MATHEMATICS MIDDLE SCHOOL

Use the distance formula to find the distance between (1 3) and (-2 9) rounded to the nearest hundredth

Answers

Answer 1
Answer:

Answer:

D = 6.71

Step-by-step explanation:

The distance formula is D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }

Decide which point will be Point 1 and Point 2.

Point 1: ( 1,3 )          x₁ = 1     y₁ = 3

Point 2: (-2, 9)       x₂ = -2   y₂ = 9

Substitute the information into the formula.

D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }

D = \sqrt {(-2 -1)^(2) +(9 -3)^(2) }    Simplify within the brackets

D = \sqrt {(-3)^(2) +(6)^(2) }   Square each number

D = \sqrt {9 +36 }     Add

D = \sqrt {45 }   Exact answer as a radical (root number)

D = 6.708....    Answer in decimals

D = 6.71   Rounded answer to nearest hundredth

The nearest hundredth is the second place value. It rounds up because the value after it is "8", which is greater than 4.
Answer 2
Answer:

Final answer:

The distance between the points (1, 3) and (-2, 9) can be found using the distance formula in geometry. The entire sequence of calculation results in the square root of 45 which, rounded to the nearest hundredth, would be approximately 6.71.

Explanation:

The distance formula is a tool in geometry that can be used to find the distance between two points in a coordinates plane. Given two points (x1, y1) and (x2, y2), the formula is:

Distance = sqrt((x2-x1)² + (y2-y1)²)

Applying this formula to find the distance between the points (1, 3) and (-2, 9) would look like this:

Distance = sqrt(((-2)-1)² + (9-3)²)

Distance = sqrt((-3)² + 6²)

Distance = sqrt(9 + 36)

Distance = sqrt(45)

Then, if we round to the nearest hundredth, the distance would be approximately 6.71.

Learn more about Distance Formula here:

brainly.com/question/11231122

#SPJ3

Related Questions

If there are 10 apples, and you take 4, how many do you have?
Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.
Celeste wants to have her hair cut and permed and also go to linch. She knows she will need $77. The perm costs twice as much as her haircut and she needs $5 for lunch. How much does the perm cost
Find the equation of the axis of symmetry for the parabola y=x^2-2x
Whats 72x43 in the standard algorithm

Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is on who random shuffle mode the probability that it will be to play a classical piece is 2/5 and the probability that it will play a jazz piece is 1/3. How many songs of each type are on jacks music player?

Answers

2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.

I really need him on this please help me asap!Peter needs to determine how many birthday candles his family will need this month. Peter celebrates his birthday on the 5th and his twin sisters celebrate theirs on the 9th. Each person will have their own cake. What is the MOST appropriate word model for this problem?


A. Peter’s Age × One Twin’s Age = Total Candles Needed


B. Peter’s Age + One Twin’s Age = Total Candles Needed


C. Number of Candles in a Typical Box – Peter’s Age = Candles Needed


D. Peter’s Age + Two Times One Twin’s Age = Total Candles Needed

Answers

The answer is D because you are adding how many candles for whatever peters age is and since the twins are both the same age and get their own cake and the same amount of candles you multiply it by two

Answer:

D. Peter’s Age + Two Times One Twin’s Age = Total Candles Needed

What fraction of a gallon is a quart

Answers

The answer is 1/4 since 4 quarts make 1 gallon.
1 quart is equal to 0.25 gallons.
Therefore a gallon is 25/100, 5/20 or 1/4 of a quart.

(8 : 4) : 2 = 8 : (4 : 2)
O
True
O
False​

Answers

False
Step by step equation

How do I factor out the coefficient of the variable -5p+20

Answers

-5(p-4)

think of dividing each term by whatever you're factoring out, so the -5/-5 becomes a 1, and the +20/-5 becomes -4

Write the ratio in three different formats: In a year, there are 4 months that have 30 days. Write a ratio of the months with 30 days to the months with other than 30 days. A.1 to 3, 1:3, 1/3B.1 to 2, 1 :2, 1/2C.2 to 1, 2:1, 2/1
D.3 to 1, 3:1, 3/1

Answers

This problem is an example of ratio and proportion. A ratio is a comparison between two different things. You are given 4 months that have 30 days. You are required to get the ratio of the months with 30 days to the remaining months that have a different number of days. First, you will get the ratio as 4/30 = 2/15. Assuming that the other months also has 30 days. Then the second ratio is 8/30 = 4/15. Multiply 2/15 to 15/4 you will get ½. Other forms of this is 1:2 or 1 is to 2. The answer is B.
so find the amount of months that don't haave 30 days
12 months total
4 have 30 days
12-4=8
so the ratio of months that have 30 days to the months that do not havve 30 days is 4 to 8 or 4:8
this can be simplified like a fraction
4:8  4/8=1/2
ratio is
1 to 2, 1:2, 1/2

answer is B
Other Questions
0.34+0.1+0.25 use benchmarks to estimate
Estimate the quotient by rounding the expression to relate to a one digit fact
The world's fastest insect is the dragonfly,which can fly upto 36 miles per hour.At this rate,how long would t take a dragonfly to travel 54 miles?
Can someone put this in order greatest interest amount to least