5E. Given ▲ABC with vertices A(2, -1), B(5, 6), and C(-1, 4) as shown. Find the number of square units in the area of ▲ABC in the simplest form.

Answers

Answer 1

Answer:

Area = 18 square units

Step-by-step explanation:

Given

[tex]A =(2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

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

[tex]C = (-1,4)[/tex] --- [tex](x_3,y_3)[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 - y_2)|[/tex]

[tex]Area = \frac{1}{2} * |2(6 - 4) + 5(4 - -1) -1(-1 -6)|[/tex]

[tex]Area = \frac{1}{2} * |2*2 + 5*5 -1*-7|[/tex]

[tex]Area = \frac{1}{2} * |36|[/tex]

[tex]Area = \frac{1}{2} * 36[/tex]

Area = 18 square units


Related Questions

I got 0.2 but that’s not an option. please help

Answers

This is impossible. The answer is 0.2. Tell your teacher about the impossible problem.

NEED HELP W MY OTHER QUESTIONS! plsss

Answers

Answer:

x = 80 degrees

Step-by-step explanation:

80°. It’s going to be equal to the other side

can someone help me choose which graph???

Answers

Answer: Plan Z because you get 10 hours for $38

Step-by-step explanation:

What is the quotient of 2^x3+ 3^x2 + 5x-4 divided by x^2 + x +1?

Answers

Answer:

quotient: 2x+1     Remainder: 2x-5

Step-by-step explanation:

2 x³ + 3 x² + 5 x - 4 = (2 x + 1) × (x² + x + 1) + 2 x - 5

The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1 will be 2x + 1 and [(2x - 5) / (x² + x + 1)]. Then the correct option is D.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1. Then we have

x² + x + 1 )2x³ + 3x² + 5x - 4 (2x + 1

             - 2x³ - 2x² - 2x      

                          x² + 3x - 4

                        - x²  - x   - 1

                                2x  - 5

The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1 will be 2x + 1 and [(2x - 5) / (x² + x + 1)]. Then the correct option is D.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

Label each statement as True or False.

Answers

Answer:

1. False

2. False

3. True

Answer: 1. False 2. False 3. False

Step-by-step explanation:

All circles are similar Figures can be proven similar if one, or more, similarity transformations can be found that map one figure onto another. Consequently, a circle is defined by only one length - the radius.

HELP ASAP PLEASE I KEEP GETTING IT WRONG:(

Answers

Answer:

I think it's the amount of money Mary earns for 10 hours worked.

Step-by-step explanation:

The answer is D i just took usatestprep

Answers

Answer:

Huh? where is your question?

Step-by-step explanation:

The length of a poster is 26 inches. The width of the poster is half its length. What is the area of the poster? HELP PLEASE!

Answers

Answer:

338

Step-by-step explanation:

26 divided by 2 is 13. the width is 13. 26 times 13 is 338

hope this helps!

338.
EXPLANATION:
To find the area you multiply
width x length.

If the width is half of 26, the width is 13.

Width x length can be replaced with
13 x 26.

Which is 338.

HAVE A GUD DAY!

What's the area of the circle r=1.2 yd plss help

Answers

Answer: 1.44pi

Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)

A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ cm.

What is the area of the hexagonal floor tile?

Enter your answer as a decimal to the nearest hundredth.
area = cm2

Answers

Answer:

41.57 cm²

Step-by-step explanation:

to understand thisyou need to know about:geometryPEMDAStips and formulas:area of a regular hexagon when apothem is given:½×P×Alet's solve:

parimeter of a regular hexagon:6a

therefore

=½×[4×6]×2√3 cm²

simplify parentheses:

=½×24×2√3 cm²

simplify fraction:

=24×√3 cm²

=41.57cm²

Answer:

41.57

Step-by-step explanation:

took the test

PLEASE HELP MARKING BRAINIEST

Answers

Answer:

B 2

Step-by-step explanation:

Because the leading term makes the difference on whether a parabola opens upward or downward.

If the leading coefficient of the leading term (which is 2) is negative it opens downward. If it is positive like it is in the equation then it opens upward.

Hope that helps :)

The radius of circle B is 6 centimeters. The area of the shaded sector is 31.42 square centimeters. Calculate the angle of the sector. Round to the nearest degree.

Answers

Answer:

100

Step-by-step explanation:

i dont know but the website i was on said 100

Geometry 10th Grade. Help but only with right answers don't waste the answers

Answers

Answer:

the last one, d

Step-by-step explanation:

simplify it and you get x+3, y+1 which is the translation on the graph.

Given f(x)=3(x-1)(x-7) what is the minimum output value of the function

Answers

Answer:

-27

Step-by-step explanation:

f(x) = 3(x-1)(x-7)

     = (3x-3)(x-7)

     = 3x^2 - 24x + 21

when f(x) = 0, x = 7 or 1

x-intercept of vertix of the graph = (7+1 )/ 2 = 4

f(x) attains it's minimum when x = 4

The minimum output value = 3(4-1)(4-7)  = -27

Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)

Answers

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

Ill give brainliest to someone who answers this correctly

Answers

Answer:

12) 0.29

14) 7.68

15) 10.86

Step-by-step explanation:

What he said was correct

6ya +7y{a
Find the sum
O 13y^2
O O 13ay
O 13y/2a
0 13ya

Answers

Since there the same variable together just add the number
13ay is your answer
Sorry for who ever that annoying person is who uploaded those disturbing pictures...
Hope this helps! Have a nice day :)

There is a line that includes the point (3, 3) and has a slope of 4. What is its equation in
slope-intercept form?

