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3 years ago

Use the Pythagorean Theorem to find x, in simplest radical form. Help please!

Mathematics

2 answers:

liberstina [14]3 years ago

6 0

Hey friend here's your ans from India..

anyanavicka [17]3 years ago

6 0

$a {}^{2} + b { }^{2} = c {}^{2}$
${7}^{2} + b {}^{2} = 14 {}^{2}$
$49 + b {}^{2} = 196$
subtract 49 from both sides

$b {}^{2} = 147$
take the square root of both sides
$b = 7 \sqrt{3}$

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What is i^84? a) -i b) i c) -1 d) 1

mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

$i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1$

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

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4 years ago

1 1/3 • 5/6 = x<br> What is x?

adell [148]

X=3.03
11/3=3.66
5/6=.83

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4 years ago

Find the slope of the line passing through the points (4,4) and (6, -5)

Verdich [7]

I not sure if you mean the gradient of the line or the equation, so here is both.

Gradient (=m) :

( 4, 4 ) ( 6, 5 )
( x1 , y1) ( x2, y2 )

m = y2-y1 / x2-x1
= -5-4 / 6 - 4

= -9 / 2 (as a fraction)
= -4.5 (as a decimal)

Equation of the line :

m = -9/2

( 4, 4 )
( a, b )

y - b =m (x - a)
y - 4= -9/2 (x - 4)
(Multiply both sides by 2 to get rid of fraction)
2y - 4 = -9 (x - 4)
2y - 4 = -9x + 36
2y = -9x + 36 + 4
2y = -9x + 40

2y + 9x = 40

Please feel free to ask if you have any questions

8 0

4 years ago

Read 2 more answers

Which is a perfect square?

Leni [432]

Answer:

I believe it's 6^2.

Step-by-step explanation: 6^2 is the same as 6 times 6. Here's a tip, if you see a 2 as an exponent, you can also say x squared. X to the power of 2 is the same as x squared.

7 0

3 years ago

Read 2 more answers

Point G bisects the line segment FH. The length of FG is 16 less than 3 times the length of GH. What is the length of FH?

charle [14.2K]

Answer: FH = 16

Concept:

Bisect means to cut or divide something into two equal parts.

In mathematics, usually bisect means cutting a segment or an angle.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

<u>Given information</u>

FG is 16 less than 3 times the length of GH

Let x be the length of GH

<u>Given expression</u>

FG = GH

<u>Set equation</u>

3x - 16 = x

<u>Add 16 on both sides</u>

3x - 16 + 16 = x + 16

3x = x + 16

<u>Subtract x on both sides</u>

3x - x = x + 16 - x

2x = 16

<u>Divide 2 on both sides</u>

2x / 2 = 16 / 2

x=8

--------------------------------------------------------------------------------------------------------------

Concept:

In order to find the length of FH, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

<u>Given information</u>

FG = GH = x

x = 8

<u>Given expression deducted from the segment addition postulate</u>

FH = FG + GH

<u>Substitute values into the expression</u>

FH = x + x

FH = 8 + 8

$\boxed {FH=16}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

3 years ago