Dos personas halan de un cuerpo de 20Kg con fuerzas de 100N y 200N. calcular la aceleración de la masa si: A)las fuerzas se ejercen horizontalmente en el mismo sentido. B)las fuerzas actúan horizontalmente en sentido contrario. c)en que sentido deben actuar las fuerzas para que la aceleración sea máxima y mínima.​

Step-by-step explanation:

option C is the correct answer of this question.

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Answer:

its b

Step-by-step explanation:

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Explanation:

Since x and y are in a proportional relationship, this means that y = kx. This is a direct variation equation.

k is the proportionality constant

To find k, we'll use any nonzero x and y pairing. Let's say we use the second row with x = -3 and y = 1

This leads to

y = kx

y/x = k

k = y/x

k = 1/(-3)

k = -1/3

Or we could use the third row to get

k = y/x

k = 2/(-6)

k = (1*2)/(-3*2)

k = -1/3

We get the same value of k for that row as well. I'll let you check the other rows. You cannot use the first row because dividing by zero is not allowed.

Since k = -1/3, this means y = kx updates to y = (-1/3)x which matches with choice A. So effectively, whatever the x input is, we multiply that by -1/3 to get the y output.

Multiplying by -1/3 is the same as dividing by -3. This means that y = (-1/3)x is the same as y = -x/3

Answer:

Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.

Step-by-step explanation:

Slope Formula: (y2 - y1)/(x2 - x1)

Function 1: m = -2 - (-12) / 1 - 3

m = 10 / -2

m = 5 / -1

m = -5

Function 2: m = 3/1

m = 3

Answer:

p = 4

Step-by-step explanation:

Answer:

p=4

Step-by-step explanation:

combine like terms

-6p=-24

divide

p=4

Answer:

Step-by-step explanation:

1. Area of the composite figure = Area of the sector + Area of rectangle

Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]

From the figure,

θ = 30, and r = 65

Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65

                        = 1 1065.55[tex]m^{2}[/tex]

Area of rectangle = length x width

                        = 65 x 4

                       = 260 [tex]m^{2}[/tex]

Area of the composite figure = 1 1065.55 + 260

                                                  = 11325.55

Area of the composite figure is 11326 [tex]m^{2}[/tex].

2.

Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².

A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.

[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]

The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.

The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.

[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]

                                                        [tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]

Thus, the area of the sector of the circle is 7.9194 m².

The area of the reactangle whose length is 5.5 inches while the width is 4 m.

[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]

                                 [tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]

Thus, the area of the rectangle is 22 m².

Now, the total area of the composite figure can be written as,

Area of the composite figure = Area of the sector of circle+Area of rectangle

Area of the composite figure = 7.9194 +22 = 29.9194 m²

Hence, the area of the composite figure is 29.9194 m².

Learn more about Sector of Circle:

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Answer:

7

Step-by-step explanation:

its 7

Answer:

slope Formula = y^2-y^1/x^2+x^1

Step-by-step explanation:

now,

[tex]10 - 3 \div 6 - 5 [/tex]

[tex]7 \div 1[/tex]

[tex] = 7[/tex]

Step-by-step explanation:

hbbuijiiiiiiidontttttknowwwwsorryyyyyyyyyyyy

Answer:

x = 10

[tex] m\angle DCE=55\degree [/tex]

Step-by-step explanation:

Since, CE bisects angle DCF, therefore:

[tex] m\angle ECF= m\angle DCE[/tex]

[tex] 6x-5=4x + 15 [/tex]

[tex] 6x-4x=5 + 15 [/tex]

[tex] 2x=20 [/tex]

[tex] x=\frac{20}{2} [/tex]

[tex] x=10[/tex]

[tex] m\angle DCE=(4x+15)\degree [/tex]

[tex] m\angle DCE=(4\times 10+15)\degree [/tex]

[tex] m\angle DCE=(40+15)\degree [/tex]

[tex] m\angle DCE=55\degree [/tex]

Answer

This question has multiple answers to narrow it down to one we need to know how old is Maria.

Step-by-step explanation:

Answer:

A) x = 5 or x = 6

B) x = 0.298 or 6.702

C) x = 3

D) x = ±1

Step-by-step explanation:

A) Values of x for which;

x² − 11x + 31 = 1

x² - 11x + 30 = 0

Using quadratic formula, we have;

x = 5 and x = 6

B) Values of x for which;

x² − 5x − 3 = 2x − 5

x² − 5x - 2x - 3 + 5 = 0

x² - 7x + 2 = 0

Using quadratic formula, we have;

x = 0.298 or 6.702

C) Values of x for which;

7x + 1 = 3x² − 2x + 1

3x² - 2x - 7x + 1 - 1 = 0

3x² - 9x = 0

3x² = 9x

Divide both sides by 3x to get;

x = 3

D) Values of x for which;

−2x² + 5x + 6 = 4x² + 5x

Rearranging, we have;

4x² + 2x² + 5x - 5x - 6 = 0

6x² - 6 = 0

x² = 6/6

x² = 1

x = √1

x = ±1

The values of [tex]x[/tex] for the given situations would be as follows:

A). [tex]x = 5[/tex] or [tex]x = 6[/tex].

