Pythagorean Theorem:a2 + b2 = c2

Re−write the formula solving for b2 .

Answers

Answer 1

Answer:

b2= a2-c2. that is the formula while making b2 subject

Answer 2

Answer:

[tex]b=\sqrt{c^2-a^2}[/tex]

Step-by-step explanation:

a² + b² = c²

~Subtract a² to both sides

b² = c² - a²

~Take square root of both sides

b = ±√c²-a²

Best of Luck!


Related Questions

WILL GIVE 15 POINTS FOR THE CORRECT ANDWER PLEASE I NEED HELP
Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they want to have a car at school this year, they are planning to drive Tony's car from Albuquerque to Boston at the beginning of the school year. Although they will each pay for their own food during the road trip, the friends plan to split the costs for gas and hotels evenly between the four of them.

Estimate the total cost that each friend will have to pay for gas and hotels. Explain and show your work on how you got your answer. Here are some figures that may help you out:

• Tony's car can travel 28 miles for each gallon of gas.

• The average fuel cost at the time of their trip is $3 per gallon.

• They plan to drive about 650 miles each day.

• They estimate the average cost of a hotel each night is $85.

• They will drive approximately 2,240 miles to get from Albuquerque to Boston

Answers

When I did the problem i got 2,445

Another term for a possible "rule" of a pattern it is called

Answers

Answer:

A sequence

Step-by-step explanation:

A sequence is a collection of things arranged such that there is order or form in the collection. The components of a sequence are called elements or terms

The pattern in a sequence is achieved by the implementation of well defined rules, such that a term more than one space from a known term can be calculated

An example of a sequence is the following numbers;

1, 6, 11, 17, 22, 28,...

It can be observed that each subsequent term of the sequence is larger than the previous term by 5, therefore, 5 is known as the common difference, and the sequence is known as an arithmetic progression.

Alfredo bought a fishing pole for 60%
off its original price of $97. If the tax
was 4% (of the sale price), how much
did Alfredo pay for the fishing pole?
Don't forget to round to the nearest cent!

Answers

Answer:

$40.35

Step-by-step explanation:

the pole is 60% off so we only pay 40% of the pole

97*.40=38.80

38.80*.04=1.55 <---tax

38.80+1.55=40.35

f(a) = – 3a – 2,
for a = -7

Answers

Answer:

7

Step-by-step explanation:

I WILL GIVE BRAINLIEST IF YOU ANSWER THIS QUESTION CORRECTLY

Answers

The answer is $3971. There are 209 members and each one gets one of each item. Add the costs of one of each item to get $19 per person. Then multiply $19 by 209 people and you get $3971 for everyone.

It is $17 for each person. ($10 + $3 + $2 + $2 = $17) So you do 17 x 209 = $3,553. So the answer is $3,553 dollars to pay for everyone.

ANSWERS ASAP!!

Howdy everyone! I need help with these 3 math problems by just filling the numbers 4-19!! I'm sorry but I really need help!! Please don't answer random dumb questions for the points, be kind and actually help me!

Answers

Answer:

4. 2a

5.  3

6. 10

7. 2

8. 2

9. 5

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

there

What would be the gravity in relation to Earth of a planet with 3.4 times the gravity of Mercury

Answers

Answer:

t is 3.055.<-not a decimal just a period

Step-by-step explanation:

order the following number from least to greatest 0.85, 0.92, 8/9​

Answers

Answer:

0.85, 8/9, .92

Step-by-step explanation:

8/9 = .88

Find the slope of the line.
On a coordinate plane, a line goes through (2, 0) and (6, 1).
a.
4
c.
One-fourth
b.
Negative one-fourth
d. 4

Answers

Answer: C 1/4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

edge 2021

4hours and 12mins - 1hr and 26mins plz help i need a anwser

Answers

1 hour and 34 minutes
4 hours and 12mins- 1 hour and 26 minutes

We know,

1 hour = 60 minutes

Then 4 hours = 4×60= 240 minutes

So 4 hour and 12 minutes :

= 240+ 12 mins

= 252 minutes

1 hour 26 minutes

=60 + 26 minutes

= 86 minutes

Now we're ready to subtract!!!

252 minutes- 86 minutes

=166 minutes

= [tex]\huge{\red{\bold{\boxed{2hour\:46minutes}}}}[/tex]

Hi! If you know geometry well can you tell me if I am correct before I continue? I chose 3.5 because the length of both lines seem congruent.

