find the distance between the points R(a+b,a-b) and S(a-b,a+b)
Answers
Answer:
The distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).
Step-by-step explanation:
To find the distance between the two points, we can use the distance formula:
distance = sqrt((x2-x1)^2 + (y2-y1)^2)
Plugging in the coordinates of the two points, we get:
distance = sqrt((a-b-a-b)^2 + (a+b-a+b)^2)
Simplifying, we get:
distance = sqrt(2*(a^2 + b^2))
Multiplying both sides by sqrt(2) gives us:
distance = 2*sqrt(2)*sqrt(a^2+b^2)
Therefore, the distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).
Related Questions
Right triangle ABC is shown below. Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Then determine the measure of n
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Answer:
Step-by-step explanation:
the width of a rectangle is 8 feet and the diagnal length of the rectangle is 13 feet which measurement is closest to the length of this rectangle in feet
Answers
Answer:
Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself
Step-by-step explanation:
Okay so you have a weigh of 8 and a diagonal of 13.
If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.
Pythagorean theroum: a^2+b^2=c^2
Now subsitute c for 13 since its the hypotnuse and a or b as 8 but only one.
In this case I’m substituting a for 8.
8^2+b^2=13^2
Solve the squares
64+b^2= 169
Isolate the b
b^2=105
Now square root 105
√105 will give the answer above on a normal calculator but if you have to round, I don’t know what place but you can round.
Help, I am very confused
Answers
9514 1404 393
Answer:
(a) 2S, 1A
Step-by-step explanation:
A triangle is completely specified when all three sides and all three angles are known. This triangle shows the measure of 1 side, so 2 sides are missing (2S). It shows the measures of angle Q and P, so angle N is missing (1A).
The missing information is 2 sides and 1 angle: 2S, 1A.
PLEASE HELP!!!!!! I NEED THIS ASAP
Answers
Answer:
11.2
Step-by-step explanation:
PYTHAGOREAN THEOREM
14^2 = 8.4^2 + x^2
18.3: Sand Wagon
The Radio Flyer wagon is 27 feet long 13 feet wide and 2 feet deep.
1. A 150-pound bag of sand will fill about 9 cubic feet. About how many bags of sand
will it take to fill the wagon with sand?
Step by step please?
Answers
Answer:
702/9 is 78 your answer is 78
Step-by-step explanation:
27*13*2
The measures of three of the interior angles of a quadrilateral are 60o, 110o, and 90o What is the measure of the fourth angle of this quadrilateral?
Answers
Answer:
100 degrees
Step-by-step explanation:
sum of angles in a quadrilateral = 360
missing angle = 360 - (60 + 110 + 90) = 100
How to find surface area of rectangular prism?
Answers
Answer:
.
Step-by-step explanation:
........
Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere armar tres líneas del mismo tamaño, una de cada color y sin cortar ninguna tira. a) ¿Cuánto va a medir la menor línea que se puede armar con cada color? b) ¿Cuántas tiras se deben utilizar? c) ¿Cuántas de cada color?
Answers
Answer:
a) Smallest line that can be made with each color = 300 cm
b) Total strips should be used = 47 strips
c) Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
Step-by-step explanation:
Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.
To find - a) How long is the smallest line that can be made with each color?
b) How many strips should be used?
c) How many of each color?
Proof -
a)
For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.
Firstly,
Decompose the 3 strips to its prime factors , we get
15 = 3×5
20 = 2²×5
25 = 5²
So,
The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300
∴ we get
Smallest line that can be made with each color = 300 cm
b)
Now,
Total strips used = 300 cm
Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips
Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips
Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips
So,
Total strips should be used = 20 + 15 + 12 = 47 strips
c)
Total strips used of blue color = 20
Total strips used of green color = 15
Total strips used of red color = 12
Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, StartRoot 2 EndRoot almost-equals 1.414. Angle A = 45 degrees, side A B = 12 StartRoot 2 EndRoot centimeters, Angle C = 90 degrees a. Side B C = 6 StartRoot 3 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 3 EndRoot centimeters b. Side B C = 6 StartRoot 2 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 2 EndRoot centimeters c. Side B C = 24 centimeters, angle B = 45 degrees, Side A C = 24 centimeters
Answers
Answer:
D. BC = 12cm, <B = 45, AC = 12cm
Step-by-step explanation:
Edge 2021
The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm
What are right triangles?A right triangle is a triangle that has one of its angle measure to be 90 degrees.
From the question, we have:
Angle B = 45 degrees
Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)
Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm
Read more about right triangles at:
brainly.com/question/2437195
» What is the area of this trapezoid?
Remember to include in. Or in^2
Answers
Answer:
20 Inches
Step-by-step explanation:
Ok here is how you do it so the formula for a trapezoid is base 1 plus base 2 divided by 2 times the height. so, in this case the two bases are 2 in and 6 in so we add those together and get 8 then, we divided 8 by 2 and we get 4.
