In the proof of the Law of Cosines, the equation [tex]c^2=h^2+(b-x)^2[/tex] was created using the Pythagorean theorem. Which equation is a result of expanding [tex](b-x)^2[/tex]?
A [tex]c^2=h^2+b^2-x^2[/tex]
B [tex]c^2=h^2+b^2-2bx+x^2[/tex]
C [tex]c^2=h^2+b^2+x^2[/tex]
D [tex]c^2=h^2+b^2-2bx-x^2[/tex]

Step-by-step explanation

work out the question in bracket first then separate numericals and variables to make it easier.

Answer:

distribute

5 + 8 = 3 ( + 2 )

expand to

 5 + 8 = 3 + 6

subtract 8 from both sides

5 + 8 = 3 + 6

5 + 8 − 8 = 3 + 6 − 8

simplify

5 = 3 − 2

subtract 3 from both sides

5 − 3 = 3 − 2 − 3

simplify

2 = − 2

then divide both sides by 2

2 / 2  = − 2/ 2

= − 2/ 2

answer is

= −1

Step-by-step explanation:

Hope that helps>3

Answer:

Step-by-step explanation:

20-6 + 4K =2-2k

=> 14 + 4k = 2 - 2k

=> 4k + 2k = 2 - 14

=> 6k = -12

[tex] = > k = \frac{ - 12}{6} [/tex]

=> K = -2 (Ans)

Hey there!

The formula to find the perimeter of a rectangle is "P=2(l+w)".

Hope this helps!

Have a great day! :)

Answer:

formula to find the perimeter of rectangle is

hope it helps

stay safe healthy and happy.

Answer:

slope=-1/5

y intercept=8

Hope this helps

Step-by-step explanation:

Answer:

Slope = -1/5

y-intercept: 8

Step-by-step explanation:

The line equation is y = mx + b, where m is the slope and b is the y-intercept.

We see that m is replaced by -1/5 and that b is replaced by 8.

Hope this helps!

Answer:

The Kathryn Kuhlman Miracle Box Set is a captivating collection of 3 truly heart-warming essentials that will rejuvenate your faith; giving you a sense of hope that you may have never felt before. The three wonderful books are titled I Believe in Miracles, Nothing Is Impossible with God and God Can Do It Again. This collection of books allows you to experience the magnificent power of Kathryn's miracle services. Through the power of God Kathryn helped to heal people all over the world in what seemed hopeless situations, inspiring readers to believe that you too can be healed by the almighty power of God.

Answer:

Does the side on which you choose to isolate the variable affect the solution?

Why might you choose one side over the other?

Answer:

if this is it the equation would be L = 8w + 5

The level of measurement of the data is ORDINAL and the data is QUALITATIVE.

An Ordinal level of measurement is one whereby measurement follows a natural order, however, the difference or distance between each category cannot be measured. Ordinal data level are applicable to categorical variables.

In the scenario given,

The different categories available are :

One star, two stars, three stars, four stars and five stars.

The categories are ordered with the number of stars depicting better quality however, the difference between the quality offered isn't measurable.

Qualitative data groups variables into different categories and are used for non - numeric variables.

Quantitative data on the other hand are used for numeric data.

Hence, the level of measurement is Ordinal and the data is QUALITATIVE

Learn more : https://brainly.com/question/12929865?referrer=searchResults

Answer:one star

Step-by-step explanation:

Answer:

it's closer to 2

Step-by-step explanation:

In order to get to 1 from that number, you have to subtract 3/4.  In order to get to 2 from that number, you only have to add 1/4.  Clearly, the jump in adding is  smaller than the jump to subtracting, which means it's closer to 2.

The number is closer to 2

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

Given number:

1 3/4 = 7/4

On dividing

7/4 = 1.75

Hence, the number is closer to 2.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer:

Step-by-step explanation:

2x+3=x-7

=> 2x - x = - 7 - 3

=> x = -10 (Ans)

Answer:

[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Notice how y is isolated in slope-intercept form.

[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]

To change this into slope-intercept form, isolate y.

Use the distributive property on the parentheses:

[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]

Subtract 5 from both sides:

[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

( A ). It has reflectional symmetry with one line of symmetry.

Answer:

y=-6x-2

Step-by-step explanation:

x-6y=12

y=x/6-2

y=mx+c

since theyre perpendicular, 1/6 * m = - 1

m = -6

y=-6x+c

sub x=-1,y=4

4=-6(-1)+c

c = -2

y=-6x-2

Answer:45 degrees

Step-by-step explanation:

Answer:

17/12

Step-by-step explanation:

7/8 x 2-1/3

7/4-1/3

17/12

Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

Answer:

9-2b

Step-by-step explanation:

Set up equation:

[tex]9 - 8b + 6b[/tex]

Add like terms

[tex]9 - 2b[/tex]

Answer:

6 * 100 = 600

14 * 10  = 140

12 * 1    = 12

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

752

Answer:

The answer is C

Step-by-step explanation:

The line graph shows the line going right so it greater than or >. The circle is not colored in so there is no line under the greater than sign > so answer is C

Answer:

0.845, 0.839, 0.748, 0.712, 0.643

Answer:

0.845, 0.839,0.748,0.712,0.643

The comparison of both resistors is defined by an inequality. Resistor A has a higher resistance than resistor B because [tex]100.15\Omega > 99.22\Omega[/tex]

Given that:

[tex]R = 100 \Omega[/tex] ---- the reference resistor

First, we calculate the resistance of both resistors

Resistor A differs by [tex]0.15\Omega[/tex] means that:

[tex]R_A = 100\Omega + 0.15\Omega[/tex]

[tex]R_A = 100.15\Omega[/tex]

Resistor A has a resistance of [tex]100.15\Omega[/tex]

Resistor B differs by [tex]-0.78\Omega[/tex] means that:

[tex]R_B = 100\Omega -0.78\Omega[/tex]

[tex]R_B = 99.22\Omega[/tex]

Resistor B has a resistance of [tex]99.22\Omega[/tex]

By comparing the calculated values, we can conclude that:

Resistor A has a higher resistance than resistor B because [tex]100.15\Omega > 99.22\Omega[/tex]

Read more about inequality comparison at:

https://brainly.com/question/11772136

Answer:

just observe its like corresponding soo..

CAB = DEF

ABC = EFD

ACB = EDF

EMJOY ;)

Answer:

61

Step-by-step explanation:

(7 + 5) + 4 * 13 - 2

~Simplify using PEMDAS

12 + 4 * 13 - 2

12 + 52 - 3

64 - 3

61

Best of Luck~

Answer:

64

Step-by-step explanation:

(30+2)2

30*2+2*2

60+4

64

Answer:

B. (30+2)^2

Step-by-step explanation:

(30+2)^2=30^2+2(30)(2)+2^2=900+120+4=1024

32^2=1024. The way to solve without calculator is above.

Hope this helps!

Please mark as brainliest if correct!

The value of x+y using given equations is 3x+2y=1.

The given equation are 3x+2=4 and 2y+6=5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

To find x+y:

3x+2+2y+6=4+5

⇒ 3x+2y+8=9

⇒ 3x+2y=1

Hence, the value of x+y using given equations is 3x+2y=1.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

A

Step-by-step explanation:

fog(x) = f(g(x) = f(1/2x) = 4x/(1+6x)

Answer:

21

Step-by-step explanation: