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]

Answers

Answer 1

9514 1404 393

Answer:

  B  c² = h² + b² -2bx +x²

Step-by-step explanation:

The square of the binomial can be expanded using the distributive property:

  c² = h² +(b -x)²

  c² = h² +(b -x)(b -x)

  c² = h² +b(b -x) -x(b -x)

  c² = h² +b² -xb -bx +x²

  c² = h² +b² -2bx +x² . . . . . matches choice B


Related Questions

I need help with this problem please

Answers

the perimeter is 38 units

Answer:

38

Step-by-step explanation:

10 + 4 + 2 + 9 = 25

That's the stuff we're given.

Now the other sides.

10 - 2 = 8,

9 - 4 = 5,

25 + 8 + 5 = 38

HELP PLEASE
here’s the picture

Answers

Answer:

I Believe this is it :DD

Step-by-step explanation:

Answer: yes that you the right A

Step-by-step explanation:

3c = 2(c - 1)
How to write that as a verbal sentence

Answers

Answer:

3 times a value is equal to twice as much as it's predecessor.

BIG IDEAS MATH #18 Find the distance between the points J( – 8,0) and K(1,4). The exact distance between the two points is​

Answers

Answer:

√97

Step-by-step explanation:

d = √(x2 − x1)^2 + (y2 − y1)^2

d = √(1 - -8)^2 + (4 - 0)^2

d = √9^2 + 4^2

√81 + 16

√97

Jorge Is there a 15% tip for the waitress. The cost, C, of his dinner is $45.50. Use the equation below to determine the total,t, of Jorge’s dinner plus the tip.


A. $728

B. $113.75

C. $52.33

D. $6.83

Answers

Answer:

Below

Step-by-step explanation:

To find the total cost of Jorge's dinner, all you need to do is multiply the cost of his dinner by 1.15 (the tip amount)

     $45.50 x 1.15 = 52.325

                            = $52.33

Hope this helps!

A table is on sale for $179.20, which is 72% less than the regular price. What is the regular price?​

Answers

Answer:

640

Step-by-step explanation:

price ÷ 1 - percent (as decimal)

179.20÷(1-0.72) = 640

Answer: Regular price = $640

Step-by-step explanation:

Given information

New price = $179.20

Rate of discount in price = 72%

Given expression

Original Price = New Price / (1 - Rate of discount)

Substitute values into the expression

Original Price = 179.20 / (1 - 72%)

Simplify values in parentheses

Original Price = 179.20 / 0.28

Original Price = $640

Hope this helps!! :)

Please let me know if you have any questions

A town planner lays out the design for a park on a coordinate grid. The point (1, 1) represents a point 1 foot north and 1 foot east of the center of the park at (0, 0). On the design, a triangular path within the park has vertices at (-350, 200), (300, -400), and (160, 500). What is the length of the triangular path, rounded to the nearest tenth of a foot?

Answers

9514 1404 393

Answer:

  2387.1 ft

Step-by-step explanation:

I find a spreadsheet to be a convenient tool for repeated calculations using the same formula. Here, the distance between two points is given by ...

  d = √((x2 -x1)² +(y2 -y1)²)

For example, the distance between the first two points is ...

  d = √((300 -(-350))² +(-400 -200)²) = √(422500 +360000) ≈ 884.59

Other distances are calculated the same way. The results are shown in the attached spreadsheet, which also adds them up.

The path length is 2387.1 feet.

You have 24 quarts of brown stock you need .75 cups to make one serving of braised short ribs. How many can you make?

Answers

Answer:128

Step-by-step explanation:

1 quart= 4 cups

You have 24 quarts

24x4=96

96/0.75=128

1. Dorothy was able to answer yes to 16/25 of the survey questions. What is 16/25
written as a decimal?

Answers

Answer:

16/25 as a decimal is 0.64

Step-by-step explanation:

Choose all that give a level of accuracy appropriate for situation.

The distance for a flight from Georgia to Texas to the nearest mile.

Measuring how long the large mouth bass you caught while fishing to the nearest foot.

