitcher on one side

1 pitcher = 11/3 innings = 3 2/3 innings

A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.

Answers

Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

What is the difference between a credit score and a credit rating?
a.
A credit score and a credit rating are the same thing.
b.
A credit score is a measure of how much debt you have, and a credit rating is a measure of your creditworthiness.
c.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
d.
A credit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus.

Answers

A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.

What is a credit score and a credit rating?

A credit score is a number indicating your creditworthiness. A credit score usually lies between 300 and 850. A credit score is used to estimate how likely it is that you would pay your credit.

A credit rating is a measure of in letters that expresses the credit worthiness of an individual.

Answer:

c

Step-by-step explanation:

Rate of change for y=5x+30

Answers

Answer:

5

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)

Answers

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

[tex]25 = c^{2}[/tex]

c = 5

5 is our hypotenuse

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]

a^3/2a^0 simplify pls i need help

Answers

Answer:

a^3/2

Step-by-step explanation:

a^3/2a^0

We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as

a^3/2(1)

We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2

Thus, our simplified expression is

a^3/2

the price of a stock rose from a yearly low of $9.68 to $18.61. what was the stock percent increase from its low price that year?


please help me, thankyou

Answers

Answer:

From the time Ms. Cruz purchased a stock till closing time that day, the value of the stock changed by -27.2 points. During that time, the stock value

changed at a steady rate of -6.4 points per hour.

(422 +
+ 72 – 8) and (-2 + 3)
-

Answers

Answer:

HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next

Step-by-step explanation:

return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would

A square tile has sides of 20 cm how many tiles are needed to cover an area of 3 m by 1.8m

Answers

Answer:

135 tiles

Step-by-step explanation:

3 x 1.8 = 5.4 (m2)

20 cm = 0.2 m

0.2 x 0.2 = 0.04 (m2)

5.4 / 0.04 = 135 (tiles)

QUESTION 4
Round the following number to two significant digits: 137,426.9

Answers

137,426.9 is 140,000 when rounded to 2 sig figs

Simplify the expression 16+​(−5​)−6/7j−2/7j+6

Answers

It is B because I just not make sense and also c does not make sense and all the others to make sense to only one that makes sense to speak

I need help with this please​

Answers

0.25 but half but 26:26 Its same but half of half ....

Suzanne gets 7% commission on all of her sales. If she makes a sale of $350,000, how much commission will she make?

Answers

Answer:

$24,500 of commission

Step-by-step explanation:

350000*0.07 = 24,500

Help pllsssssss to find the vAlue of a

Answers

Answer:

a = 11

Step-by-step explanation:

As all angles on a straight line must add up to 180°:

(9a + 6) + 75 = 180

9a + 6 + 75 = 180

9a + 81 = 180

Subtract 81 from both sides of the equation:

9a + 81 - 81 = 180 - 81

9a = 99

Divide both sides by 9 to isolate a:

9a ÷ 9 = 99 ÷ 9

a = 11

Hope this helps!

Answer:

[tex]a=11[/tex]

Step-by-step explanation:

These are supplementary angles, meaning they together make up the whole measure of the angle of a straight line. A straight line is 180°, so the sum of these has to be 180° too:

[tex](9a+6)+75=180[/tex]

Then just solve for a:

[tex]9a+6+75=180\\9a+81=180\\9a=99\\a=11[/tex]

The ordered pair (-3,9) is in the _______ Quadrant

Answers

Answer:

It would be located in the second quadrant

Step-by-step explanation:

The reason for this is because the x is a negative and the y is positive.

Can you guys please help!!!!! I need to know what 13x4=nx26 means???!!!!????

Answers

Answer:

n = 34/13

Step-by-step explanation:

13 x 4 = n x 26

=> 68 = 26n

=> n = 68/26

=> n = 34/13

Therefore, n = 34/13

Hoped this helped.

[tex]GeniusUser[/tex]

Use distribution property to this expression

6( 5 —q) what is the answer plzzzzzz helpppppp meeeee

Answers

Step-by-step explanation:

All the steps are in the pictures. If you have any questions let me know and I'll explain in simple terms :)

What is the equation of the line?

