What is the Pythagorean Theorem and when can you use it?

Answers

Answer 1

Step-by-step explanation:

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

You use the Pythagorean Theorem when you know the lengths of two sides of a right triangle and you want to figure out the length of the third side.


Related Questions

What is the slope of the line that contains the points (13, -2) and (3, -2)?

Answers

Answer:

the slope = 0

Step-by-step explanation:

we notice that the points (13, -2) and (3, -2) have the same y-coordinate -2

Then

the slope = 0

Answer number 9 please thanks

Answers

the answer should and probably will be 110

Please help!! 50 points!!!!


Jim walks 3 miles per hour slower than his friend Steve runs. Steve runs 4 miles per hour slower than his friend Matt rides his bike. Jim walks 25 miles in the same time Matt rides his bike 60 miles. Steve runs 16 miles in the same time Matt rides his bike 24 miles.

Part A: Write an equation to calculate Jim's speed.

Part B: Write an equation to calculate Steve's speed.

Part C: Write two equations that can be used to calculate Matt's speed.

Answers

Answer:

Jim=S-3

Steve=M-4

U figure out the last part.           I helped

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Let Jim, Steve, and Matt have speeds of j, s, and m respectivelyFrom the problem :j = s - 3 [Jim]s = m - 4 [Steve]

Jim takes same time to walk 25 miles at it takes Matt to ride 60 milesj = 25/t₁ and m = 60/t₁Steve runs 16 miles in the same time Matt rides his bike 24 miless = 16/t₂ and m = 24/t₂

Equating Matt's Speed in both cases

60/t₁ = 24/t₂t₁/t₂ = 5/2 = 2.5t₁ = 2.5t₂

Now, taking Equation 1 :

j = s - 325/t₁ = 16/t₂ - 325/(2.5t₂) = 16/t₂ - 310/t₂ = 16/t₂ - 36/t₂ = 3t₂ = 2 st₁ = 2.5(2) = 5 secondsEq.1) m = 60/5 [Matt]

Now, taking Equation 2 :

s = m - 416/t₂ = 24/t₂ - 48/t₂ = 4t₂ = 2 secondsEq.2) m = 24/2 [Matt]

-6719+2376
Show how you worked it out

Answers

Answer:

-4343

Step-by-step explanation:

-6719

+2376

-----------

-4343

I urgently need help!! Please!!

Answers

Answer: f= [tex]x^2+4x+8+(7/3x-4)[/tex]

Step-by-step explanation:

Careful with simplifying every step.

let p be a polynomial function where p(x)=x4- dx3 + 8x2 - 10x + 4 if (x-2) is a factor of the polynomial, what is the value of d?

Answers

Answer:

d = 4

Step-by-step explanation:

If (x -2) is a factor of polynomial p(x), then the remainder will be zero.

⇒ p(2) = 0

[tex]\sf \bf 2^4-d*2^3 + 8*2^2 -10*2 + 4 = 0\\\\[/tex]

       16 - 8d + 8*4 - 20 + 4 = 0

        16 - 8d + 32 - 20 + 4 = 0

                   -8d  +  32       = 0

                              -8d      = - 32

                                      d = -32/(-8)

[tex]\boxed{d = 4}[/tex]

The price of an item has been reduced by 80% . The original price was $85. What is the price of the item now?
and fast pls it is due today and thx u!.

Answers

Answer:$17

Step-by-step explanation If the original price was $85 and it is reduced by 80%, that will be 80/100 ×85= 68
80% discount is $68
The new price will be 85-68= $17


Let the price be x

x=85-80% of 85x=85-0.8(85)x=85-68x=$17

Price is $17 now

Bubba's Boot is a favorite stop of visitors to Nashville's downtown shopping
area. Last year 2.42 x 105 people visited Bubba's. This year it has become an even
more popular venue with 2.53 x 106 visitors. About how many more visitors have
been to Bubba's this year than last year?

Answers

Answer:

Scientific Notation: 2.29 × [tex]10^6[/tex]

Standard Form: 2288000

I hope this helps you

:)

Answer:

About 12 more visitors ( 12.08 to be exact)

Bob is solving the following linear equation. 17 - 4x - 4= - 10x + 13 + 6x His final two steps are: : 13- 4x = - 4x + 13 = 13= 13 Select the statement that correctly interprets Bob's solution. A The solution is x = 0. ® The solution is the ordered pair (13, 13). © There is no solution since 13 = 13 is a true statement. © There are infinitely many solutions since 13 = 13 is a true statement.​

Answers

The equation 17 - 4x - 4= - 10x + 13 + 6x is a linear equation

The true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.​

How to determine the true statement?