Answers

Answer:

         y = 4x - 9  

Step-by-step explanation:

The equation in point-slope form with slpope of m and including point (x₁,y₁) is:

y - y₁ = m(x - x₁)

m = 4

(3, 3)  ⇒  x₁ = 3,  y₁ = 3

So:

y - 3 = 4(x - 3)     ←   the point-slope form

y - 3 = 4x - 12         {add 3 to both sides}

y = 4x - 9           ←  the slope-intercept form

Right answers will get brainliest!

Answers

Answer:

42 = C (y ≤ 2)

43 = G (-x + 4x - 2)

44 = B (Its axis of symmetry is x = 14)

45 = H (x = 2)

HELP ASAP. please show work. the plane of a room in the picture. the scale is 2 inches: 6 feet. what is the actual length, width , and area?

Answers

Answer:

Actual Length: 27 feet - Actual Width: 15 feet - Actual Area: 405 feet

Step-by-step explanation:

First, to find the length, you have to divide 9 by 2 to get 4.5 and then multiply it by 6 to get the actual amount of feet. Then you divide 5 by 2 and multiply the quotient by 6 to get the actual width. Then, you take the actual length (27 feet) and multiply it by the actual width (15 feet) and you get an area of 405 feet

c) Describe the relationship between E and K. What is the measure of K?

Answers

Angles E and K are alternate exterior angles

A cylinder has a height of 17 millimeters and a radius of 6 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

1921.68mm^3

Step-by-step explanation:

Given data

H=17 millimeters

R=6 millimeters.

We know that the expression for the volume of cylinder is

V= πr^2h

substitute

V= 3.14*6^2*17

V= 3.14*36*17

V= 1921.68 mm^3

Hence the volume is 1921.68mm^3

Henry has a recipe that calls for 1 1/2 cups of sugar. He wants to use 1/2 of that amount. How much sugar will Henry use? *

Answers

Answer:

3/4

Step-by-step explanation:

Write the exponential expression
26 squared

Answers

Answer:

26²

Step-by-step explanation:

26 x 26 = 676

Find the total package price from each store and then calculate how much you"lol save if you purchase the less expensive package

Answers

Complete Question:

You're planning to buy a new computer, monitor, and printer for your office. You've received the following prices from two stores:

Store 1                                                        Store 2

Computer: 2,500                                     Computer: 2,350

Monitor: 595                                            Monitor: 435

Printer: 398                                              Printer: 349

Find the total package price from each store and then calculate how much you'll save if you purchase the less expensive package.

Answer:

[tex]Total = 3493[/tex] --- Store 1

[tex]Total = 3134[/tex] --- Store 2

[tex]Saved = 359[/tex]

Step-by-step explanation:

From store 1, the total cost is:

[tex]Total = 2500 + 595 + 398[/tex]

[tex]Total = 3493[/tex]

For store 2, the total cost is

[tex]Total = 2350 + 435 + 349[/tex]

[tex]Total = 3134[/tex]

By comparison: It is cheaper to buy from store 2

Because [tex]3134 < 3493[/tex]

Amount saved is calculated by subtracting the cheaper cost from the expensive cost:

i.e.

[tex]Saved = 3493 - 3134[/tex]

[tex]Saved = 359[/tex]

1. Michael and 6 friends went to the movies. There, they each bought movie tickets and a bag of popcorn to share among them all. Michael used the expression 7t + 4.50 to find the total cost. a) What is the variable and what does it represent in the expression? Explain.

Answers

Answer:

The variable is t

t represent the cost of movie tickets

Step-by-step explanation:

Given:

Total cost = 7t + 4.50

The variable is t

Michael + 6 friends = 7 people

4.50 represent the cost of popcorn

t represent the cost of movie tickets

For instance,

If the cost of a movie tickets is $2

Then,

t = 2

Total cost = 7t + 4.50

= 7(2) + 4.50

= 14 + 4.50

= 18.50

Total cost = $18.50

please help i will mark branliest

Answers

Answer:

The correct answer is D

Step-by-step explanation:

40% of 13 is 5.2 and they only raised 4 punishment that are 96 inches

A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?

Answers

Answer:

750

Step-by-step explanation:

Will give brainliest to the first person to answer!!
A. 3 units
B. 4 units
C. 6 units
D. 8 units

Answers

The answer would C.

HELP FASTLY WILL MARK BRAINLEST AND GIVE 5 STAR RATING! ANSWER FASTLY PLEASEEE!
[Image: Coordinate plane with points plotted at ordered pairs Q (–4, 4), R (2, 4), S (5, –3), T (2, –3), and U (–4, –3)]

What is the area of polygon QRSTU? _______ square units?

Answers

I tried without a pic this seemed better
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