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____ [38]
3 years ago
8

How to find the solution of |a-4|=3a-6

Mathematics
1 answer:
Anika [276]3 years ago
6 0
For
|a|=b, solve for
a=b and a=-b

so

|a-4|=3a-6
solve
a-4=3a-6 and a-4=-(3a-6)

first one
a-4=3a-6
minus a from both sides
-4=2a-6
add 6 to both sides
2=2a
divide by 2
1=a

other

a-4=-(3a-6)
a-4=-3a+6
add 3a both sides
4a-4=6
add 4 to both sides
4a=10
divide by 4
a=10/4
a=5/2


a=5/2 and 1
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Rudiy27

Answer:

The answer to your question is 3. 0

Step-by-step explanation:

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Then, sin Ф = \frac{Opposite side}{Hypotenuse}

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2 years ago
Multiply (2 -10i) (-5 + 3i) Show each step for credit!
jonny [76]

Answer:

The answer is

<h2>20 + 56i</h2>

Step-by-step explanation:

(2 -10i) (-5 + 3i)

Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>

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2(-5) + 2(3i) - 10i(-5) - 10i(3i)

<u>Multiply the numbers and simplify</u>

We have

- 10 + 6i + 50i - 30i²

From the rules of imaginary numbers

<h3>i² = - 1</h3>

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- 10 + 56i + 30

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30 - 10 + 56i

We have the final answer as

<h3>20 + 56i</h3>

Hope this helps you

5 0
2 years ago
Is Abc A right triangle? (HELP)
ollegr [7]
<h2>Hello There today we will solve your problem</h2>

<em>Response-</em>

<em>ABC is absolutely a right triangle</em>

<em>we can use the pythagorean theorem to solve this</em>

<h3><em>Definitions</em></h3>

Right Triangle - <em>A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse.</em>

Pythagorean Theorem - <em>In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.</em>

<em>_________________</em>

<em>To use to the Pythagorean Theorem it is</em>

A^2+B^2=C^2

For our equation A would be 12 B would be 5

<em>_________________</em>

<h2><em>Solve</em></h2>

12^2+5^2\\144+25\\169\\C^2=169\\C=13

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3 0
2 years ago
Read 2 more answers
what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe
djverab [1.8K]

Answer:

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Step-by-step explanation:

Given as :

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