Answers

Answer:

yes you are correct

Step-by-step explanation:

The scale on a map is 5cm=25miles. Kyle measured the distance from his house
to the store and it was 13cm. How many miles away is the store from Kyle's
house?

Answers

Answer:

65 cm

Step-by-step explanation:

The unit rate of the scale is 1cm=5miles

so you would multiply 13 cm by 5 miles to get 65cm

Answer:

65 miles

Step-by-step explanation:

25 divided by 5 = 5

13 x 5 = 65

The example below should give you a linear equation in which format: An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. The plane’s height and minutes above the ground are related to each other. is this Slope-Intercept, Point-Slope Form, or Standard Form

Answers

Answer:

Slope Intercept

Step-by-step explanation:

Rewrite the point-slope form of the equation y − 725 = 12( x −50 ) in slope-intercept form. What does the y-intercept represent in terms of the situation? Explain.

Answers

Answer:

Point-slope form

y-b = m(x-a)

y- 725 = 12(x -50)

y -725 = 12x -600

  +725         +725

Slope Intercep form

y = mx + b

y = 12x + 125

Step-by-step explanation:

The slope- intercept form is y = 12x + 125 and the y- intercept is 125.

What is slope- intercept ?

The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable.

Given:

y − 725 = 12( x −50 )

Now, arranging in the form of slope- intercept form

y- 725 = 12 x - 600

y = 12x - 600 + 725

y = 12x + 125

as, the slope intercept form is

y= mx + b

Hence, the y- intercept is  125

Learn more about slope- intercept here:

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I'm nit exactly sure how to solve this anyone got a clue ​

Answers

Answer:6

Step-by-step explanation:

23=5x-7

1.Yesterday, there were 10 problems assigned for math homework. Sedrick did 80%
of them correctly. How many problems did Sedrick get right?

Answers

Answer:

8

Step-by-step explanation:

[tex] \frac{80}{100} \times 10 = 8[/tex]

Answer in picture please solve

Answers

Answer:

n=-6

Step-by-step explanation:

2(n+5)=-2

2n+10=-2 (distribute the 2)

2n=-12 (subtract 10 from left, add it to right)

n=-6

Problem One please I know the first one just can’t figure out the second if you can help I appreciate it.

Answers

Answer: Sorry um can you pick word or they give you some words?

Step-by-step explanation:

??

3.6 X 1.5m/s^2 I will give you brainiest but explain

Answers

Answer:

mx x 5.4 over s2

Step-by-step explanation

You have to multiply the fraction then

multiply the numbers.

The first step in solving the equation 5+|2x−4|=9 is to isolate the absolute value expression. What is the first step to isolate the absolute value expression? Divide both sides of the equation by 2. Subtract 9 from both sides of the equation. Subtract 5 from both sides of the equation. Add 4 to both sides of the equation.

Answers

Answer:

Subtract 5 from both sides of the equation.

Step-by-step explanation:

Given the function:

[tex]5+|2x-4|=9[/tex]

First step to solve the above equation is to isolate the absolute value function i.e. one side(either Left Hand Side or Right Hand Side) of equation must contain the terms containing the absolute function only.

In Left Hand Side, we have the absolute value function added to 5.

If we subtract 5 from both the sides, we get:

[tex]5+|2x-4|-5=9-5\\\Rightarrow |2x-4|=4[/tex]

So, after "subtracting 5 from both sides of the equation", the absolute function gets isolated on the left hand side of the equation i.e. Left Hand Side contains the absolute value function only.

Answer:

I just finished the Quiz and the Correct answer is "Subtract 5 from both sides of the equation"

Step-by-step explanation:

find the value of z and z plus 45

Answers

Answer:

Z=54 And Z+45=99

Step-by-step explanation:

What is the y-intercept of the function f(x)= - 2/9x + 1/3

Answers

Answer:

y intercept is 1/3

Step-by-step explanation:

Tell whether the following questions are biased or fair. Rewrite biased questions as fair question.
Do you eat at least the recommended number of servings of fruits and vegetables to ensure a healthy and long life?

Answers

Answer:

this aint no math question

Step-by-step explanation:

Answer/Step-by-step explanation:

Biased; How many serving of fruits and vegetable do you eat

~Learn with Lenvy~

pleaseee!! i need help.

Answers

Answer:

n can be all numbers.

Step-by-step explanation:

Expand 3(n-2)+14

3n+8-8=3n+8-8

Simplify

3n=3n

Subtract 3n from each side

3n-3n=3n-3n

Simplify

0=0

All numbers work for n.

