Answer:
The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).
D=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
D=(x2−x1)2+(y2−y1)2
Example
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−√=
D=(3−(−1))2+(4−1)2=
=16+9−−−−−√=25−−√=5
=16+9=25=5
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:
(x1+x22,y1+y22)
(x1+x22,y1+y22)
Step-by-step explanation:
To find the endpoint B given midpoint M and endpoint A, we use the coordinates of the midpoint formula and solve for the unknown values. Plugging the given values into the formula, we solve for B and find that the coordinates of B are (-5, 7).
Explanation:In this particular instance, we are working with the concept of midpoints on a coordinate plane. Given that the point M(-3,5) is the midpoint of the segment AB and A(-1,3) is one endpoint, we are tasked to find the coordinates of point B, the other endpoint.
The formula for the coordinates of the midpoint is [(x1+x2)/2 , (y1+y2)/2]. This finds the average of the x-coordinates and y-coordinates of the two endpoints to find the point exactly in between, or the midpoint.
Since we are given one endpoint A(-1,3) and the midpoint M(-3,5) and are asked to find the other endpoint B, we should set up the equation using the known values and solve for the unknown values. We know that (-3,5) should equal [(-1+x2)/2 , (3+y2)/2]. Solving for x2 (x-coordinate of B) gives us x2 = -3*2 + 1 = -5. Solving for y2 (y-coordinate of B) gives us y2 = 5*2 - 3 = 7. Therefore, the coordinates of B are (-5, 7).
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Manny fox’s charge account statement showed a previous balance of $550, a finance charge of $3, new purchases of $600, and a payment of $250. What is his me balance
550+ 3+600 -250=
add the finance charges and the purchases and subtract the payment
1153-250=
903
Answer:
903
Step-by-step explanation:
550+3+600=1,153
1,153-250=903
Stefano had $46 in a bank account that he was not using. Each month
for three months, the bank withdrew ¼ of this amount as a service fee.
How much was left in the account after the last withdrawal?
Final answer:
After three monthly withdrawals of ¼ of the account balance from Stefano's initial $46, he is left with $19.41 in his account.
Explanation:
To calculate how much money Stefano has left in the account after each monthly withdrawal of ¼ of the account balance, we will need to subtract ¼ of the balance three times, once for each month.
Initial amount in Stefano's account: $46
First withdrawal: 1/4 of $46 = $11.50 Stefano's balance after first withdrawal: $46 - $11.50 = $34.50
Second withdrawal: 1/4 of $34.50 = $8.625 Stefano's balance after the second withdrawal: $34.50 - $8.625 = $25.875
Third withdrawal: 1/4 of $25.875 = $6.46875 Stefano's balance after third withdrawal: $25.875 - $6.46875 = $19.40625
After the last withdrawal, Stefano has $19.41 in the account (rounded to the nearest cent).
Iona's favorite peaches are are $2.50 per pound at the local Farmers Market she bought 3.5 lb of peaches how much did she spend
Final answer:
Iona spent $8.75 on peaches after buying 3.5 pounds at $2.50 per pound at the local Farmers Market.
Explanation:
Iona's favorite peaches cost $2.50 per pound at the local Farmers Market, and she purchased 3.5 pounds of peaches. To calculate the total cost, we multiply the price per pound by the number of pounds purchased:
Total cost = Price per pound × Number of pounds
Total cost = $2.50 × 3.5
Total cost = $8.75
Therefore, Iona spent $8.75 for the peaches at the local Farmers Market.
What is the approximate area of the shaded sector in the circle shown below?
Alright, so first we find the area of the whole circle using pi r squared
12^2 pi = 144 pi
Now we use the proportions of the sector and the whole circle:
30:360 (degrees; we will be using the same for the other ratio)
= x:144pi
1:12 = x:144
This basically equals
12x = 144
x = 12, and now we multiply pi, so 12 x 3.14 = 37.7 cm^2.
The first option is correct.
Answer: a. 37.7
Step-by-step explanation: a p e x
-2.1 1.3 1.5 -1.2 -0.6 0.9 3.4 from least to greatest
-2.1 , -1.2 , -0.6, 0.9, 1.3 , 1.5 , 3.4
Hope this helps!
