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3 years ago

What is the answer to 4|x-1|=12

Mathematics

1 answer:

STatiana [176]3 years ago

5 0

Answer:

(4,0) and (- 2,0): Answer

Step-by-step explanation:

Absolute value questions have two essential steps.

1. Solve the equation as it is written.

2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer

4*abs(x - 1) = 12 Divide by 4

abs(x - 1) = 12/4
abs(x - 1) = 3 Equate this to 3
x - 1 = 3 Add 1 to both sides
x - 1 + 1 = 3 + 1 Combine
x = 4

4*abs(x - 1) = - 12 Divide by 4

abs(x - 1) = - 12/4
abs(x - 1) = - 3
x - 1 = - 3 Add 1 to both sides
x - 1 + 1 = -3 + 1
x = - 2

So this has 2 answers

(4,0) and (- 2,0)

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timama [110]

ANSWER

$y = 3 \pm \sqrt{21}$

EXPLANATION

The quadratic equation is:

${y}^{2} - 6y - 12 = 0$

Group variable terms:

${y}^{2} - 6y = 12$

Add the square of half, the coefficient of y to both sides.

${y}^{2} - 6y + ( - 3) ^{2} = 12 + ( - 3) ^{2}$

${y}^{2} - 6y + 9= 12 + 9$

The LHS us now a perfect square trinomial:

${(y - 3)}^{2}= 21$

Take square root:

$y - 3 = \pm \sqrt{21}$

$y = 3 \pm \sqrt{21}$

The first choice is correct.

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iVinArrow [24]

Answer:

Solution,

Radius(R)= 7 cm

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$\frac{\pi \: {r}^{2} }{4}$

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omeli [17]

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What is the relationship between the 1s in 911,147,835

lukranit [14]

Find the relationship of 1’s in the given number.
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What ia cos 16°? Please help me

LuckyWell [14K]

This is a terrible question. Send the publisher a nasty note.

First let's answer the question.

Cosine is adjacent over hypotenuse, so the cosine of the angle labeled 16 degrees is 24 (the adjacent side to 16 degrees) divided by 25 (the hypotenuse).

Answer: 24/25

---------

Now I'm going to complain about the question. 24/25 is of course 0.96 exactly, while

cos 16° ≈ 0.96126169593831886191649704855706487352569

They're not the same, and never think 24/25 is the cosine of 16 degrees. It's approximately the cosine of 16 degrees; there's a big difference.

The cosine of 16 degrees is some awfully complicated algebraic number, a zero of some high degree polynomial with integer coefficients. Worse yet, the angle whose cosine is 24/25 is almost certainly a transcendental number, not the zero of any such polynomial.

Trigonometry as practiced forces approximations to be employed. Let's not sweep that under the rug in the questions, please.

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3 years ago