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Mazyrski [523]
2 years ago
11

How to justify each step in the solution of 5x+15=0

Mathematics
1 answer:
velikii [3]2 years ago
8 0

Answer:

Step-by-step explanation:

The given equation is:

5x+15 =0

Subtract 15 from both sides:

5x+15-15= 0-15

By solving the like terms we get:

5x=-15

Divide both sides by 5

5x/5 = -15/5

Simplify:

x= -3...

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Cot^2x csc^2x + 2 csc^2x –cot^2 = 2
kow [346]

Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

4 0
3 years ago
If the measure of a tangent-chord angle is 74, then what is the measure of the intercepted arc inside the angle
Vedmedyk [2.9K]
The measure of the intercepted arc is twice the measure of the tangent-chord angle:
  2×74° = 148°

The measure of the intercepted arc is 148°.
7 0
3 years ago
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3/10 divided by -3 1/2
Nitella [24]
The answer to this question is -3/35
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How many
tatiyna

Answer:

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Step-by-step explanation:

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2 years ago
10) in a school there are 1500 students. if 60% are boys, find the numbers of boys.​
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Answer:

900

Step-by-step explanation:

.6 * 1500

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