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3 years ago

What is the value of x? Leave your answer in simplest radical form.

Mathematics

2 answers:

Dafna1 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

As it is right angle, we can use Pythagoras theorem.

x² = 2² + 4²

= 4 + 16

x² = 20

x = √20 = √2*2*5

x = 2√5

e-lub [12.9K]3 years ago

4 0

Answer:

Option 4

Step-by-step explanation:

x² = 4² + 2²

x² = 20

x² = 2²×5

x = 2sqrt(5)

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Prove that 1/sin^2A -1/tan^2A= 1

Vika [28.1K]

Answer:

Step-by-step explanation:

$LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS$

Hint: 1 - Cos² A = Sin² A

4 0

2 years ago

Shelly ran 2 1/4 miles Lynne ran 3 1/8 Miles WhobRan Farther and by how much

ValentinkaMS [17]

Lynne ran farther and by 7/8 miles

You can tell Lynne ran further because she ran 3 whole miles while shelly only ran 2 whole miles. Now you have to subtract to see how much Lynne had ran more.

You found a common denominator between 8 and 4. 4 can turn into 8. so you multiply 4x2 and 1x2 to get a mixed number of 2 2/8

Now you have to turn 3 1/8 because you cannot subtract 2/8 from 1/8. You can turn the fraction into 2 9/8 because there are 8 pieces in a whole.

2 9/8 - 2 2/8 = 0 7/8

Hope this helps! :)

6 0

2 years ago

please help: What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2, 1)?

weqwewe [10]

Answer:

y = 5x + 11 or -5x + y = 11

Step-by-step explanation:

Given line:

-5x + y = 2

In slope-intercept form:

y = 5x + 2

The parallel line has the same slope and will look as:

y = 5x + b

This line passes through the point (-2, 1), substitute:

1 = 5*(-2) + b
b = 1 + 10
b = 11

So the line is:

y = 5x + 11

-5x + y = 11

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2 years ago

|f−6|=|f+8| please help

soldi70 [24.7K]

Answer:f=-1

Step-by-step explanation:

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3 years ago

Factorise k(a³ + b³)-m(a³ + b³)

Neporo4naja [7]

Answer:

this is so easy

Step-by-step explanation:

8 0

2 years ago