What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1,-4) and D(-5, -4)?

Answers

Answer 1

[tex]\huge\underline\blue{✏ANSWER}[/tex]

(no answer found.)

(maybe can found on other apps?)

#BrainliestBunch

Answer 2

Answer:

12

Step-by-step explanation:

1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4

2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.

3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.

4) Having the triangle with the sides AB, BC, AC use the theorem of cos:

sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB

34-10-16= -8 sqrt 10*cosB

c0sB= (-1)/ sqrt10

5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.

6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.


Related Questions

What is the interquartile range of this data set? 1,5,12,14,29,45,48,61,72,84,96

Answers

Answer:

60

Step-by-step explanation:

Q1 = 12

Q3 = 72

the interquartile range = Q3-Q1 = 72-12 =60

what is the simplified form of this expression 3x+4+5x+3
1. 7x+8
2. 15x
3. 8x+7

Answers

Step-by-step explanation:

3x+5x+4+3

=8x+7

hope it helps

Answer:

6x+7

Step-by-step explanation:

x+4+5x+3

Combine like terms

x+5x   +4+4

6x+7

Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.

Answers

Answer:

The third exterior angle is [tex]103^o[/tex]

Step-by-step explanation:

Given

[tex]\theta = 158^o[/tex]

[tex]\alpha = 99^o[/tex]

Required

The third exterior angle [tex](\beta)[/tex]

The exterior angles of a triangle add up to 360 degrees.

So:

[tex]\theta + \alpha + \beta = 360^o[/tex]

Make [tex]\beta[/tex] the subject

[tex]\beta = 360^o - (\theta + \alpha)[/tex]

Substitute known values

[tex]\beta = 360^o - (158^o + 99^o)[/tex]

[tex]\beta = 103^o[/tex]

What is the area
Help quick pls

Answers

Answer:

22 cm

Step-by-step explanation:

just add

Answer:

50 +  [tex]5\sqrt{6}[/tex] =

62.24744871

Step-by-step explanation:

10* 5 = 50

triangle 5^2 + x^2 = 7^2

x = [tex]\sqrt{24 }[/tex]

area triangle = 1/2 * [tex]\sqrt{24 }[/tex] *5

[tex]\sqrt{24} = 2\sqrt{6}[/tex]

area triangle =  [tex]5\sqrt{6}[/tex]

[tex]x^4+2x^3-2x^2+2x-3=0\\[/tex]

Answers

Answer:

x=1

x=-3

Step-by-step explanation:

(x-1)(x^3 + 3x^2 +x +3) = 0

(x-1)( x+3)(x^2 +1)=0

Anyone Know The Answer???

Answers

Answer:

I think it is 2, downwards

Answer:

vertical shift of 2 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) = 9 | x + 1 | + 2

Represents a vertical shift of 2 units up of the parent function

find the missing side of triangle​

Answers

Perpendicular=P=21Base=B=?Hypotenuse=H=29

Using Pythagoras Theorem

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{H^2-P^2}[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{29^2-21^2}[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{841-441}[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{400}[/tex]

[tex]\\ \sf\longmapsto B=20[/tex]

Jenny asked 12 students how many courses they have taken so far at her college. Here is the list of answers.
16, 7, 21, 14, 9, 11, 22, 19, 17, 12, 5, 25
What is the percentage of these students who have taken fewer than 21 courses?

Answers

Answer: 75%

Step-by-step explanation:

Only 9 students have taken fewer than 21 courses

9/12 = 0.75 or 75%

find the interior angle sum for the following polygon.​

Answers

We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.

Here, number of sides (n) = 12

So, interior angle sum = (n − 2) × 180°

=> interior angle sum = (12 - 2) × 180°

=> interior angle sum = 10 × 180°

=> interior angle sum = 1800°

So, the interior angle sum of this polygon is 1800°.

Plz solve question 12

Answers

Answer: C

Step-by-step explanation:

To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.

[tex]\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.[/tex]

Let's add the equations together. This way, 3f+(-3f)=0

[tex]-4k=24[/tex]                   [divide both sides by -4]

[tex]k=-6[/tex]

Now that we know k, we can plug it into either equation to find f.

[tex]3f-2(-6)=10[/tex]        [multiply]

[tex]3f+12=10[/tex]             [subtract both sides by 12]

[tex]3f=-2[/tex]                    [divide both sides by 3]

[tex]f=-\frac{2}{3}[/tex]

Now that we have f and k, we know that C is the correct answer.

