Please help! And please explain how you got it so I can understand future problems :3

Mathematics

1 answer:

Andreyy893 years ago

8 0

Answer:

B 53/20

Step-by-step explanation:

| -4/5-1/10| + |-3/4 +5/2|

We need to get common denominators. The first absolute value has a common denominator of 10

| -4/5-1/10|

| -4/5*2/2 -1/10|

|-8/10 -1/10|

|-9/10|

Absolute value means take the positive value

9/10

We need to get common denominators. The second absolute value has a common denominator of 4

| -3/4 +5/2|

|-3/4 +5/2*2/2|

|-3/4 +10/4|

|7/4|

Absolute value means take the positive value

7/4

9/10 + 7/4

We need to get a common denomintor, that would be 20

9/10*2/2 + 7/4*5/5

18/20 + 35/20

53/20

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1. Given the equation (x – 3)2 – 32 = 17 a)

m_a_m_a [10]

We know that

The square root property is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> will take the square root of each side
so
√(x – 3)²=(+-)√7²------> notice the use of the sign (+-), this will give us both a positive and a negative root

then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist the possibility of two roots for every square root, one positive and one negative

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Lesechka [4]

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3 years ago

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spayn [35]

Answer:

A. 34°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS