For a right triangle with coordinates (1,4),(4,4),(1,8), explain why both the distance formula and the Pythagorean Theorem can be used to find the length of the hypotenuse.

Answers

Answer 1
You can use the distance formula to find the length of the hypotenuse which is the distance between the points (4,4) and (1,8). You can also use the Pythagorean theorem by subtracting 8 from 4 to get 4. Points used are (1,8) and (1,4). You then find the difference between the x values of the points (1,4) and (4,4) which is 3 so now you can solve for the hypotenuse C since you have the lengths of the two legs which are 4 and 3. So you could then use a^2+b^2=c^2 which would then turn into 4^2+3^2=c^2 and you just solve that out to get the length of your hypotenuse.

Related Questions

Dana skates for 20 seconds.how many laps will she skate?

Answers

If she skates at a rate of 1 lap per 40 seconds, she would skate 1/2 of a lap in 20 seconds. hope this helps:)

Which of the following represents a value greater than 50,000 but less than 60,000

Answers

Any number between either of those

Find the value of x.

Answers

Step-by-step explanation:

x=20

x aris is stright .right?

The endpoints of AB are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1
The coordinate of point P is

Answers

Answer:10

Step-by-step explanation:

Answer and Step-by-step explanation:

Sol: the ratio formula is

x-x1/x2-x = ratio     and    y-y1/ y2-y= ratio

x-(-7)/0-x=2/1          and    y-17/0-y=2/1

x+7=2(-x)                   and   y-17 = -2y

x+2x=-7                    and y+2y =17

3x=-7                       and 3y = 17

x=-7/3                   and y= 17/3

coordinates of point p that partition the segment in ratio is (-7/3, 17/3)

The midpoint formula is:

M= (x1+x2/2,        y1+y2/2)

  = (-7+0/2,          17+0/2)

   = (-7/2,           17/2) are the midpoint of AB.

Find the value of each expression.
-5 -9 -13

Answers

Answer:

-27

Step-by-step explanation:

-5-9=-14

-14-13=-27

Laura says that the distance between (4,-2) and (4,-7) in the coordinate plane is equal to |-2-(-7)|units Ryan say that the distance between (2,3) (-9,3) in the coordinate plane is equal to |2+9| units is either Laura or Ryan correct explain

Answers

Answer:

Both are correct.

Step-by-step explanation:

In the point (4,-2) and (4,-7), the x-coordinates are same. So, the distance between these points is the absolute difference between the y-coordinates of these points.

[tex]Distance=|-2-(-7)|=5\text{ units}[/tex]

So, Laura is correct.

In the point (2,3) and (-9,3), the y-coordinates are same. So, the distance between these points is the absolute difference between the x-coordinates of these points.

[tex]Distance=|2-(-9)|=|2+9|=11\text{ units}[/tex]

So, Ryan is correct.

Hence, both are correct.

Order the numbers from least to greatest. 9 9/13, 9.72, 9 3/4, 9.74, 9 5/7

Answers

Answer: 9 9/13, 9 5/7, 9.72, 9 9.74, 9 3/4

Find the 5th term of (m + 2)^9

Answers

Answer:

=2016x5

Step-by-step explanation:

(x+y)n=∞∑r=0~nCrxn−ryr is given by

Tr+1=~nCrxn−ryr.

Hence T5=T4+1=~9C4x9−4⋅24

=9!(9−4)!4!⋅x5⋅16

=2016x5

solve for the indicated variable A=r+rvf for v

Answers

Answer:

[tex]v = \frac{A - r}{rf}[/tex]

Step-by-step explanation:

Given

[tex]A = r + rvf[/tex]

Required

Solve for v

[tex]A = r + rvf[/tex]

Subtract r from both sides

[tex]A - r = r - r + rvf[/tex]

[tex]A - r = rvf[/tex]

Divide both sides by rf

[tex]\frac{A - r}{rf} = \frac{rvf}{rf}[/tex]