Hope this helped! :)

The and age of each child in a random sample of children was recorded The value of the correlation coefficient between height and the children in the sample was 0.8 . Based on the line created from the data to the height of a child based on age which of the following is a correct statement ?

Answers

Options :

A.) On average, the height of a child is 80% of the age of the child.

B.) The least-squares regression line of height versus age will have a slope of 0.8.

C.) The proportion of the variation in height that is explained by a regression on age is 0.64.

D.) The least-squares regression line will correctly predict height based on age 80% of the time.

E.) The least-squares regression line will correctly predict height based on age 64% of the time.

Answer:

C.) The proportion of the variation in height that is explained by a regression on age is 0.64.

Step-by-step explanation: from the scenario stated above, The correlation Coefficient R = 0.8, which shows the strength of relationship between age and height of children. From the value of correlation Coefficient Given, we can obtain the Coefficient of determination (R²) which gives the percentage of Variation which can be explained by the regression model.

Hence the Coefficient of determination (R²) = 0.8² = 0.64. Hence, the proportion of variation in height of children which can he due to age is 0.64 while 0.36 can be based on other factors.

Based on the line created from the data to the height of a child based on age the correct statement is given by: Option C.) The proportion of the variation in height that is explained by a regression on age is 0.64.

How can we get to know the variability of one variable to other from correlation coefficient?

For that, we can use the coefficient of determination.

The coefficient of determination is square of correlation coefficient and thus, ranges from 0 to 1.

The coefficient of determination tells for unit variation in one variable will lead to how much variation in other variable and vice versa.

Let we take:

X = age of children of the sample considered

Y = height of children of the sample considered

Then, as it is given that:

[tex]r(X, Y) = 0.8[/tex]

Thus, the coefficient of determination is: [tex]r^2 = 0.8^2 = 0.64[/tex]

Thus, we get that 0.64 of the variation in the height is explained by the age of the children.

Thus, the true statement is:

Option C.) The proportion of the variation in height that is explained by a regression on age is 0.64.

Learn more about coefficient of determination here:

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PLEASE HELP
Select the correct answer.
What is the slope of the line that goes through the points (1.-5) and (4.1)?
A.-4/3
B.-3/4
C.1/2
D.2

Answers

Answer:

2

Step-by-step explanation:

Slope = ( y2-y1) / (x2-x1)

= (1- (-5)) / (4-1)

= (1+5) / 3

= 6/3

= 2

The slope of the line that goes through the points (1.-5) and (4.1) will be 2. Option D is correct.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. A straight line is a combination of endless points joined on both sides of the point. A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0. The slope 'm' of any straight line is given by:

m =(y₂-y₁)/(x₋-x₁)

It is given that, the line that goes through the points (1.-5) and (4.1).

(x₁,y₁) = (1.-5)

(x₂,y₂)= (4.1)

m =(y₂-y₁)/(x₋-x₁)

m= (1- (-5)) / (4-1)

m= (1+5) / 3

m= 6/3

m= 2

Thus, the slope of the line that goes through the points (1.-5) and (4.1) will be 2. Option D is correct.

Learn more about the slope here:

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What is the value of x in the proportion below?

StartFraction 180 kilometers over 3 hours EndFraction = StartFraction 540 over x EndFraction
6
9
12
60

Answers

Answer:

9

Step-by-step explanation:

steps are = to 9

Answer:

What is the value of x in the proportion below?

StartFraction 180 kilometers over 3 hours EndFraction = StartFraction 540 over x EndFraction Option  B

(B) 9             100% Answer    

Step-by-step explanation:

Sometimes outliers can have a significant effect on statistics, and sometimes they don’t. Use the following distribution to determine which statistics are affected by outliers. Round to the nearest hundredth.

2, 4, 5, 7, 8

Find the median of the distribution. fill in the blank 1

Find the mean of the distribution. fill in the blank 2

Find the standard deviation of the distribution. fill in the blank 3

Make a new distribution consisting of the same first four numbers, but change the 8 to 800. Find the mean, median, and standard deviation.

Mean fill in the blank 4

Median fill in the blank 5

Standard Deviation fill in the blank 6

Which statistic was least changed by the outlier of 800?
_________

PreviousNext

Answers

Mean is 5.2, median is 5 and S.D is 2.135

Given data 2, 4, 5, 7, 8

We need to find mean, Median and standard deviation

What is mean and Median?