Help plz and thank you

Answers

Slope 2 because it is the co-efficient of t and y intercept is positive 10 or +10

Which equation relates the population (P) in millions to the time that has passed (T) if the growth rate is 4% per year and the starting
population is 10 million people?
(1) P = 10(0.96)^T
(2) P = 10(1.04)^T
(3) P = 10 + 10(0.04)^T
(4) P = 10(1.4)^T

Answers

Answer:

Step-by-step explanation:

The model for exponential growth/decay is

[tex]P(t)=a(b)^t[/tex] where a is the initial population and b is the growth/decay rate. Filling in the info you were given:

[tex]P(t)=10(1.04)^t[/tex]

Because this is a growth rate, we have 100% of the population and that population is growing by 4%, which is .04 in decimal form. If the population is not declining, we are adding to the 100% of the population we already have. That's why the growth rate is 1.04.

.96 means that the population is declining at 4% each year; and 1.4 means that the population is growing at 140% instead of the 104% that it is.

Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no

Answers

Answer:

Option B, (39, -59, 43)

Answered by GAUTHMATH

Tatia, Mary, and Erica were partners in business. Tatia received twice as much of the profit as Erica received. Mary received 2/3 of the amount Tatia received. If the total profit was $52,000, how much did Mary recieve

Answers

Answer:

$16000

Step-by-step explanation:

let Amount Erica received be 'x'

Tatia received = 2x

Mary received = 2/3(2x) = 4x/3

x + 2x + 4/3(x) = 52000

3x + 4x/3 = 52000

(9x+4x)/3 = 52000

13x/3 = 52000

x = (52000 x 3) / 13

x = 4000 x 3

x = 12000

Mary Received = 4x/3 = 4(12000)/3 = 16000

Answer:

$16000

Step-by-step explanation:

erica would get -n

tatia gets -2n

Mary gets -2/3 of 2n

2n +( 2/3 of 2 n ) + n =$52000

2n + 4/3n+ n=$52000

3 4/3 n=$52000

13/3 n= $52000

n= $16000

Answer quick plsssssssssss thx

Answers

Answer:

I think Substitution

Step-by-step explanation:

Because x is already solved for in the second equation.

4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches

what is the answer? ​

Answers

Answer:

6 yards 4 feet 1 inch

Step-by-step explanation:

First, we have the equation:

4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches

Now, let's add each:

6 yards

3 feet

13 inches

But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:

6 yards

4 feet

1 inch

There you have it!

Happy learning!

--Applepi101

Answer:

7 yds  1 ft 1 inch

Step-by-step explanation:

 4 yards 2 feet 7 inches

+ 2 yards 1 foot 6 inches

------------------------------------------

 6 yards  3 feet  13 inches

13 inches is more than 12 inches (  =1  ft) so subtract 12 inches and add 1 ft

6 yards  3 feet  13 inches

             =1 ft      - 12 inches

-----------------------------------------

6 yds   4 ft    1 inches

4 ft is more than  3f which is 1 yd  ( subtract 3 ft and add 1 yd)

6 yds   4 ft    1 inches

+1 yd  - 3ft

------------------------

7 yds  1 ft 1 inch

For all of the Following use the function LaTeX: P\left(x\right)\:=\:\left(x+3\right)^2+2 . My original vertex is

Answers

Answer:

A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)

B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)

C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)

Step-by-step explanation:

The given function is P(x) = (x + 3)² + 2

The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)

By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)

A) A function f(x) translated α units UP gives

f(x) (translated α units UP) → f(x) + α

A translation of the function 3 units UP is given by adding 3 to the given function as follows;

Q(x) = P(x) + 3

∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5

Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)

B) A function f(x) translated b units RIGHT gives;

f(x) translated b units right → f(x - b)

∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;

P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2

R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)

C) A function translated α units DOWN and b units RIGHT is given as follows;

[tex]f(x) \ translated \ by\ \dbinom{b}{a} \rightarrow f(x - b) - a[/tex]

Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;

[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow P(x - 4) - 7 = S(x)[/tex]

S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5

[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow (x - 1)^2 - 5= S(x)[/tex]

S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)

Which ordered pair would form a proportional relationship with the point graphed below?