Y= 1/2x + 2

Y= 2x + 2

Y= 2x - 4

Y = 1/2x - 4

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

The cost C to produce x number of tennis rackets is C = 190 + 18. The tennis rackets are sold wholesale for $23
each, so revenue R is given by R = 23x. Find how many tennis rackets the manufacturer needs to produce and
sell to break even.
38 tennis rackets or
43 tennis rackets or
19 tennis rackets or
33 tennis rackets

Answers

Answer:

19 tennis rackets

Step-by-step explanation:

Find the value of x and y

Answers

Answer:

X=90

Y=43

Step-by-step explanation:

hope it will help goodbye

This year, a small business had a total revenue of $41,600 . If this is 28% more than their total revenue the previous year, what was their total revenue the previous year?

Answers

Answer:

Hey will you marry me? serious question

Answer plzzz!!!!!!!!!!!

Answers

Answer:

110

Step-by-step explanation:

Know the angle for BCD which is 130.

Subtract 180 from 130 and you get angle c for the triangle which is 50

Already knowing B and C, add them both which comes up to 70

All triangle angles equal 180 so subtract 70 for 180 and you get 110

What is the volume of the following cylinder?



150.72 in. 3
301.44 in. 3
75.36 in. 3
602.88 in. 3

Answers

Answer:

150.72 in³

Step-by-step explanation:

We know that

Radius = Diameter/2

Radius = 8/2

Radius = 4 in

Now,

Volume of cylinder = πr²h

=> 3.14 × (4)² × 3

=> 3.14 × 16 × 3

=> 150.72 in³

Answer:

The correct answer is option 150.72 in³.

Step-by-step explanation:

Given :

✧ Diameter of cylinder = 8 in.✧ Height of cylinder = 3 in.

To Find :

✧ Volume of cylinder

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^{2}h}}}}}}[/tex]

»» r = Radius »» D = Diameter »» V = Volume »» h = height

Solution :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{8}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = 4 \: in}}}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 4 \: in}}}}}}[/tex]

Hence, the radius of cylinder is 4 in.

[tex]\rule{300}{1.5}[/tex]

Now, finding the volume of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4)}^{2} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4 \times 4)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(16)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 16 \times 3}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 48}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{15072}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of cylinder is 150.72 in³.

[tex]\rule{300}{1.5}[/tex]

Please help me answer this​

Answers

Answer:

1) 1:2          2) 3

3) 1:8         4) 2:7

5) 1:4         6) 3:7

7) 2:5         8) 3:11

9) 2:7         10) 4:7

11) 8:9        12) 7:11

13) 1:2        14) 3

15) 26:27   16) 1:40

17) 1:10       18) 1:100

19) 1000    20) 10

Step-by-step explanation:

HELP!!

Name the property below

(2+7) +3= 2+(7+3)

A. associative
B. Commutative

Answers

Associative property!
The property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends!
Hope this helps!

Help help help help help math math math

Answers

Check the picture below.

Answer:

x=33

Step-by-step explanation:

Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.

Answers

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

slope-intercept form:

[tex]y=mx+b[/tex]

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

[tex]3x+y=-5[/tex]

In this case, all you need to do is subtract 3x from both sides.

[tex]y=-3x-5[/tex]

Here, the slope is -3. The slope of a parallel line will also be -3.

Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]

Finally, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=-3x-8[/tex]

which erosional force acts alone to produce avalanches and landslides?

Answers

Answer:

Freeze thaw cycle

Step-by-step explanation:

The force which produce avalanches and landslides is gravity.

What is erosion?

The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.

The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.

The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.

Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.

Prevention's,

Be mindful of your surroundings and keep an eye out for changes in the environment.

When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.

Because landslides are more likely to occur where they have already happened, look for landslide scars.

Hence,  Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.

Learn more about erosion;

https://brainly.com/question/3852201

#SPJ6

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