i need to find the value of each variable in the following parallelograms

(a) The shorted distance between point A and point B is 29.1.

(b) The x-coordinate of the point where the ladybug intersected the x-axis is (-1, 12).

The shorted distance between point A and point B is straight line, which is calculated as follows;

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2} \\\\d = \sqrt{(12--1)^2+ (10--16)^2} \\\\d = 29.1 \ unit[/tex]

The x-coordinate of the point where the ladybug intersected the x-axis is determined as;

(Ax, Ay), (Bx, By)

= (Ax, Bx)

= (-1, 12)

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Explanation:

If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.

We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3

Now plug in x = 1 and y = 6 from the point (1,6)

y=ax^3+bx^2+3

6=a(1)^3+b(1)^2+3

6 = a+b + 3

a+b = 6-3

a+b = 3

Now plug in the coordinates of (-1,4) which are x = -1 and y = 4

y=ax^3+bx^2+3

4=a(-1)^3+b(-1)^2+3

4 = -a + b + 3

-a+b = 4-3

-a+b = 1

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

Here are the two equations we're interested in

a+b = 3

-a+b = 1

We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4

We're left with 2b = 4 and it solves to b = 2

Use any of the equations involving 'a' and b to determine that a = 1

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

To summarize we have

a = 1

b = 2

c = 3

This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.

Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.

Answer:

the answer is 60

Step-by-step explanation:

64 rounded. is 60

Answer: 60 is the mean

Step-by-step explanation: 64 + 60 + 59 + 60 + 58 + 56 + 64 + 57 + 63 is 541, divide that by 9 is 60.1111111111, nearest whole number is 60

Answer:

only C is a function cause a function has only 1 same value.

Answer:

g p + g q − g r + h p + h q − h r

Step-by-step explanation:

This is the correct simplified form of ( g + h ) ( p + q − r )

Hope this helped!

Answer:

gp + gq - gr + hp + hq - hr

Step-by-step explanation:

Expression:

(g + h)(p + q − r)

Choices:

gp + gq − gr + hp + hq − hr

gp + gq + gr + hp + hq + hr

gp + hq − r

Solution:

Multiply each term of g + h by each term of p + q - r.

You get:

gp + gq - gr + hp + hq - hr

Answer:

See below ~

Step-by-step explanation:

Arranging the data in increasing order

Mean

Median

Range

Answer:

Mean: 39

Median: 32.5

Range: 62

Step-by-step explanation:

Looking closely,

when x1=0, y1= 3

Also, when x2= 3, y2= 1

The slope therefore is,

(y2-y1)/(x2-x1)

= 1-3/2-0

= -2/2

Slope = -1

[tex]w = 12.8 \: ft[/tex]

[tex]l = 4 \: ft[/tex]

[tex]v = 711.68 \: {ft}^{3} [/tex]

The height of the given rectangular prism.

[tex]v = lbh[/tex]

[tex]12.8 \times 4 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]51.2 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]h = \frac{711.68}{51.2} [/tex]

[tex]h = 13.9 \: ft[/tex]

Therefore, the height of the given rectangular prism is 13.9 feets.

Increase in greedyness and lazyness ,less attraction towards working.

See

Suppose he gets $2 commission per sale.

The discussion is shown below:

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.

When an employee is paid on a commission basis or on a piece rate basis, their job efficiency goes up, which also boosts productivity in the workplace.

But one of the drawbacks of this type of payment for the employee is that he won't be able to earn anything if he doesn't work up to the specified objective or if he doesn't work at all.

There are therefore equally as many benefits and drawbacks for each kind of payment.

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Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 2, x = 3

Step-by-step explanation:

[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Step\;by\;step\;solving}:[/tex]

[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]

[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]

[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]

[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]

[tex]\mathrm{Then, substitute\:}y=3[/tex]

[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]

[tex]\mathrm{Solving:\;x=2}[/tex]

[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,x=3[/tex]

~Kavinsky~

Answer:

B. Circumference  = 10r feet, area = 25r feet

Step-by-step explanation:

C = [tex]\pi[/tex] x 10

C = 10n

A = n x 5x5

A = 25n

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

This is the total distance of all the sides in a shape. Due to this, the general formula is:

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

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Answer:

[tex]U_{n+1}=U_{n}-4[/tex]

Next term = -16

Step-by-step explanation:

[tex]\text{let} \ \left( U_{n}\right) \text{be the sequence which we are looking for}[/tex]

0-4 = -4

(-4)-0 = -4

(-8)-(-4) = -4

(-12)-(-8) = -4

It’s clear that Un is an arithmetic sequence of common difference r = -4

Then

[tex]U_{n+1}=U_{n}-4[/tex]

Next term :

[tex]U_{6}=U_{5}-4 = -12-4=-16[/tex]

The theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The sample will be ={1,2,3,4,5,6,7,8,9}=9

favourable outcomes={1,3,5,7,9,}=5

The theoretical probability of spinning and odd number = [tex]\dfrac{5}{9}[/tex]

As she spends the spinner 12 times

The experimental probability = [tex]\dfrac{5}{12}[/tex]

Hence the theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

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Answer:

The theoretical probability of spinning an odd number is equal to 5/9 The experimental probability of spinning an odd number is equal to 2/3. Therefore, the theoretical probability of spinning an odd number is less. than the experimental probability of spinning an odd number.

if you could give me brainliest i would greatly appreciate it.