[tex]\frac{A - r}{rf} = v[/tex]

Reorder the expression

[tex]v = \frac{A - r}{rf}[/tex]

At this point, we;ve solved for v

An object is moving at a speed of 230 feet per week. Express this speed in inches per minute. Round your answer to the nearest hundredth

Answers

Answer:

0.02 inches per minute

Step-by-step explanation:

1 Week = 10080 minutes

Formaul: multiply the time value by 10080  to find the minutes in a week or do it the long way 60x24x7 = 10080

230/10080 = 0.02281746031 or 0.02 rounded to nearest hundert.

Translate: 7p. Select all that apply. *
7 times p

the product of 7 and p

7 multiplied by p

the sum of 7 and p

7 minus p.

Answers

Answer: 7 times p

the product of 7 and p

7 multiplied by p

Step-by-step explanation: anything that has to do with multiplying the two is correct

what is the difference between union set and universal set​

Answers

Answer:

Universal set is a set which contains all values

Union of Sets : The joining of two or more sets  .

Step-by-step explanation:

plzz help will give branlisest

Answers

The 2 one is the best option

Answer:

h,  negative,  negative

Please help I don’t want to fail

Answers

Just divide x = 6.17

Simplify. 4−16÷4+42 −16 13 15 16

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ First split the equation in little pieces and solve them:

  ✧ 4 - 16 = -12

  ✧ 4 + 4² = 20 (4² = 16)

✦ Now divide them:

  ✧ -12 ÷ 20 = -0.6

So I'm guessing you're trying to simplify 4²... so it'd be 16 because none of the choices are the simplified version of the problem.

~Hope this helps Mate. If you need anything feel free to message me.

Tim's bean sprout grew 3/ inches. Teegan's bean sprout grew 2 3/4 inches. How many more inches did Tim's bean sprout grow than Teegan's? First, estimate the difference mentally and explain your reasoning. Then find the actual difference.

Answers

Answer:

Tim's bean sprout grow by more than [tex]\frac{5}{8} \text{ inches}[/tex].

Step-by-step explanation:

We are given that Tim's bean sprout grew 3 3/8 inches. Teegan's bean sprout grew 2 3/4 inches.

We have to find how many more inches did Tim's bean sprout grow than Teegan's.

Firstly, converting both the mixed fractions in improper fraction get;

Tim's bean sprout grew = [tex]3\frac{3}{8}[/tex] = [tex]\frac{27}{8} \text{ inches}[/tex]

Teegan's bean sprout grew = [tex]2\frac{3}{4}[/tex] = [tex]\frac{11}{4} \text{ inches}[/tex]

Since the denominator of both the fractions is not the same, so we can't compare them both as which is larger or smaller.

Tim's bean sprout grew = [tex]\frac{27\times 1}{8\times 1} = \frac{27}{8} \text{ inches}[/tex]

Teegan's bean sprout grew = [tex]\frac{11 \times 2}{4\times 2}=\frac{22}{8} \text{ inches}[/tex]

Now, we can clearly see that Tim's bean sprout grew more than Teegan's bean sprout.

So, Tim's bean sprout grow by more than = [tex]\frac{27}{8}- \frac{22}{8}[/tex] = [tex]\frac{5}{8} \text{ inches}[/tex]

Hence, Tim's bean sprout grow by more than [tex]\frac{5}{8} \text{ inches}[/tex].

Solve problem
-3|x-9| ≥-21

Answers

Answer:

x≥-48

Step-by-step explanation:

-3x-27 in absolute value equals 3x+27 is greater than or equal to -21, x is greater than or equal to -48

What is the domain of the following relation?{(5,0),(-8,9),(4,-7),(7,-8)

Answers

The domain is just the x values.

Domain: -8,4,5,7

2/9[9÷(7-5)]

what's the answer? ​

Answers

Answer:

1

Step-by-step explanation:

According to the order operations, you must first do what is in parenthesis. 7-5.

Then, do the exponents.

Then, do multiplication and devision.

Then addition and subtraction.

Therefore, the answer is 1.

Given f(x)= 15x + 35, what is the domain of f?

Answers

Answer:

Domain : ( - ∞, ∞)

Step-by-step explanation:

The graph travels both directions infinitely.

Answer:

The domain of f is ALL REAL NUMBERS.

The range of f is also ALL REAL NUMBERS.

Step-by-step explanation:

a − 2 + 3 = −2 multi step equation

Answers

Answer:

a = -3

Step-by-step explanation:

a − 2 + 3 = −2

Combine like terms

a+1 = -2

Subtract 1 from each side

a+1-1 = -2-1

a = -3

Answer:

a-2+3=-2

a+1=-2

a=-2-1

a=-3

Which expressions are equivalent to -6 + 49 + (-60)?

Answers

Answer:

-17

Step-by-step explanation:

-6+49+(-60)

-6+49-60

49-6-60

43-60

-17

Hope this helps ;) ❤❤❤

What is 34 by divide 5780

Answers

Answer: 170

Step-by-step explanation:

If you’re looking for 5780 divided by 34 it’s 170. But if you wanted 34 divided by 5780 it’s 0.005882.

Im pretty sure the answer you’re looking for is the first one XD

Just remember that you always divide the big number by the smaller one :).

I hope you found my answer helpful! If you did, give it a thanks. You can even give it a brainliest if you feel like it ;D

YALL ANSWER ASAP PLEASE

Answers

The answer is here. You just multiply the fractions because of L • W

Keya is training for a duathlon competition comprised of running and biking. Her training involves running for LaTeX: RR minutes and biking for LaTeX: BB minutes. The expression LaTeX: 100R+300B100 R + 300 B is the total distance, in meters, that Keya travels during her training. If Keya runs for 30 minutes and bikes for 60 minutes, what is the total distance Keya travels?

Answers

Answer:

21000 meters

Step-by-step explanation:

100R + 300B

100(30) + 300(60)

3000 + 18000 = 21000

Answer:

21,000 meters

Step-by-step explanation:

Estimate the product. 8.2 × 4.93 Select the best estimate. 32 40 320 400

Answers

Answer:

the answer is 40

hope i helped

Jerry has 1/3 of a quart of ice cream left he is going to split the rest of the ice cream equally with his friend how much ice cream will each of them get ?

Answers

Answer:

1/6

Step-by-step explanation:

Can y’all help me I don’t get it

Answers

Answer:

1. <

2. >

3. >

Hope this helped!

Answer:

1. <

2. >

3. >

Step-by-step explanation:

You are an influencer on Instagram. Company A pays you
$5000 per post advertising their product. Company B pays you $2500 per post advertising their product.
You make 3 posts for Company A. How many posts do you have to make for Company B in order to earn
$25000 from advertising on Instagram?

Answers

Hi

3*5000 +X*2500 = 25 000

15 000 + 2 500X = 25 000

                2 500X = 25 000 - 15 000

                       2 500 X = 10 000

                               x = 10 000 / 2 500

                                 X = 100/25

                                   X = 4

You need 4 post for  B

3*5000 + 4* 2 500 =  15 000 + 10 000 = 25 000

the price of gravel is $24 for every 3/8 ton. Kate wants to know the price of 2 tons of gravel. at that rate, what is the price of 2 tons of gravel

Answers

Answer:

$128

Step-by-step explanation:

This problem is on rate.

firstly we have to find the rate at which 1 ton is sold

given that 3/8 ton is sold for $24

hence 1 ton will be sold for X

cross multiply

X = 24/3/8

inverse the denominator and multiply the result with the numerator we have

X= 24*8/3

X= $64

Now having found out that 1 ton cost $64

2 tons will cost =64*2

                         = $128

Therefore at this rate two tons will cost $128

Answer:128

Step-by-step explanation:

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