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Shalnov [3]
2 years ago
5

Can someone please help it’s very important

Mathematics
1 answer:
densk [106]2 years ago
5 0

Answer:

Step-by-step explanation:

RS is congruent to RV because of SSA or side side angle. RT is congruent to RT is a given. Lines that are perpindicular have right angles which proves angle v=angle s at the same time

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How do you find the radius when given the volume and height? ​
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Step-by-step explanation:

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What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d
dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5, where x is the selling price of the product, measured in dollars per unit, is:

r = \frac{P(55)-P(50)}{55-50} (1)

Now we evaluate the function at each bound:

x = 50

P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5

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x = 55

P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5

P(55) = 9.125

Then, the average rate of change is:

r = \frac{9.125-11}{55-50}

r = -0.375

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0
2 years ago
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