-2.1,-1.2,-.6,.9,1.3,1.5,3.4
Solve the equation for y
[tex]8 = 3x + 6y[/tex]
move variable to the left side and change its sign
-3x+8=6y
Move constant to the right side and change its sign
-3x=6y-8
Divide both sides of the equation by -3
x=-2y+8/3
In the problem 100 ÷ 25 = 4, the _____ is 100.
Answer:
dividend
Step-by-step explanation:
You are dividing 100 by 25. The '100' is referred to as the "dividend:" the quantity being divided by the divisor (25).
13*52 using the distributive property
Hello!
[tex]13*52=676[/tex]
Explanation: This question is super easy. This question it just like a order of operations. First you had to multiply by 52, 13*52= 676 is the right answer. Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie
rubin drew this diagram of his garden.how can you dividethe shape to find the area?
ANSWER
We can divide in to two rectangles as in the attachment.
We then find the area of each rectangle and add together.
The area of the bigger rectangle is
[tex]A_1= 4\times 8[/tex]
[tex]A_1= 32 m^2[/tex]
The area of the smaller rectangle i
[tex]A_2= 4\times 6[/tex]
[tex]A_2= 24 m^2[/tex]
Hence the area of the figure is
[tex]Area=32+24[/tex]
[tex]Area=56 m^2[/tex]
Answer:
Divide it into a square and a rectangle
The area is 56 m^2
Step-by-step explanation:
First, you have to divide the shape to get easier shapes to find the area. We are going to draw a line and we will get a square and a rectangle. This is in the attachment.
We know that to get the area of a square and a rectangle we use the formula:
A=b*h
where
A is the area
b is the base
h is the height
After drawing the line we get a square of 4m each side and a rectangle with b=10 m and h=4m.
Now we get the area of each of the shapes.
Square:
A = 4m * 4m
A = 16 m^2
Rectangle:
A = 10m * 4m
A = 40m^2
Now we add the area of the rectangle and the area of the square to get the total area:
Total Area = 16m^2 + 40m^2
Total Area = 56m^2
General admission to the State Fair of Texas is $16.00. For guests to ride the various rides, they must use coupons needed for each ride varies. The representative function for the situation is C(x) = 0.5x + 16, where C(x) represents total cost as a function of the number of coupons, x. What is the domain for visiting and riding rides at the State Fair of Texas?
A. All integers greater than or equal to 0
B. All real numbers greater than or equal to 0
C. All real numbers
D. All integers greater than or equal to 16
D. all integers greater than or equal to 16
Is 11.5 bigger than 8.5?
yes 11.5 is bigger than 8.5 by 3
Answer:
Yes
Step-by-step explanation:
Because the first 2 numbers are bigger than the 2nd number
Arrange the expressions in ascending order of their values when x = -2.
The expressions in ascending order of their values when x = -2. D < A < B < C.
Given Equation:
A. (1 - x²)/(1 - 2x) = -0.6
B. (x² - 1)/(1 - 2x) = 0.6
C. (2x² + 2)/2 = 3
D. (3x² + 1)/ 2(x - 1) = -1.16
Therefore, the expressions in ascending order of their values when x = -2.
-1.16 < -0.6 < 0.6 < 3.
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USING ROA FORMULA , ANSWER IS IN % FORM. IM STUMPED. THE ABC COMPANY HAS NET INCOMEO OF $56K, ASSETS AT THE BEGINNING OF THE YEAR ARE $263K, AND ASSETS AT THE END OF YEAR ARE $313K, WHAT IS THE COMPANYS RETURN ON ASSETS?
You need to calculate the average assets in that year, then use the ratio formula:
average assets: (263k+313k)/2 = 288k
ROA = 56k/288k = 0.194...
The company's return on assets is 19.4%
While the trio is singing a song badly 35 drink glasses are broken if there are 45 tables with 5 glasses each table how many glasses are broken
The answer is 190.
If the total amount of glasses is 5 per table and there are 45 total tables, there are 45*5 (225) total glasses before any are broken. 225 - 35 glasses (because they're broken) is 190.
The remaining glass is 190.
What is arithmetical operation?Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.
