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3 years ago

Solve |5x+30|=10x ......

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

$\implies |5x + 30| = 10x$

We can write it as ,

$\implies 5x + 30 = \pm 10x$

On simplyfing further,

$\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x$

On solving the above equation , we will get ,

$\implies \boxed{ x = 6,-2}$

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

Option A is correct .

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Pleas help me find the answer and show the work to this question

lions [1.4K]

Answer:

$Leg\ 1 = 8$

$Leg\ 2 = 15$

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

$Hyp^2 = Adj^2 + Opp^2$

In this case:

$17^2 = x^2 + (2x- 1)^2$

Open Bracket

$17^2 = x^2 + 4x^2- 2x-2x + 1$

$17^2 = 5x^2 - 4x + 1$

$289= 5x^2 - 4x + 1$

Collect Like Terms

$5x^2 - 4x + 1 - 289 = 0$

$5x^2 - 4x - 288 = 0$

Solving using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

So:

$x = 8$ or $x = -7.2$

Since, x can't be negative, then:

$x = 8$

One of the leg is:

$Leg\ 1 = x$

$Leg\ 1 = 8$

$Leg\ 2 = 2x - 1$

$Leg\ 2 = 2*8 - 1$

$Leg\ 2 = 16 - 1$

$Leg\ 2 = 15$

6 0

3 years ago

You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed?

Serggg [28]

Answer:

Step-by-step explanation:

The Elimination Method is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.

If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.
If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.

When multoplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).

So, option B is not allowed (it is not allowed to multiply only one part of equation)

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3 years ago

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3 years ago

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(CHALLENGE QUESTION FOR ALL OF YOU):

NARA [144]

Answer:

Euler's Identity

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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