The number of party favors needed for a birthday party by the whole number.

The volume of water in a water bottle to the nearest fluid Ounce.

The cost of new laptop plus tax calculated to the nearest tenth.

Answers

Using unit measurement concepts, it is found that the correct options are:

The distance for a flight from Georgia to Texas to the nearest mile.Measuring how long the large mouth bass you caught while fishing to the nearest foot.  The number of party favors needed for a birthday party by the whole number.The cost of new laptop plus tax calculated to the nearest tenth.  

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

When measurements are made, the unit used is a big consideration, to give accuracy to the measurement. For example, measuring a person's height is kilometres would not give an accurate representation.

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

In the first option, for distance between cities or states, miles is the most widely used metric, so this option is correct.In the second option, heights of mouth bass are usually measured in inches, which is easily converted to feet(dividing by 12), and thus, this option is correct.In the third option, for each person, there is usually a favor, thus, whole number is an accurate metric, and this option is correct.In the fourth option, volume of water is usually measured in liters, and fluid ounces are way smaller than liters, thus not giving an accurate representation.In the fifth option, costs of products, especially expensive products such as laptops, are rounded to the nearest tenth, and thus, this option is correct.

A similar problem is given at https://brainly.com/question/16563559

Find the length of the segment indicated.
.
9.6
10.2
<

Answers

Answer:

i think d or c.....i think it's correct because know just small...

Combine Like Terms
5. Which expression is equivalent to 30x-5y-15x+10 ?
20xy
- 15x-5y+10
10xy+10
15x-5y+10

Answers

Answer:

(15x -5y + 10)

Step-by-step explanation:

After you combine like terms and factor the expression that's what you get :)

What is an equation of the line that passes through the points (-5, -8)(−5,−8) and (-4, -6)(−4,−6)?

Answers

Answer:

Step-by-step explanation:

General equation of a line is y= mx+b,

where m is the slope and b is the y- intercept

For points (-5, -8) and (-4, -6) the slope is

m= difference in y / difference in x

m = [-6 - (-8)] / [-4 - (- 5)] = (-6+8)/(-4+5) = 2/1 =2

Now we know that y= 2x+b , to find b substitute the coordinate (x, y) with coordinate (-4, -6) -you could pick the other point if you want will work because both points are on the line.

-6 = 2(-4) +b , multiply

-6 = -8 + b, add 8 to both sides

-6+8 =b , add

2 =b

The equation of the line that passes through the points (-5, -8) and (-4, -6) is

y= 2x+2

First of all, you will find the gradient. The formula for finding the gradient is y2-y1 /x2-x1. - 6--8/-4--5.If two negatives meet they change to positive. - 6+8/-4+5=2/1,therefore the gradient is 2,after that then you will find the equation of the line. The formula for finding the equation of the line is y-y1=m(x-x1). y-(-8)=m(x--5),y+8=2(x+5),y+8=2x+10,y=2x+2.


Three angles of a triangle are the 4x or (4x-2) and (3x+6). Find x

Answers

Answer: x = 16

Step-by-step explanation:

4x + 4x-2 + 3x + 6 = 180 (being sum of triangle)

or, 11x + 4= 180

or, 11x = 176

so, x = 176/11

so, x = 16  

What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term.

Answers

The two answers you are looking for are 16π m² and 50.24 m².

Solution:

Finding the area of the circle,

First, knowing what the area of a circle formula is:

A=πr²

Since knowing that the radius is half the length of the diameter,

If the diameter is 8, then the radius must be 4.

A=π(4)²

A=16π m²

Now, you have the first answer. If you want to express it differently,

Using 3.14 as pi,

So, therefore,

A=16(3.14)

A=50.24 m²

So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².

Answer:

16pi and 50.24 m squared

Step-by-step explanation:

SOMEONE HELPPPPP 4a-18=6a

Answers

Answer:

a = -9

Step-by-step explanation:

Solving for a in steps:

4a - 18 = 6a6a - 4a = -182a = -18a = -18/2a = -9

Will give brainliest answer

Answers

9514 1404 393

Answer:

  (C)  g = f(-x)

Step-by-step explanation:

g is a reflection of f over the y-axis. Such a reflection replaces x with -x.

  g(x) = f(-x) . . . . . matches choice C

_____

Additional comment

(A) leaves the function unchanged.