The equation and the steps are given as:

17 - 4x - 4= - 10x + 13 + 6x

13 - 4x = -4x + 13

13 = 13

The final step where both sides of the equation are represented by the constant value 13 means that:

The equation has infinitely many solutions

Hence, the true statement about Bob's solution is (d) There are infinitely many solutions since 13 = 13 is a true statement.​

Read more about linear equations at:

https://brainly.com/question/14323743

Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) right-bracket cubed 2 cubed = left-bracket log subscript 3 baseline (x 5) right-bracket squared 3 squared = x 5 2 cubed = x 5

Answers

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

What is logarithm and some of its useful properties?

When you raise a number with an exponent, there comes a result.

Lets say you get [tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]

Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.

Log with base 10 is written as [tex]\log(x)[/tex] simply.


The equation given is:

[tex]\log_3(x+5) = 2[/tex]

By using the definition of log, which says [tex]a^b = c \leftrightarrow \log_a(c) = b[/tex], we get:

[tex](x+5) = 2^3[/tex] or [tex]2^3 = x+5[/tex]

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]

Learn more about logarithm here:

https://brainly.com/question/20835449

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem

Answers

Answer: converse alternate exterior angles theorem

Step-by-step explanation:

Find the product: seven multiplied by ten fourteenths Leave your answer as an improper fraction.

seventy fourteenths
seventeen fourteenths
seventeen twenty ones
seventy twenty ones

Answers

Answer:

seventy fourteenths

Step-by-step explanation:

seven = 7

ten fourteenth = 10 fourteenth

one-fourteenth = 1/14, so ten fourteenths = 10/14

7 * 10/14

when multiplying two numbers, multiply the numerators and denominators together separately to get your new numerator and denominator

7 = 7/1 as anything divided by 1 equals itself

7 * 10/14 = 7/1 * 10/14 = (7*10) / (1*14) = 70/14 = seventy fourteenths

solve 6x=2y+8, 4x+5y+10=47 by substitution method​

Answers

the value of x= 3

and the value of y=5

Answer:

(x , y) = (3 , 5)

Step-by-step explanation:

       [tex]\begin{cases}6x=2y+8&\\ 4x+5y+10=47&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 12x+15y+30=141&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ (4y+16)+15y=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y+16=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y=95&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ y=\frac{95}{19}=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=20+16=36&\\ y=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}x=3&\\ y=5 &\end{cases}[/tex]

what will you divide by 1/2 to get 2?

Answers

Answer:

0.25

Step-by-step explanation:

1/2 divided by 0.25 gives you 2. If you want approval do it on a calculator.

Hey there!

EQUATION: 1/2 ÷ x = 2

REWRITE: 1/2x = 2

MUTLTPLY 2x to BOTH SIDES

1/2x * 2x = 2 * 2x
SIMPLIFY IT!

1 = 4x

4x = 1

DIVIDE 4 to BOTH SIDES

4x/4 = 1/4

SIMPLIFY IT!
x = 1/4


Therefore, your answer is: 1/4


Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Is the function F(x)=5x2

Answers

It letter a and yea thats the function

Pls help answer 16,15,17

Answers

Answer:

1#

3

2#

6

3#

9

4#

12

5#

15

Step-by-step explanation:

dont mind the answer that I picked on accident and pls dont send no PDF or a image to download

Answers

Answer:

I guess that X measures 50° because X and 50 are vertically opposite angles...

Given X(4, -7). what are
the coordinates of X" 1EX - R,ax(R, axi, (X)),
A
(4,7)
B
(0,9)
C
(-4, -7)
D
(-4, 7)

Answers

C. I’m not sure I think this right thou

Solve the system of equations (1 point)
y = 2x(squared) – 3
y = 3x - 1

Answers

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

════════════════════

1.

[tex]y = {2x}^{2} - 3[/tex]

[tex] {2x}^{2} - 3 = y[/tex]

[tex] {2x}^{2} = y + 3[/tex]

[tex]\frac{2x^{2}} {2} = \frac{y + 3}{2}[/tex]

[tex] {x}^{2} = \frac{y + 3}{2} [/tex]

[tex]x = \sqrt \frac{2y + 6}{2}[/tex]

───────────────────

2.

