What is the area of ABC?

What Is The Area Of ABC?

Answers

Answer 1

Answer:

Area of triangle ABC = 10

Option C is correct.

Step-by-step explanation:

We need to find area of triangle ABC

We are given A(2,1) B(4,7) and C(6,3)

The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:

In the given triangle base= AC and height = BC

First we need to find the distance between A and C and B and C

The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]

find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]

So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]

Finding area of triangle

[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]

So, Area of triangle ABC = 10

Option C is correct.


Related Questions

what is 9 time 64 what does it equal to

Answers

Answer:

It's 576 if you mean 64 times 9!

Step-by-step explanation:

9x-7= -7
solve for x

Answers

Answer:

-2

Step-by-step explanation:

Answer

x=0


Explanation

Meteorology A Weather forecaster uses a barometer to measure air pressure and make weather predictions. Suppose a standard mercury barometer reads 29.8 in. The mercury rises 0.02 in. And then false 0.09 in . The mercury falls again 0.18 in. Before rising 0.07 in. What does the word "rise" suggest? What does the word "fall" suggest?

Answers

Answer:

rise : atmospheric pressure increases

fall : atmospheric pressure decreases

Step-by-step explanation:

In the context, it is given that a weather forecaster takes the help of the barometer to check the air pressure and predicts the weather. The column of mercury level in the barometer shows a rise or fall in the glass tube as the weight of the atmosphere falling on the mercury surface changes.

Here it is given that the mercury rises for 0.02 in, then it falls 0.09 in,  it then rises by 0.07 in and then again falls by 0.18 in. The word "rise" here shows that the weight of the atmosphere is more. In other words, increase in atmospheric pressure increases the level of mercury in the glass tube and the decrease in or "fall" in the mercury level shows the drop in atmospheric pressure.

im bad at math so help ill mark the first person brainliest ty

Answers

Answer:

A. -x² + 2x + 8

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 1

g(x) = x² - 7

(f - g)(x) is f(x) - g(x)

Step 2: Solve

Substitute:                    (f - g)(x) = 2x + 1 - (x² - 7)Distribute -1:                 (f - g)(x) = 2x + 1 - x² + 7Combine like terms:    (f - g)(x) = -x² + 2x + 8

(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *

Answers

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

The question is in the image! Please help if u can its due really soon

Answers

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

Which property should be used next in this solution process?
3x + 2 + 3 = 7(x - 1) – 4
3x + 5 = 7(x - 1) – 4
A. Commutative Property of Addition
B. Identity Property of Multiplication
C. Associative Property of Multiplication
D.
Distributive Property

Answers

Answer:

niwebfasfbjsdfb

Step-by-step explanation:

jsdfhsdbfjhadsjbdsfhb

the answer would be d

9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.

Answers

the tree is 30 feet

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

(0, 1)
(1, 1)
(2, 1)

Answers

Answer:

(1,1)

Step-by-step explanation:

can you guys help me please ?

Answers

Answer:

4x + 12 = -4

4x = -16

x = -4

Step-by-step explanation:

Have a great day :)

z = 24a - 2b

solve for a​

Answers

Answer:

a= (Z + 2b)/24

Step-by-step explanation:

given:

Z = 24a - 2b

to solve for a, we will try to move "a" to one side of the equation and all other terms to the other side:

Z = 24a - 2b    (add 2b to both sides)

Z + 2b = 24a -2b +2b

Z + 2b = 24a  (switch sides)

24a = Z + 2b (divide both sides by 24)

a/24 = (Z + 2b)/24

a= (Z + 2b)/24

A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9

minutes. How long would it take for the pool to be completely drained? (1 point)

Answers

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?

(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2

Answers

(9x+8y)^2 =(9x)^2+2x(9x)x(8y)+(8y)^2

A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.

Identify how many miles per day the Boden family is planning to travel.

miles per day

Answers

Answer:

202 miles per day

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.

The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.

Determine the initial number of miles that the Boden family drove before they made their plan.

771 miles

367 miles

165 miles

135 miles

This is your correct answer 165, oops this is the wrong question sorry

please solve this for be before 7pm EDT​

Answers

Answer for #5:

7 friends

Step-by-step explanation:

convert fraction into 4ths:

1/4, 2/4, 3/4, 1/4

add together:

7/4ths

if each friend ate 1/4 of the pizzas, then there are 7 friends

Mrs. Booker's meal at Chick-fil-A costs $16.78.
The tax on the meal is 6%. How much was her
total bill, including tax?

Answers

Answer:

17.79

Step-by-step explanation:

16.78*1.06=17.886

I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.​

Answers

Answer:

The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8

Step-by-step explanation:

Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.

18 - 10 = 8 dollars.

Now that we have the m and b values, we can create our equation.

The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.

Does 80/100 equal -8

Answers

Answer:

No.

Step-by-step explanation:

80/100 equals 0.8


1. Dilate A using P as the center of dilation and a scale factor of 3. Label the new point
A'.
2. Dilate Busing Pas the center of dilation and a scale factor of 2. Label the new point B'

Answers

Answer:

Step-by-step explanation:

Rule for the dilation of a point by a scale factor 'k',

(x, y) → (kx, ky)

If we impose this rule in this problem,

k = [tex]\frac{\text{Distance of A' from P}}{\text{Distance of A from P}}[/tex]

1). If k = 3

   Therefore, Distance of A' from P = 3(Distance of A from P)

   And point A' will be on the third circle.

2). If k = 2

   Distance of B' from P = 2(Distance of B from P)

   Since, B is on circle 2, B' will be on circle 4.

Now we can plot these points A' and B' on the graph.

After the dilation point A becomes A' and it is at a distance of 3 units from point P and after the dilation point B becomes B' and it is at a distance of 2 units from point P.

1)

Given :

Dilate A using P as the center of dilation and a scale factor of 3.

Let the coordinates of point A be (x,y) then after dilation point A becomes A'(3x , 3y). So, the distance of the point A' from the point P is 3 units

2)

Given :

Dilate Busing P as the center of dilation and a scale factor of 2.

Let the coordinates of point B be (x',y') then after dilation point B becomes B'(2x' , 2y'). So, the distance of the point B' from the point P is 2 units

For more information, refer to the link given below:

https://brainly.com/question/2856466

Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next

Answers

Answer:

Matching the population trend to a contributing factor:

Contributing Factors                                                 Population Trends

government-sponsored family control programs    Low birth rate

agricultural economies                                              increase in food supply

medical advancements                                             low death rate

Industrial Revolution                                                 high birth rate

Step-by-step explanation:

a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.

b) Defining population trends:

1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.

2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.

3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.

4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.

Answer:

The first one is children and adolescents

the second one is adults

the third one is pregnancy

the last one is indivisuals with brittle bones

Step-by-step explanation:

hope this helps :D

-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3

Answers

Answer:

-1.48148148

Step-by-step explanation:

-7 x -8 = 56

-7 x -4a = 28a

25-56=-31

27a/-31

a=-1.48148148

what’s 8.43 x 10^7 in standard form?

Answers

Answer: 84,300,000
Simply move the decimal place to the right 7 places

Solve for r: 7r+ 30 = -65​

Answers

Answer:

R= - 95/7

Step-by-step explanation:

What is the greatest common factor of 14, 51 ,21

Answers

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?

Answers

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

[tex]ax^2+bx+c[/tex]

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

[tex]a(x-h)^2+k[/tex]

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

[tex]a(x-p)(x-q)[/tex]

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

Please help!
Rewrite the rational exponent as a radical. (2 points)

Answers

Answer:

Answer: 3) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]

We should also recall that:

[tex](x^n)^m=x^{nm}[/tex]

We are given the expression:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]

Applying the power of power:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]

Simplifying:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]

Converting to radical form:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]

Answer: 3) [tex]\sqrt{5}[/tex]

. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?

Answers

Answer:

4miles

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

Students had two options for lunch, either a taco salad or a hot dog.

The ratio of taco salads to hot dogs is 3:1.

If a total of 80 lunches were served, how many were hot dogs?

Answers

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

Other Questions
How do human beings negatively affect the carbon cycle?Human beings burn fossil fuels, which contribute carbon dioxide to the atmosphere.Human beings conserve resources, which decrease resources for the carbon cycle.Human beings mine resources, which increases the amount of oxygen available to the carbon cycle.Human beings use carbon-based pencils, which decreases the amount of carbon dioxide in the atmosphere.Eww type a story about something that happened in your life. Egypt's physical environment limited trade. true or false please help!! 1. What are the differences between Gatsby's lifestyle and Daisy's lifestyle? why is judas maccabeus considered a hero? if compose means to put together then decompose means to what? PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root. 5x-6y=-4 -6x+6y=-6 solve using elimination HELP. On January 1, 2020, Ivanhoe Company purchased 12% bonds, having a maturity value $325,000 for $349,639.81. The bonds provide the bondholders or premium. The bonds are classified as available-for-sale category. The fair value of the bonds at December 31 of each year-end is as follows. 2020 $347,400 2023 $334,900 2021 $333,800 2024 $325,000 2022 $332,800 (a) Prepare the journal entry at the date of the bond purchase. (b) Prepare the joumal entries to record the interest revenue and recognition of fair value for 2020. (c) Prepare the journal entry to record the recognition of fair value for 2021. (Round answers to 2 decimal places, e.g. 2,525.25. Example 3.7.4: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares Freida wants to model the way atoms move when a substance changes its state. To do this, Freida makes a pyramid of marshmallows. Then, she knocked down the pyramid causing the marshmallows to fall. If the marshmallows represent the atoms in the substance, which change of state is Freida modeling? These two triangles are similar what is the measure of angle M? How does Angelou's comment about the liberal woman from Texas identify the immediate audience for her essay? Last question. Anybody know this ? 3/4 divided by 2/3 in simplest form What struggles do young girls often face that young boys do what what is the fraction of 23% What is the value of a for the following circle in general form?X^2+y^2+ax+by+c=0 Conduction In Everyday Life Examplesat least 5 plz help For which of the following topics would youmost likely use a compare/contrast graphicorganizer? *The benefits of owning a laptop computerThe uses of a thesaurusThe climate of HawaiiOThe ingredients in pound cake and lemonpie