[tex]\\ \rm\Rrightarrow |1/3(2^3-10^2/5)|=|1/3(8-20)|=|1/3(-12)|=4[/tex]

[tex]\\ \rm\Rrightarrow |-(1/6)^3|=(1/6)^3=1/216[/tex]

[tex]\\ \rm\Rrightarrow |6^3-7^3|=|216-343|=127[/tex]

[tex]\\ \rm\Rrightarrow |9^2+(-9)^3|=|81-729|=648[/tex]

Answer:

8)  1/216

13)  127

14)  648

15)  4

Step-by-step explanation:

[tex]\large \begin{aligned}\displaystyle \left|-\left(\frac{1}{6}\right)^3\right| & = \left|-\left(\frac{1^3}{6^3}\right)\right|\\\\& = \left|-\frac{1}{216}\right|\\\\& = \frac{1}{216}\end{aligned}[/tex]

[tex]\large \begin{aligned}\displaystyle \left|6^3-7^3\right| & = \left|216-343\\ & = \left|-127\right|\\ & = 127\end{aligned}[/tex]

[tex]\large \begin{aligned}\displaystyle \left|9^2+(-9)^3\right| & = \left|81+(-729)\right|\\& = \left|81-729\right|\\& = \left|-648\right|\\& = 648\end{aligned}[/tex]

[tex]\large \begin{aligned}\displaystyle \left|\frac{1}{3}\left(2^3-\frac{10^2}{5}\right)\right| & = \left|\frac{1}{3}\left(8-\frac{100}{5}\right)\right|\\\\& = \left|\frac{1}{3}\left(8-20\right)\right|\\\\& = \left|\frac{1}{3}\left(-12\right)\right|\\\\& = \left|\frac{-12}{3}\right|\\\\& = \left|-4\right|\\\\& = 4\\\end{aligned}[/tex]

The volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

From the question, we are to determine the volume of the cone

The volume of a cone can be calculated by using the formula,

V = 1/3 πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

h = 2.5 in

r = 5 in

and π = 3.14

Putting the values into the formula, we get

V = 1/3 × 3.14 × 5² × 2.5

V = 65.42 in³

Hence, the volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

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That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The value of x is 10.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

The angle of a rectangle is always 90°, Also, the sum of the ∠CFD and ∠DFE is ∠CFE which is an angle of the rectangle CDEF. Therefore, we can write,

∠CFD + ∠DFE = 90°

6x + 3x = 90°

9x = 90°

x = 10

Hence, the value of x is 10.

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Answer:

Range: ( − ∞ , ∞ ) , { y | y ∈ R }

Step-by-step explanation:

Slope: 4

y-intercept: (0,0)

 X          Y

 0          0

  1          4

Answer:

all real number

Step-by-step explanation:

Answer:

should be 6cm

Step-by-step explanation:

if you are looking at a cube

Answer:

6 cm 2

Step-by-step explanation:

Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )

Answer:

The answer you are looking for is 35. May I have brainliest?

Step-by-step explanation: K12 Quiz

Answer:

150

Step-by-step explanation: because you divide it

Answer:

8 & 1/3 yards equals 25 feet

Hey there!

284 * 45^3

= 284 * 45 * 45 * 45

= 284 * 2,025 * 45

= 284 * 91,125

= 25,879,500

Therefore, your answer is:

25,879,500

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The answer is D. The roots are just where the line crosses the y axis.

The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.

Then all the angles of the trapezium will be

Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have

Then the value of x will be

∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°

                        3x + 2x + 2x + 3x = 180°

                                              10x = 180°

                                                  x = 18°

Then the measure of all angles will be

∠ABC = ∠BAD = 3x = 3 × 18 = 54°

∠BCD = ∠ADC = 2x = 2 × 18 = 36°

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Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.

Answer:

42.875

Step-by-step explanation:

V=BxHxW

3 1/2 =3.5

3.5 x 3.5 x 3.5

=42.875 cubic in.

Answer:

option: C is correct.

Step-by-step explanation:

since, we are given a parent function f(x) as: f(x)=x.

We are asked to find what  change will occur in the function when the parent function f(x) is replaced by f(9x).

let g(x) be the function formed by replacing f(x) with f(9x) i.e.

g(x)=f(9x)=9x.

clearly the slope of the function g(x)=f(9x) is 9.  ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).

whereas the slope of the function f(x)=x is 1.

Hence there is an increment of slope by a factor of 9.

Hence, option C is correct.