please help i don’t understand

Given :

Two equations :

y = t³

x = t + 5

To Find :

Rectangular equation formed by eliminating the parameter.

Solution :

Putting value of t from second equation to first equation.

We get :

[tex]y = ( x-5)^3[/tex]

Also, t from equation first :

[tex]t = \sqrt[3]{y}[/tex]

Putting the value of t and equation two, we get :

[tex]x = \sqrt[3]{y}+5[/tex]

Therefore, rectangular equation is formed by eliminating the parameter is :

y = ( x - 5)³ and x = ∛y + 5 .

The rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

The options are:

The parametric equations are:

y = t³

x = t + 5

From the second equation that is x = t + 5

Take the value of t and plug in the equation y = t³:

t = x - 5

y = (x - 5)³

The above equation represents a cubic equation.

Thus, the rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

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During the 1920s, buying stock on credit was called buying on margin or margin trading. Hence, option C is correct.

An act of buying shares or securities of a company without the actual need of having funds in the account, is known as margin trading. A credit facility is granted by the broker to the trader to do margin trading.

In case the trader generates a profit while buying on margin, he or she would get only an amount of the profit made by him or her over such trade. In case of losses, the balance amount became the liability of the trader.

Hence, option C states about margin trading.

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x=17

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Given angles

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]

Answer:

C

Step-by-step explanation:

(280 - 8)/2 = Athletic booster tickets

(280-8)/2 = (272)/2 = 136

Answer:

I don't really know but I think it is.

Step-by-step explanation:

Answer:

2 awnser is the right on

Answer:

the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.

Step-by-step explanation:

Answer:

here are 3 times as many boys as girls in a room. If 4 boys and four girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally?

8 girls

24 boys

There were 24 boys and 8 girls in the room originally.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Given that there are 3 times as many boys as girls in a room.

If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room.

Let's assume the number of boys would be b

And the number of girls would be g

According to the given condition, the required solution would be as:

b = 3g               ....(i)

b - 4 = 5 (g - 4) ....(ii)

Substitute the value of b = 3g in equation (ii), and solve for g

3g - 4 = 5 (g - 4)

3g - 4 = 5g - 20

5g - 3g = 20 - 4

2g = 16

g = 8

Substitute the value of g = 8 in equation (i), and solve for b

b = 3 × 8

b = 24

Hence, there are 24 boys and 8 girls in the room.

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Answer:

I think C would be 3.25

Step-by-step explanation:

Because if you divide 65/20+3.25 sorry if i'm wrong.

Answer:

The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb

The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528

22a + 22b + 22c = 528

a + b + c = 528/22

a + b + c = 24      The only option of three different digits with the sum of 24 is 7, 8 and 9.

Hope this helps, stay safe, and merry christmas!

Answer:

C = 17

Explanation:

C is the square root of a^2 + b^2

8^2 + 15^2

64 + 225

289

the square root of 289 is 17

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

good luck, have a good day, can i get brainliest

GE = 6 and BG = 3

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Given that, G is the centroid and BE = 9

The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,

BG = 1/3*BE

BG = 1/3*9 = 3

And,

GE = 2/3*9 = 6

Hence, GE = 6 and BG = 3

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Answer:

He would expect to see the blue marble 40 times. Hope this helps!

Step-by-step explanation:

Answer:

40 blue marbles

Step-by-step explanation:

You would find the probability of a blue marble

2 blue/ ( 5+3+2) total

2 divided by 10 is 1/5

Then, you multiply 200 and 1/5 together, which would equal 40.

Quinn should expect to pick 40 blue marbles.

Answer:

pretty sure its B the degree is the biggest number of exonent and the leading coefficient is the number in front of the x that is the biggest. u can look up the graph for end behavior.

Step-by-step explanation:

Step-by-step explanation:

4x + 8 + x - 2 - 3x

= 2x + 6

= 2(5) + 6

= 16.

Answer:

4*5 + 8 + 5 - 2 - 3*5 = 20 + 8 + 5 - 2 - 15 = 28 + 5 - 2 - 15 = 33 - 2 - 15 = 31 - 15 = 16

Answer:

the pic has the answer

Explanation:

The relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

"Two or more angles are complementary if their sum is 90° "

For given question,

∠A and ∠B are complementary angles.

⇒ ∠A + ∠B = 180°

For ∠A = 15° the measure of ∠B is 75°

For ∠A = 30° the measure of ∠B is 60°

For ∠A = 45° the measure of ∠B is 45°

For ∠A = 60° the measure of ∠B is 30°

For ∠A = 75° the measure of ∠B is 15°

So, the sine and cosine of ∠A and ∠B would be,

∠A      ∠B      sin(A)    cos(A)     sin(B)     cos(B)

15°       75°     0.25       0.97       0.97       0.26

30°      60°     0.5         0.87       0.87        0.5

45°      45°     0.71         0.71        0.71        0.71

60°      30°     0.87        0.5         0.5         0.87

75°      15°      0.97        0.26       0.26       0.97

From above records, we can observe that  sin(A) =  cos(B) and

sin(B) = cos(A)

Therefore, the relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

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If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Therefore, it is true.

Answer:

There is no solution, y-int of one line is positive

Step-by-step explanation:

There is no solution because there are no shared points between both lines, and the y intercept of the blue line is positive, because it is above the x-axis.

Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the  volume of the cubes.

Volume of small cube, [tex]V_1=(6y)^3=216y^3[/tex]

Volume of lager cube,

[tex]V_2=(4x^2)^3\\\\=64x^6[/tex]

Difference in the volume of the cubes,

[tex]\Delta V=V_2-V_1\\\\=64x^6-216y^3[/tex]

We can simplify the above expression :

[tex]\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)[/tex]

So, the difference in the volumes of the cubes is [tex](4x^2-6y)(16x^4+24x^2y+36y^2)[/tex].

Answer:

see image below

Step-by-step explanation:

Answer:

the next fraction is 12/15.

Step-by-step explanation:

if you convert each fraction to have a denominator of 15, the numerators will be 4, 6, 8, and 10. the only number that could be next in the sequence is 12

Answer:

I tried but I kept getting weird numbers

Step-by-step explanation:

Answer:

The answer is 2x + 8

Step-by-step explanation:

Answer:9342

Step-by-step explanation:

I am smart UwU

Answer:

3y - 6

Step-by-step explanation:

You basically want to first distribute then combine like terms

3 ( y - 6 + 4 )

Do PEMDAS

3*y + 3 * -6 + 3* 4

( This is the distributed part)

3y - 18 + 12

3y - 6

( This is the combing like terms)

Hope this helped!

Answer:

i cant see te pic that good

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

but i wish you luck

Answer:

First 0.1 miles: 32 seconds

Last 0.1 miles: 28 seconds

Step-by-step explanation:

The car traveled 0.2 mile in 60 seconds.

The last 0.05 miles were done in 12 seconds.

Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 =  48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s

At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.

In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds,  making a total of 16+12 = 28 seconds

Answer: 3.6

Step-by-step explanation:

18/5 simplified equals 3 3/5.

3/5 = 0.6

3 + 0.6 = 3.6

In conclusion, the answer is 3.6.

Hope this helps!