On the coordinate plane shown below, points and have coordinates and , respectively. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points and on a coordinate plane. Use complete sentences to describe the strategy. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations. Use the distance formula and the coordinates of points and to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete because the image is missing. However, I have attached an image from Lumen learning to help you understand how to calculate the difference between two points on a straight line graph.
Given two points (x1,y1) and (x2,y2) on a straight line graph as shown in the image attached, a straight line drawn to join the two points gives the distance between the two points. This line drawn to join the points becomes the hypotenuse of a triangle ABC.
Given that;
(x2-x1) =a
(y2-y1)=b
distance =c
Recall that Pythagoras's theorem states that;
[tex]c= \sqrt{a^{2} + b^{2} }[/tex]
Then, according to Pythagoras's theorem;
c =√(x2-x1)2 + (y2-y1)2)
Simply put;
c=√(difference between abscissae)2 - (difference between ordinates)2
You can now substitute values and obtain a numerical result.
Related Questions
Need help answering 25pts ?
Answers
Answer:jnvjdfsStep-by-step explanation:
,vjkhfdsjhfjlsdhjkfDhjkdmnf,sdnfjdf
a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min
Answers
Answer:
estimated number of pages it can print will 80 in 1 min.
Step-by-step explanation:
If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.
we get
12/9 then multiply by 60 you will get 80 pages in 1 minute.
Number of pages a printer can print in 9 seconds = 12 pages
Number of pages than can be printed in 1 second =
= 12/9
= 1.3 pages
Number of pages that can be printed in 1 second = 0.75 page
Number of pages that can be printed in 1 minute =
= 1 minute = 60 seconds
Number of pages that can be printed in 60 seconds =
= 1.3 × 60
= 78 pages
Rounding off 78 , we get 80 .
Therefore , 80 pages can be printed in 1 minute .
Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.
Answers
Answer:
-1/2
Step-by-step explanation:
2x-y=-8 --> y=2x+8 (slope: 2)
to be perpendicular, the product of two slopes should be -1
thus, the slope of a line perpendicular to this one is -1/2
What is the least common multiple (LCM) of 5 and 20?
Answers
Answer:
5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
When you make a list it will look something like this::
5-5,10,15,20
20-20
In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed?
Answers
400=9x
X=44.444 so about 44 people would not like the movie
y’all tryna help me :/
Answers
Answer:
4.12
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 + 64 = 81
-64 -64
a^2 = 17
square root of 17 = 4.12310
round to the nearest hundredth 4.12
A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?
Answers
Answer:
Profit = $18.8 per meal
Step-by-step explanation:
Chef ordered beef = 4 pounds
Cost of beef = $3.25 per pound
Total cost of beef = 4 × 3.25 = $13
Amount of potatoes ordered = 6 pounds
Cost of potatoes = $1.96 per pound
Total cost of potatoes = 6 × 1.96
= $11.76
Amount of carrots ordered = 5 pounds
Cost of carrots = $1.81 per pound
Total cost of carrots = 5 × 1.81 = $9.05
Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05
= $33.81
Number of meals prepared with material purchased = 28
Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075
Selling price of one meal = $20
Profit per meal = Selling price - Cost price
= 20 - 1.2075
= 18.7925
≈ $18.8
Therefore, he will make $18.8 for each meal.
Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side?
Answers
Answer:
as below
Step-by-step explanation:
9/32=3/4 * y/x
becasue this is multiplication of fractions , its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32
y=3
x=8
so the answer is 3/8 mile
The length of the northern side of a rectangular plot is 3/8 mile.
Here,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot = 3/4 mile.
We have to find the length of the northern side.
What is Area of rectangle?
The area of a rectangle is product of length and width.
Now,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot ( width ) = 3/4 mile.
Let the length of the northern side ( length ) = x mile
So,
Area of rectangle = length x width
[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]
Hence, The length of the northern side of a rectangular plot is 3/8 mile.
Learn more about the area of rectangle visit:
https://brainly.com/question/28337358
#SPJ2
HELP PLEASE IS FOR TODAY
20 points
•Segment A'B' is closer to point C than segment AB.
•Segment A"B'" is closer to point C than segment A'B'
•Segment A'B' is farther from point C than segment AB
•Segment A"B'" is farther from point C than segment AB.
•Segment A"B" is farther from point C than segment A'B'
Answers
Answer:
It's A. segment A"B" is closer to segment C than segment A"B".
Step-by-step explanation:
−15 ÷ 5 =
A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.
Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.
Answers
Answer:
-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3
Answer:
The answer is A,C,D
Step-by-step explanation:
Just had the question :D
answer this please :(
Answers
Question 3 of 10
What is the slope of the line given by the equation below?
y + 2 = -3(x-5)
A. -5
B. 3
C. -3
D. 2
Answers
Explanation:
Please give brainliest
If 2x = 10, find the value of 1 - 2x
Answers
Answer:
2x=10
divide by 2
x=5
1-2x
1-2(5)
1-10
answer is -9
Answer:
-9
Step-by-step explanation:
First solve the equation, 2x=10 to get the value of x
2x = 10
x = 10÷ 2
x= 5
now, put this value of x in the expression 1-2x
1 - 2x
= 1- 2(5)
= 1- 10
= -9
(5x+2x^2-3)-(6+x^2-8x)
Answers
Answer:
13x + x^2 - 9
Step-by-step explanation:
You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1 13x + x^2 - 9.