[tex]y = 3x - 1[/tex]

[tex]3x - 1 = y[/tex]

[tex]3x = y + 1[/tex]

[tex] \frac{3x}{3} = \frac{y+1}{3}[/tex]

[tex]x = \frac{y + 1}{3}[/tex]

═══════════════════

Explanation:

#Carry on learning

What is the slope of the line 3 = 4 + 5?

Answers

Answer:

4/3 = slope

Step-by-step explanation:

5) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!

Answers

Answer:

A: y= 3x-4

B: y= -2/4x+3

Step-by-step explanation:

slope intercept form: y=mx+b

m = slope

slope = rise/run

b = y-intercept

Answer:

A: y = 3x - 4

B: y = -1/2x +3

Step-by-step explanation:

First, lets find the slope of line B. We need to find two coordinates on the line that coincide with points on the grid. We see that (2, 2) and (4, 1) are two points that match the criteria, so we can use both points. You can use any two points, I just randomly chose these two. Slope is nothing but the Y coordinate of the first point  subtracted from the Y coordinate of the second point. We do 2 - 4 and get -2. Next, we do the same thing but with the X coordinates to get 2 - 1, which is 1. We do 1 over -2 to get negative 1/2 for our slope. The last variable in the equation is just where the line hits the Y axis, which is 3. So, the final equation is y = -1/2x + 3. Rinse and repeat for the next question.

If 2/5 of the judges were wearing their powdered wigs, what fraction of the judges were not wearing their powdered wigs?

Answers

Answer: [tex]\frac{3}{5}[/tex] of the judges were not wearing their powdered wigs.

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] out of the whole [tex]\frac{5}{5}[/tex] were wearing a wig. So subtract [tex]\frac{2}{5}[/tex] from [tex]\frac{5}{5}[/tex] to see the fraction that wasn't wearing a wig.

[tex]\frac{5}{5} -\frac{2}{5} =\frac{3}{5}[/tex]

answeeerrrr ill give brainiest

Answers

Angle 2 is 37 degrees, it is adjacent from the one given, therefore it is the same amount.

Tell me if this helps
Please mark me as brainliest

The measure of angles are opposite angles where ∠2 = 37°'

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the two intersecting lines be m and n

where the measure of ∠4 = 37°

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

So , the measure of ∠2 = ∠4

On simplifying , we get

The measure of angle ∠2 = 37°

Hence , the angle is ∠2 = 37°

To learn more about angles formed by intersecting lines click :

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#SPJ7

Jacinta compares the volume of two boxes. Both boxes have a width of

2. 5

2. 5 inches, and a height of

10

10 inches. The larger box has a length of

8

8 inches. The smaller box has a length that is

75

%

75% of the length of the larger box.

Answers

Answer:200 in ^3

Step-by-step explanation:

14. Which of these functions is linear?
A. xy = 12
B. y = x5 - X4
C. 3x + 5y = 9
D. y - 2 = x(x + 1)

Answers

Answer:

3x + 5y = 9

Explanation:

A linear function is represented by the equation: y = mx + b

In option C:

3x + 5y = 9       is a linear equation as it has slope and y-intercept

Linear means degree is 1

#A

xy=12

Not linear

#B

y=x⁵-x⁴

Degree is 5 not linear

#C

3x+5y=9

Linear

#D

y-2=x²+x

Degree is 2 hence quadratic

Drink A is 20% water by weight, and drink B is 35% water by weight. How many fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%

Answers

Answer:

40 fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%

Step-by-step explanation:

35% of 80 oz of drink B = 0.35(80) = 28 oz

0.20(A) + 0.35(80) = 0.30(A + 80)

0.20A + 28 = 0.30A + 24

A = 40

See the picture for my question.

Answers

(2,0), look for the intersection of the colored lines

!!20 points and Brainliest!!! PLEASE ONLY ANSWER IT IF YOU KNOW THE ANSWER PLEASE!!!

What should be done to x^2 - 12x to create a perfect square?

A) add 36

B)subtract 6

C)add 6

D)subtract 36

Answers

Answer:

add 36

Step-by-step explanation:

give me brainliest

Answer:

add 36

Step-by-step explanation:

Which number is the best estimate of 2.3 x 3.6?
O A. 6
OB. 8
O c. 9
OD. 12

Answers

Answer:

B. 8

Step-by-step explanation:

Explanation: 2.3x3.6 is 8.28, and we round down to 8 because 8.28 is closer to 8 than 9.

B.8 because when you multiply it on the calculator the answer is 8.28

PLS HELP 45 POINTS whats the answer?

Answers

Answer:

Step-by-step explanation:

d or b

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