On a coordinate plane, point (60, negative 20) is plotted.
(–10, 30)
(30, –15)
(–30, 10)
(80, –30)

Answers

Answer: its not b or d that leaves a and c its

                                       A                                        A

Answer:

it might be c its def not a for i got it wrong when i chose a

Step-by-step explanation:

dont get mad if im wrong i.d.k if i am right or wrong so im gonna say c?

Write out the first five terms of the sequence.

an = n - 6

Answers

Answer:

-6, -5, -4, -3, -2

or

-5, -4, -3, -2, -1

depending on if N starts at 0 or 1

Step-by-step explanation:

If n starts at 0 then the first 5 terms are the following,

-6, -5, -4, -3, -2

If n starts at 1 then the first 5 terms are these,

-5, -4, -3, -2, -1

Usually starts from 0. In this case is :-6,-5,-4,-3,-2

Hasib earns 30 cents for every carrot he sells.
He earns an extra $3 for every 30 carrots he
sells. How many carrots must he sell in order to
earn $555?

Answers

Answer:

He must sell 1390 carrots

Step-by-step explanation:

30x + 300x/30 = 55500

40x = 55500

x = 1387.5

1387.5

multiply 30 by .3 to get $9 for 30 carrots

Then add $3 to this amount to get $12 dollars.

Divide 555 by 12 to get 46 R3.

Multiply 46 by 30 because its 46 bundles of 30 carrots

Then divide the 3 dollars by .3 for each carrot to get 10 carrots

1380+10 = 1390

Hasib must sell 1390 carrots in order to earn $555.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given information; Hasib earns 30 cents for every carrot he sells. He earns an extra $3 for every 30 carrots he sells.

So, the equation form;

30x + 300x/30 = 55500

40x = 55500

x = 1387.5

Now, multiply 30 by .3 to get $9 for 30 carrots

Then add $3 + 9 = $12 dollars.

Now, Divide 555/ 12 = 46 R3.

46 x 30  = 1380  because its 46 bundles of 30 carrots

For each carrot to get 10 carrots

1380 + 10 = 1390

Therefore, Hasib must sell 1390 carrots in order to earn $555.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Instructions: Find the missing side. Round your answer to the nearest
tenth.
16
51°
х
II

Answers

Answer:

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x              Multiply both sides by x

x * Tan(51) = 16            Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.96

Answer:

12.9

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x            

Multiply both sides by x

x * Tan(51) = 16        

Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.9

Find the sin P rounded to the nearest hundredth

Answers

Answer:

SOH-CAH-TOA

[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°

SOH = SIN = OPP/HYP

SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]

Step-by-step explanation:

A​ hot air balloon is flying at an altitude of 2926 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 25°
25
°
​, how far is the house from the​ pilot? Round to the nearest tenth.(1 point)


Choices:

The house is 1236.6 feet from the pilot.

The house is 6274.8 feet from the pilot.

The house is 3228.5 feet from the pilot.

The house is 6923.5 feet from the pilot.

Answers

Answer:

The house is 6274.8 feet from the pilot.

Step-by-step explanation:


Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.

Answers

Answer:

10 and 4

Step-by-step explanation:

The first term is a, common difference is d.

The 6th term:

a + 5d = 30

The 12th term:

a + 11d = 54

Solve the system by elimination:

11d - 5d = 54 - 306d = 24d = 4

Find a:

a + 5*4 = 30a + 20 = 30a = 10

Answer:

Given :-

6th term = 30

12th term = 54

To Find :-

First term

Common difference

Solution :-

We know that

[tex] \sf \: a_{n} = a + (n - 1)d[/tex]

For 6th term

[tex] \sf \: 30 = a + (6 - 1)d[/tex]

[tex] \sf \: 30 = a + 5d[/tex]

For 12th term

[tex]\sf \: a_{n} = a + (n - 1)d[/tex]

[tex] \sf \: 54 = a + (12 - 1)d[/tex]

[tex] \sf \: 54 = a + 11d[/tex]

On subtracting both

[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]

[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]

[tex] \sf \: 24 = 6d[/tex]

[tex] \sf \: \dfrac{24}{6} = d[/tex]

[tex] \sf \: 4 = d[/tex]

Now

Using 2

[tex] \sf \: 54 = a + 11d[/tex]

[tex] \sf \: 54 = a + 11(4)[/tex]

[tex] \sf \: 54 = a + 44[/tex]

[tex] \sf \: 54 - 44 = a[/tex]

[tex] \sf \: 10 = a[/tex]

Question 4 (Essay Worth 10 points)

(05.06 MC)

The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:

A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 7 at increments of 1, and the scale on the y-axis is shown from 0 to 24 at increments of 4. The graph has 3 straight lines. The first line is labeled A and joins ordered pairs 0, 0 and 2, 16. The second line is labeled B and joins ordered pairs 2, 16 and 4, 16. The third line is labeled C and joins ordered pairs 4, 16 and 6, 0.

Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)

Source
StylesFormat

Answers

The motion of the ant is a nonlinear graph;

It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.

THE TYPE OF GRAPH

The graph has 3 different straight lines, all of which point to different directions.

For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.

THE SEGMENTS OF THE GRAPH

The increasing segment of the graph is the segment that points in the upward direction.

In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.

The decreasing segment of the graph is the segment that points in the downward direction.

In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.

The constant segment of the graph is the segment that is represented by a horizontal line

In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.

THE MOTION OF THE GRAPH

The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.

Learn more about graphs at:

https://brainly.com/question/9348683

Answer: got 100% on test

Step-by-step explanation:

 Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.

Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.

Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.

10x2y+40x2−2xy3−8xy2 factories this expression​

Answers

Answer:

2(10y + 40 -11xy)

Step-by-step explanation:

First, multiply the expression

20y +80 -6xy - 16xy

Then collect like terms

20y + 80- 22xy

And then lastly factories the expression

2( 10y + 40- 11xy )

What is the value of y for the parallelogram shown? A. 38 B. 60 C. 22 D. 66​

Answers

Answer:

c.22

Step-by-step explanation:

C=66

22*3=66

what is 5 divided by 20.9

Answers

Answer:

0.23923444976

All points of the step function f(x) are graphed.

On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?

{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}

Answers

Answer:

A. {x| –4 < x ≤ 4}

Step-by-step explanation:

Answer:

{x| –4 < x ≤ 4}

Step-by-step explanation:

Edge Quiz 2023

Solve the equation for all values of x.
-x(x – 8)(x^2+25) = 0

Answers

Answer:

0, 8, 5i, -51

Step-by-step explanation:

Just calculate algebraically. Let me know if you need a more elaborate explanation.

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Trevor felt very bad/badly about giving me the wrong book.8. My sister is very talented but she draws bad/badly.9. For the last few years, she had slept bad/badly.10. The paint brush spread the paint well/good.11. Since taking the vitamins, my friend says she feels well/good.12. My Uncle Maxs homemade spaghetti sauces tastes well/good.Questions 13-15: Read the following sentences and rewrite each one to be correct.13. Mr. Juarez gave me the most simplest directions to the recreation center. 14. My mother is the older of her three sisters. 15. I am more outgoing than any student in my class. What is the difference between these two linear equations? Y=3x - y=-3x A decreasing inventory turnover ratio indicates:_______a. a longer time span between the purchase and sale of inventory. b. a shorter time span between the purchase and sale of inventory. c. a longer time span between the ordering and receiving of inventory. d. a shorter time span between the ordering and receiving of inventory. 1. (02.01)Solve -4(x + 10) - 6 = -3(x - 2). (1 point)-40-46-5252 Classical economists believed that: _________a) budget deficits and surpluses were necessary for the control of economic fluctuations. b) market economies are inherently unstable because of fluctuating aggregate demand. c) market economies suffer prolonged periods of recessions and depressions. d) price flexibility automatically directs market economies to full employment 1. Which city was the center of Arabian religion?2. Which monotheistic religions may have influenced Muhammad?3. What is the name of the cave where Muhammad went to pray?4 Whom did Muhammad see in a vision.5 What did the angel tell him to do?6 What do Muslims call the night when Muhammad had this experience?7. How do Muslims commemorate it today?8. Describe where and how the Circling takes place9. Describe where and how the Running takes place.10. What story lies behind the ritual jogging between Mounts As-Safa and Al- Marwa?11. Explain the significance of the Zamzam Well. Surface Area of PyramidsInstructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary. Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6? A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1. State TRUE or FALSE. 1. We use muscular force to lift a bucket of water. 2. A bow uses mechanical force of the bow string to shoot an arrow. 3. The force of friction enables us to walk on earth. 4. Plants use solar energy to make their food. 5. The energy stored inside the earth is called atomic energy a. What is the physical quantity in which force is divided by area called? Any guess 50 pts + brainlist if correct math can you guys help me PLS