(B) is a reflection over the x-axis

(C) is a reflection over the y-axis (applicable here)

(D) is a reflection over the origin (both x- and y-axes)

Find the perimeter of this rectangle.
53 in.
16 in.
[?]
inches

Answers

Answer:

138

Step-by-step explanation:

perimeter of rectangle=2(l+b)

=2(53+16)

=2(69)

=138

Answer:

138

Step-by-step explanation:

Perimeter = all side lengths added

Perimeter = 2(53 + 16)

Perimeter = 138

help me plz now plz help me asap​

Answers

[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]

[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]

5. Find the solutions of x^2 – X-30 = 0.

please show work on how to do it

Answers

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

Step-by-step explanation:

[tex] {x}^{2} - x - 30 = 0[/tex]

➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]

➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]

➡️ [tex](x + 5) \times (x - 6) = 0[/tex]

➡️ [tex]x + 5 = 0[/tex]

➡️ [tex]x - 6 = 0[/tex]

➡️ [tex]x = - 5[/tex]

➡️ [tex]x = 6[/tex]

➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]

4 and 1 over 4 divided by 1 and 7 over 8

Answers

Answer:

3 and 23 Over 32

Step-by-step explanation:

Done

.

.

.

.

.

.

456.483 in expanded form

Answers

(456.400)+(456.080)+(456.003)= 456.483

Me ayudarias a resolver los problemas :c

Answers

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lucy made 3 cakes that each weighed 32 ounces. how many pounds of cake did lucy make

Answers

There are 16 ounces in a pound. 3 x 32= 96
96/16=6

Lucy made 6 pounds of cake. Hope this helped!

Answer:

6 pounds

Step-by-step explanation:

1 pound = 16ounces

32ounces*3cakes= 96ounces/16ounces=6pounds

Miguel Sebring took out a loan for $5,000 at 9.5% exact interest for 90 days. How much interest will Miguel pay?

Answers

Answer: Miguel will pay Rs 11,875.

Step-by-step explanation:

P = 5,000

R = 9.5%

T = 90 days

now changing time into years

360 days = 1 year

90 days = 1/360 * 90 = 1/4 years = 0.25 years

now

I = PTR/100

= (5,000*9.5*0.25)/100

 = 11,875

2.
It takes Troy 3 hours to mow his family's large lawn. With his little brother's help, he can
finish the job in only 2 hours. How long would it take the little brother to mow the entire
lawn alone ?
(A) 4 hr
(B) 5 hr
(C) 5.5 hr
(D) 6 hr
(E) 6.75 hr

Answers

Answer:

It takes four hours because the little bro is alone and only one lawn mower is used

The sets J and L are given below.
J={-1, 1, 3, 5, 7, 8)
L={-1, 2, 3, 5, 8)
Find the union of J and L.
Find the intersection of J and L. Write your answer using set notation ( in roster form)

Answers

Union = -1,1,2,35,7
Intersection= -1 , 3, 5,8

Answer:

(J ∪ L) = { -1, 1 , 2, 3, 5, 7, 8}

(J ∩ L) = { -1 , 3, 5, 8}

For three collinear points. A between T and Q.
a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. If AT = 10 in and AQ = 5 in, what is TQ?

Answers

Answer:

Write the segment addition postulate

I will give brainliest !!

Answers

Answer:

a

Step-by-step explanation:

What is the absolute value of 6.4?

Answers

Answer:  = 6.46.4 is the answer because when asking the absolute value of a positive number it always stays the same.

Absolute value of 6.4 is 6.4 itself.

What is the number line?

A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that if corresponds to, such as when graphing a point.

Since, Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Thus, the absolute value of a positive number is always positive

Therefore, the Absolute value of 6.4 is 6.4.

Learn more about number line here:

https://brainly.com/question/28625166

#SPJ1

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