Given that, the trio is singing a song badly 35 drink glasses are broken, there are 45 tables with 5 glasses each table
If the total amount of glasses is 5 per table and there are 45 total tables, then,
there are 45*5 (225) total glasses before any are broken.
225 - 35 glasses (because they're broken) is 190.
Hence, The remaining glass is 190.
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37,204.182 rounded to the nearest tens place
37,204.190 (I'm sorry if this is wrong I'm not exactly the brightest cookie in the jar :P XD)
What is 1 + 0.9 + 0.08 + 0.001 in standard form ?
the answer is 1.981
Answer:
Standard form 1.981.
Step-by-step explanation:
Given : 1 + 0.9 + 0.08 + 0.001 .
To find : What is standard form .
Solution : We have given 1 + 0.9 + 0.08 + 0.001 .
1 +[tex]\frac{9}{10}+\frac{8}{100}+\frac{1}{1000}[/tex].
We can see that 9 is at tenth place and 8 is at hundredth place and 1 is at thousandth place .
So,
1.981
Therefore, Standard form 1.981.
Help with 5 2/5 ÷ 3 2/10=
The Answer is 1.6875 Hope this helps
What is the aswer of 2\3x = 12.
For this case we must solve the following equation:
[tex]\frac {2} {3x} = 12[/tex]
We multiply by 3x on both sides of the equation:
[tex]2 = 12 * 3x\\2 = 36x[/tex]
We divide between 36 on both sides of the equation:
[tex]x = \frac {2} {36}[/tex]
We simplify:
[tex]x = \frac {1} {18}[/tex]
Answer:
[tex]x = \frac {1} {18}[/tex]
find two consecutive integers whose product is 702
2 consecutive integers with the product of 702 are 27 • 26, or since the question doesn’t specify whether it should be positive or negative, it could also be (-27) • (-26)
Final answer:
The two consecutive integers whose product is 702 are found by solving the quadratic equation n² + n - 702 = 0. Factoring the equation leads to the integers 26 and 27.
Explanation:
To find two consecutive integers whose product is 702, we can denote the first integer as 'n' and the second as 'n+1'. Then the equation to represent their product is n(n+1) = 702. To find the value of 'n', we solve the quadratic equation
n² + n - 702 = 0.
Factoring the quadratic equation, we look for two numbers that multiply to -702 and add up to 1. We find that 26 and -27 meet these criteria. So the equation factors to (n + 27)(n - 26) = 0. The two possible values for 'n' are -27 and 26.
The two consecutive integers are 26 and 27 because -27 gives negative integers which do not result in a positive product of 702. Therefore, the two consecutive integers whose product is 702 are 26 and 27.
what are the slopes of line A and line B? Look at the picture
we can mark points on the graph shown , check the image I have shared with this for the points .
Formula for slope = [tex]\frac{Y2-Y1}{X2-X1}[/tex]
So for Line A points are (1,3) and (0,-1)
So using t he formula slope is = [tex]\frac{-1-3}{0-1}[/tex]
slope of line A =4
For Line B the points are (0,4) and (3,-5)
So using t he formula slope is = [tex]\frac{-5-4}{3-0}[/tex]
slope of line B = -3
the arena of a tennis corurt is 2808 square feet. find the length of the court if it is 36ft wide
A tennis court is a rectange.
The area of a rectange is equal to length * width.
A = l*w
2808 = l * 36 (Divide both sides of the equation by 36)
L = 78
The area of a 2D form is the amount of space within its perimeter. The length of the court is 78 ft.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the arena of a tennis court is 2808 square feet, while the width of the court is 36ft wide. Therefore, the length of the arena can be written as,
Area of court = Length of the court × Width of the court
2808 sq. feet = Length of the court × 36 feet
Length of the court = 2808 ft² / 36 ft
Length of the court = 78 ft
Hence, the length of the court is 78 ft.
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Which equation represents the total commission (c) a sales associate receives if he sells 15 laptop computers (l)? What is the total commission if the commission for selling each computer is $39.95?
