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2 years ago

What should be the first step in adding these equation to eliminate y 12x - 2y = -1 + 4x + 6y =-4

Mathematics

1 answer:

barxatty [35]2 years ago

6 0

Answer:

See below

Step-by-step explanation:

Assumed you need to solve the system:

12x - 2y = - 1
4x + 6y = - 4

In order to solve this by elimination, triple the first equation and add the second one.

It will make the coefficients of y same with opposite signs:

-6y and 6y

When added together these cancel, leaving x as the only variable.

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Find the length of the arc of the circular helix with vector equation r(t) = 2 cos t i + 2 sin t j + tk from the point (2, 0, 0)

USPshnik [31]

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath+t\,\vec k$

$\implies\vec r'(t)=-2\sin t\,\vec\imath+2\cos t\,\vec\jmath+\vec k$

$\implies\|\vec r'(t)\|=\sqrt{(-2\sin t)^2+(2\cos t)^2+1^2}=\sqrt5$

Then the length of the arc is

$\displaystyle\int_0^{2\pi}\|\vec r'(t)\|\,\mathrm dt=\sqrt5\int_0^{2\pi}\mathrm dt=2\sqrt5\,\pi$

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3 years ago

Which ordered pair in the form (x, y) is a solution of this equation?

laiz [17]

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 not equal

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 not equal

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 equal

6 0

2 years ago

Given a battery rated at 350 ampere-hours how many hours will the battery be able to provide 7 amperes

coldgirl [10]

From the division computed, it should be noted that the number of hours that the battery will be able to provide 7 amperes will be 50 hours.

The information given is about the division of numbers. It was stated that the battery is rated at 350 ampere-hours.

The number of hours that it will be able to provide 7 amperes will be:

= 350 / 7

= 50 hours.

Learn more about division on:

brainly.com/question/24834472

7 0

2 years ago

Express the function graphed on the axes below as a piecewise function.

N76 [4]

Answer:

f(x) =

if x ≤ -3, -2 + 1

if x > 1, 2x - 8

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2 years ago

Type a digit that makes this statement true. 5,072, 00 is divisible by 8.

lina2011 [118]

The divisibility rule for 8 is that the last three digits have to be divisible by 8.

The third digit of 5072_00(from the right) could be 2, 4, 6, 8, or 0, because 200, 400, 600, 800, and 0 are divisible by 8.

Pls give brainliest.

6 0

2 years ago