Mean = Sum of Observations/ Number of observations

Median=Middle most Number when arranged in a sequence

Mean = (2+4+5+7+8)/5=26/5=5.2

Median= 5

Standard deviation:

S.D=∑(x- bar)^2/N

To find sD

Subtract mean from each value

2-5.2=-3.2

4-5.2=-1.2

5-5.2=-0.2

7-5.2=1.8

8-5.2=2.8

Square each of those differences

-1.2*-1.2=1.44

-3.2*-3.2=10.24

-0.2*-0.2=0.04

1.8*1.8=3.24

2.8*2.8=7.84

Determine the average of those squared numbers to get the variance.

1.44 + 10.24 + 0.04 + 3.24 + 7.84 = 22.8

Average = 22.8/5=4.56

To find the standard deviation make square root of variance

2.135

Therefore Mean is 5.2, median is 5 and S.D is 2.135

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Jacki evaluated the expression below. 2 cubed (3 minus 1) + 4 (8 minus 12) = 2 cubed (2) + 4 (4) = 8 (2) + 16 = 16 + 16 = 32. What was Jacki's error?

Answers

Answer:His error lies in  the subtraction of 12 from 8 , he wrote 4 instead of -4 , as 8-12 gives -4 instead of 4.

Step-by-step explanation:

Step 1

Rewriting this to a mathematical expression 2 cubed (3 minus 1) + 4 (8 minus 12) and solving correctly gives

2³(3-1)+ 4(8-12)

=8(2) + 4(-4)

= 16 +(-16)

16-16=0

Step 2-----Jacki's evaluation

2³(3-1)+ 4(8-12)

 = 2³(2) +4(4)

= 8(2) +16= 16+ 16 =32

His error lies in  the subtraction of 12 from 8 , he wrote 4 instead of -4 , as 8-12 gives -4 instead of 4.

Answer:

C

Step-by-step explanation:

I took the test ;)

Can these three side lengths make a triangle? (Hint: use the Triangle
Inequality Theorem)*

Answers

Answer:

No

Step-by-step explanation:

Triangle inequality theorem : Any side of a triangle must be shorter than the other two sides added together.

Let's check if this theorem holds good with these side lengths

3< 9+5 (holds good)

5< 9+3 (holds good)

9< 5+3 (does not hold good)

So, these 3 sides cannot make a triangle

Other Questions
Fill in the blanks by typing in the correct demonstrative adjective. Some hints are provided to help you. ( Will Mark Brainliest and Look at the picture). Check to see if each of the sentences below is formal, including the verbs. If a sentence is not formal, make it formal.1.tenga cuidado con el yeso en su brazo2.No puedes utilizar tu brazo a cocine3.Para evite que le duela el brazo, tome el medicamento4.mientras ests en casa, deja que tus padres te cuiden Im having trouble solving this problem, please help! which event between the fall of the Alamo and the victory at San jacinto. A holiday massacre. B Battle of Gonzales. C Battle of velasco. Or D siege San Antonio ON YOUR OWNExpress the following in numerals. Remember to leave a space aftereach period.(a) Thirty-two thousand four hundred one(b)Ninety thousand twelve(c) Sixty-five thousand eight hundred ten(d) One hundred thousand Find the values for x and y.Answer plz Find the sum of the interior angle measures of a convex 20-gon (a twenty-sided polygon). Why do scholars believe that Shakespeare attended the grammar school in Stratford The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches Two whole numbers have a least common multiple of 60. -Each number is less than or equal to 12. -The greatest common factor of the two numbers is 2. What are the two numbers? There are 8 and 2 over 3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 and 1 over 5 pounds. This would fill and 4 over 18 containers. (3 points) Write the following math problem in Spanish words. 2+1+5=8 Emma bought 17 packages of rolls for a party. There were 18 rolls in a package. After the party there were 8 rolls left over. How many roles were Eaten All sides of the figure are equal what is the perimeter of the figure The sum of 3 numbers in an ap is -3 and their product is 24 find the number solve the following exponential equations. Graph x > 5Circle would be a. openb. closedArrow would be pointed c. left d. right Which number is the additive inverse of -10 1/4?A. 0B.-4 1/10C.4/41D.10 1/4 Which is a better buy? 3 candy bars for $0.30 each or 3 candy bars for $1.50? Both hexokinase IV and hexokinase I phosphorylate glucose at carbon-6. What properties of hexokinase IV make it important for maintaining stable blood sugar levels