B). [tex]x = 0.298[/tex] or [tex]6.702[/tex]

C). [tex]x = 3[/tex]

D). [tex]x =[/tex] ±[tex]1[/tex]

a). [tex]x^2 - 11x + 31 = 1[/tex]

⇒ [tex]x^2 - 11x + 30 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Considering

a = 1

b = -11

c = 30

⇒ {[tex]-(-11)[/tex] ± [tex]\sqrt{(-11)^2 -4 .1. 30 }[/tex]}[tex]/2.1[/tex]

Now,

[tex]x =[/tex] ([tex]11[/tex] ± [tex]1)/2[/tex]

Thus, the values for which the given trinomial would be equivalent to 1 would be:

∵ [tex]x = 5[/tex] and [tex]x = 6[/tex]

b). [tex]x^2 - 5x - 3 = 2x - 5[/tex]

⇒ [tex]x^2 - 5x - 2x - 3 + 5 = 0[/tex]

⇒ [tex]x^2 - 7x + 2 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Therefore, the values of polynomials [tex]x^2 - 5x - 3 = 2x - 5[/tex] when:

∵ [tex]x = 0.298[/tex] or [tex]x = 6.702[/tex]

c). [tex]7x + 1 = 3x^2 - 2x + 1[/tex]

⇒ [tex]3x^2 - 2x - 7x + 1 - 1 = 0[/tex]

⇒ [tex]3x^2 - 9x = 0[/tex]

⇒ [tex]3x^2 = 9x[/tex]

by dividing both the sides by [tex]3x[/tex] to receive;

Hence, the binomial and trinomial [tex]7x + 1 = 3x^2 - 2x + 1[/tex] when:

∵ [tex]x = 3[/tex]

d). [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex]

by arranging them again, we get;

[tex]4x^2 + 2x^2 + 5x - 5x - 6 = 0[/tex]

⇒ [tex]6x^2 - 6 = 0[/tex]

⇒ [tex]x^2 = 6/6[/tex]

The trinomial and binomial [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex] would be when:

∵  [tex]x =[/tex] ±[tex]1[/tex]

Learn more about "Binomial" here:

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Answer:

line will go through 1 on the y-axis and -1.5 on the x-axis

Answer:

the 3rd one.

Step-by-step explanation:

Option D is correct, Aiku has a total of 4.12 meters of rope in all.

Two or more expressions with an Equal sign is called as Equation.

To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.

The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).

The length of the second rope is 367 centimeters, which is equal to 3.67 meters.

Adding these two lengths together, we get:

0.45 meters + 3.67 meters = 4.12 meters

Therefore, Aiku has a total of 4.12 meters of rope in all.

To learn more on Equation:

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Answer:

225 ft^2

Step-by-step explanation:

From what we have in the question, we have 60 ft of fencing

To maximize the area, we will need to have a square

For a square, the length of all sides are equal

Let us call one of the sides s

Thus, from the perimeter of the square;

4s = 60

s = 60/4

s = 15 ft

The area is thus, the product of the side length of the square

15 * 15 = 225 ft^2

Answer:

the square root of 169 is 13 then ×2

26

I hope I am correct mate

enjoy your day

#Captainpower

Answer:

20

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Answer:

Well t find the area of a triangle, you need to multiple Base x height. That gives you 43.56. Now you divide by 2. So the end product will give you 21.78. Those same rules apply to every time you are finding the area of a triangle.

Step-by-step explanation:

Answer: A

Step-by-step explanation: 7.8 x 4.4= 34.32 x .5= 17.16 = A

Answer:

-5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-7)/(6-2)

m=-10/4

simplify

m=-5/2

Answer:

?

Step-by-step explanation:

Answer:n=-17

Step-by-step explanation:

Answer:

$1125

Step-by-step explanation:

you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.

Answer:

10-6=4

Step-by-step explanation:

Answer:

A) 8

Step-by-step explanation:

There are two ways you can solve this:

Pythagorean Theorem:

The Pythagorean Theorem states: [tex]a^{2} +b^{2} =c^{2}[/tex] and [tex]c^{2} -a^{2} =b^{2}[/tex] or [tex]c^{2} -b^{2} =a^{2}[/tex]. Sides a and b represent the legs of the right triangle. The side length c represents the hypotenuse. So, we need to find one of the legs (b) of the smaller triangle. To do this, we can use the equation:

Division/Proportion:

Line DH has two measures: 3 and 6. The total length of the line is 9. This means that triangle DHM has a side length of 9 compared to triangle FHK's side length of 6. Turn this into the ratio 9:6. Now divide 9/6 to get 1.5. This means that the larger triangle (DHM) is 1.5 times larger than the smaller triangle (FHK). To solve for side length b, divide 12/1.5 to get 8.

Note:

Hope it helps!

Answer:

Please refer the below attachments.

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Thank you

Answer: pretty sure it is linear

Step-by-step explanation:

Answer:

The sale price of the vehicle is $36885

Step-by-step explanation:

One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be

25/100 × 49180 = 0.25 × 49180 = $12295.

The sale price of the vehicle would be

49180 - 12295 = $36885

Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

Answer:

y = 0.75

Step-by-step explanation:

(4y + 1) = 4

4y + 1 = 4

4y + 1 - 1 = 4 - 1

4y = 3

4y ÷ 4 = 3 ÷ 4

y = 0.75