A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost price = $5 per T - shirt
Markup = 150% or cost price
Every month which shirt doesn't sell, selling price drops by 25%
Selling price of Tshirt = (150% * $5) = $7.5
Price after 1 month = (100% - 25%) * $7.5 = $5.625
Hence, the equation could be expressed as :
Price after one month:
(1.5 * $5) - 0.75 * (1.5 * $5)
7.5 - 0.75(7.5)
Answer:
($5)(2.50) – ($5)(2.50)(0.25)
7/11 ÷ 21/55 pls help me
Answers
9514 1404 393
Answer:
5/3
Step-by-step explanation:
You can divide fractions a couple of ways:
1. Invert the denominator and multiply
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{7}{11}\times\dfrac{55}{21}=\dfrac{55\cdot7}{11\cdot21}=\boxed{\dfrac{5}{3}}[/tex]
2. Make both fractions have the same denominator and use the ratio of their numerators
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{35}{55}\div\dfrac{21}{55}=\dfrac{35}{21}=\boxed{\dfrac{5}{3}}[/tex]
I'm soooo freakin' bad at math bruh....someone please help :/
28. Which of the following pairs of integers will give you a sum of −12 and a product of 35?
a. −6, −6
b. −4, −8
c. −5, −7
d. 5, 7
29. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have?
a. 7 nickels, 4 dimes
b. 12 nickels, 9 dimes
c. 13 nickels, 10 dimes
d. 6 nickels, 12 dimes
30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions.
a. 2 in. by 11 in.
b. 4 in. by 9 in.
c. 3 in. by 12 in.
d. 2 in. by 18 in.
Answers
29. B (12 nickels, 9 dimes) 60+90
30. C (width=3 in) (length=12 in) (3)(12)=36in^2
Math helppppppppppp
-0.05/ -5/8
6 1/4/ -5/16
-3/5 / 2 1/4
-9/10/ 1 3/5
Answers
Answer:
1) 0.08
2) -20
3) -4/15 or -0.26 repeating
4) -9/16 or -0.5625
how do you add two areas together
Answers
Answer:
You would just add them like normal
Step-by-step explanation:
x/8 -4 =7/16 x=
PLEASE HELP I WILL MARK BRAINLIEST
Answers
Answer:
Exact form: x = [tex]\frac{-64}{5}[/tex]
Decimal form: x = -12.8
Mixed number form: x = -12[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
hope this helps :)
Answer:
x = - [tex]\frac{64}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )
2x - 64 = 7x ( subtract 2x from both sides )
- 64 = 5x ( divide both sides by 5 )
- [tex]\frac{64}{5}[/tex] = x
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
WILL GIVE BRAINIEST IF RIGHT :)
A three and one fourth + 2x ≤ 6
B three and one fourth + 2x ≥ 6
C three and one fourthx + 2 ≤ 6
D three and one fourthx + 2 ≥ 6
Answers
Answer:
option 2 is correct-three and one fourth + 2x ≥ 6.
Write the sentence as an inequality.
10 times a number x plus 6 is no less than 42.
Answers
Answer:
10x + 6 ≥ 42
Step-by-step explanation:
On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.
Answers
Answer:
43
Step-by-step explanation:
Answer:
43 is what I would say
Step-by-step explanation:
step by step
please help! i need a circular flow model for amazon done and i have no idea how to do it! if somebody can make one for me it will be greatly appreciated!!
Answers
Answer:
Ill do it
Step-by-step explanation:
It costs my whole life insurance, 24,00 dollars, a brand new private jet, and gummy bears
The volume of a pyramid, V, is calculated using the formula V = 1/3AH, where A is the area of the base and
H is the height of the pyramid.
What is the base area of a pyramid with a volume of 72 m3 and A height of 12m?
Answers
Answer:
Step-by-step explanation:
V=(1/3)(B)(h)
multiply both sides by 3
3V=Bh
divide both sides by B
3V/B=h
Answer:
rearranged foruma: V3/H
base area:
A=18m^2
Step-by-step explanation:
Look at image Please help I’m struggling
Answers
Answer:
.75 per 1 apple
Step-by-step explanation:
A unit rate has only 1 of the item in the denominator
12 apples and 4 apples are not 1 of the item
$.75/ 1 apple is a unit rate
have a good day
DOES ANYONE KNOW THE ANSWER TO THIS???
Answers
B) 5/2
Hope this helps
If you answer I will give brainliest.
How many km did a bird travel if it flew at a speed of 55 km/hr for 35 hours? *
A 1.6 km
B 0.6 km
C 18.3 km
D 1,925 km
Answers
D. 1,925 km
Multiply 55 with 35 --> 1,925 km/35hrs
Answer:
D
Step-by-step explanation:
55*35=1925
Use the given line and the point not on the line to
answer the question,
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
O (-3.6,0)
O (-2, 0)
O (0, -3,6)
O (0, -2)
Answers
Answer:
It's the third one, (0,-3.6)
Step-by-step explanation:
Jared makes $990 per week at his job. He is asking to have his pay increased by $110 per week. If he gets the pay increase, what will his weekly pay be?
Answers
Answer:
$1100 per week
Step-by-step explanation:
Amount made per week = $990
Increase amount per week = $110
Unknown:
What will be his weekly pay per week = ?
Solution:
His weekly pay per week will be = amount made per week + Increase
= $990 + $110
= $1100
He now makes $1100 per week.