A. l = 15c; $2.66
B. c = 15l; $2.66
C. c = 15l; $599.25
D. l = 15c; $599.25
Answer : C
the total commission (c) a sales associate receives if he sells 15 laptop computers (l)
Total commission = number of laptops * commission for each laptop
Total commission is c
number of laptops is 15
commission for laptop is l
C = 15 * I
So c= 15l
the commission for selling each computer is $39.95
c= 15l
c = 15 * 39.95 = 599.25
What is the place value of the 5 in 5,675.321
The value of the 5 in 5,675.321 could be either five thousands or 5 ones...
Not sure which one so I put both... hope this helps. Let me know if not and / or you need any more help. :)
The value of 5 is Millions.
To help I will define all the numbers for you to help better understand.
5 is million, 6 is hundred thousands, 7 is ten thousand, 5 is thousand, 3 is tenths, 2 is hundredths, 1 is thousandths.
A Ferris wheel has 20 cars that are equally spaced around the circumference of the wheel. The wheel rotates so that the car at the bottom of the ride is replaced by the next car. By how many degrees does the wheel rotate?
The Ferris wheel rotates ______ ° between successive cars being at the bottom.
Answer:
The Ferris wheel rotates 18° between successive cars being at the bottom.
Explanation:
Angle inside a circle = 360°
No of cars in a Ferris wheel = 20
When the bottom of the ride is replaced by the next car, the angle rotated by Ferris wheel is same as the angle between two consecutive cars towards center of Ferris wheel.
Angle between two consecutive cars of Ferris wheel = 360/20 = 18°
The Ferris wheel rotates 18° between successive cars being at the bottom.
Final answer:
The Ferris wheel rotates by 18 degrees to move from one car to the next in sequence at the bottom of the wheel.
Explanation:
To determine by how many degrees the Ferris wheel rotates when one car is replaced by the next at the bottom, we need to consider the full rotation of the wheel. A full rotation of a circle is 360 degrees. Since there are 20 cars equally spaced around the circumference, we divide 360 degrees by the number of cars to find the rotation angle between successive cars.
The calculation is as follows:
360 degrees / 20 cars = 18 degrees
Therefore, the Ferris wheel rotates by 18 degrees between successive cars being at the bottom of the ride.
At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?
GCF or LCM
the LCM of 4,6 and 16 is 48
so every 48 days she does all the activities on the same day
Solve for x. −2(x+1/3)+9x=4 Enter your answer in the box.
x= 2/3
ik because i had the same question hope it will help.
Gotcha!
If you would like for me show my work just let me know.
The answer would be x=2/3 or x=0.666.....
If y=15 when x=3/4, find x when y =25. Show work please!
Set up a proportion: x/y = x/y
(.75)/(15) = (x)/(25)
Then cross multiply:
(.75)(25) = (15)(x)
18.75 = 15x
x = 1.25 or (5/4)
There you go :)
it's really easy, but I need help with it
Which of the following equations represents a horizontal line passing through the point (2,4)? y = 2x + 4 y = 4 x = 2 y = 4x + 2
The correct answer is y = 2x + 4.
The slope would be 2 and the y intercept would be 4. Now that we kbow this, we can determine that if we continuously put these points on a graph, it will make a horizontal line.
Hope this helps!!
A coin had a value of $1.17 in 1995. Its value has been increasing at 9% per year. What is the value after 5 years?
P = P₀ (1 + r)ⁿ
= 1.17(1 + 0.09)⁵
= 1.17(1.09)⁵
= 1.17(1.5386)
= 1.80
Answer: $1.80
Note: If you don't know the formula, you could calculate each year.
Year 0: $1.17
Year 1: $1.17 + $1.17(0.09) = $1.2753
Year 2: $1.28 + $1.28(0.09) = $1.3948
Year 3: $1.39 + $1.39(0.09) = $1.5155
Year 4: $1.51 + $1.51(0.09) = $1.6464
Year 5: $1.65 + $1.65(0.09) = $1.7982 which rounds up to $1.80
The value of the coin after 5 years is $188.33.
To find the value of the coin after 5 years, we can apply the compound interest formula. First, convert the initial value of $1.17 to $117 (since we are dealing with percentages). Next, calculate the value after 5 years using the formula: future value = present value × (1 + growth rate)^n. Plugging in the values, we have: future value = $117 × (1 + 0.09)^5 = $117 × 1.6097 = $188.33.
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