Then now, we multiply 4 and 5 for our height and get 20 inches.
Find the area of the shape shown below.
4
2
2
1
units
Answers
Answer:
7
Step-by-step explanation:
it's a rectangle of area 2*4=8 minus a triangle of area 1*2/2=1 so 8 - 1 = 7
Carson can choose one vehicle (car or truck), one color (blue, red, or silver), and one type of transmission (standard or automatic). How many possible outcomes are there?
Answers
Answer:
12 possible outcomes
Step-by-step explanation:
Choosing 1 vehicle from 2 = 2C1 = 2
Choosing 1 color from 3 = 3C1 = 3
Choosing 1 type from 2 = 2C1 = 2
Number of possible outcomes :
2C1 * 3C1 * 2C1
2 * 3 * 2
= 12 different possible outcomes
PLEESE HELP I need help naw
1+1
I'm on my sisters fone I'm in kindrgarden.
Answers
Answer
2
Step-by-step explanation:
1+1 equals 2.
have a great day!
da anwer iws eweven(11) uwu
Frank had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 brothers. The following expression can be used to find the amount of money Frank had after that.
65 - 2 ⋅ 7 + 9 ÷ 3 .
Based on this expression, what is the amount of money Frank had remaining?
a.$54
b.$150
c.$2
d.$444
Answers
Answer:
54
A.)
Step-by-step explanation:
65-2x7+9/3
PEMDAS
65-14+9/3
51+3
54
What is the value of the expression 3 x 5 + 32 ?
I just need to know if I put the answer or the expression
Answers
Answer:
3x³+32
Heart if it helped
Answer:
u just simplify the expression
the answer is 50
Step-by-step explanation:
3x+4y=25 x+5y=23
What does the variable of x and y represent in the system of equations
Answers
x= 1/27
Heart if it helps!
Equation form : x = 3 , y = 4
HELPPPP! PLZ HURRY AND SHOW UR WORK!!
TRAP ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD.
The scale factor of TRAP to EZYD is __.
Answers
Answer:
3/4
Step-by-step explanation:
when you line up the figures you get 9:12 which reduces down to 3/4
I need help with these question! Please explain step by step-
Answers
Answer:
3 bags of chocolate chips and 3 bags of walnuts
Step-by-step explanation:
1 pound = 16 ounces (oz). So, our dear Jemina needs 48 ounces. Then, we do system of equations. one of the equations are 3x +2y = 15(dollars), and then second is 12x + 4y = 48. (ounces/pound). Let's solve for x first. We multiply the dollars equation by 2 to eliminate y from both equations. 6x +4y = 30. When you subtract, you get 6x = 18. So, x = 3, Jemina buys 3 chocolate chips bags. So, thats $9. So, she also spends $6 on walnuts. For checking, 3 bags of chocolate chips = 36 ounces. 3 bags of walnuts = 12 ounces. 36+12 ounces = 48 ounces. :D
Your germination rate for lavender seeds is 34%. You planted 1200 seeds, how many sprouted?
Answers
1200 times 0.34 is equal to 408
State if the three numbers can be the measures of the sides of a triangle.
5, 12, 10
Yes or No
Answers
Answer:
yes
Step-by-step explanation:
HELP! I'LL MARK YOU BRAINLIST
Answers
Step-by-step explanation:
are in the solution:
(3,1)
(-1,2)
(6,0)
(0,0)
are not
(-2,-1)
(0,-4)
Simplify the following
Answers
Please help meeeee! I’m stuck
Answers
Answer:
x = 12
Step-by-step explanation:
(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees
14x + 12
180 - 12 = 168
14x = 168
/14 | /14
x = 12
Top left angle: (8x - 1)
8*12 - 1
96 - 1
= 95
Sorry! gtg I hope this helps!
find the missing side. round to the nearest tenth.
Answers
Answer:
A. 5.2
Step-by-step explanation:
I was taught how to do this using the SOH CAH TOA method.
Step 1: Circle your given angle.
Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.
Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.
Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.
Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.
Step 6: Solve for x until x is by itself, then enter into your calculator.
You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.
mo played 30 games of chess he won 18 of these games what fraction of the games did he win give your answer in its simplest form
Answers
Answer:
18/30
Step-by-step explanation:
hello please help thanks
Answers
Answer:
most likely the last choice
Step-by-step explanation:
Answer: during evaporation
Step-by-step explanation: the sun heats up the water which caused it to evaporate
Madeline has 2 times the number of games as Paulo. Paulo has 4 more games than Tyler. If Tyler has 9 games, how many games are there among the 3 friends?
Answers
The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount of rain in Houston?
Answers
Answer:
8-i=g
Step-by-step explanation:
g= amount of rain Groesbeck gout
i = inches of rain
Answer:
saw this question on egde its b
if f (x) = 8 (5x - 2) find f (x)
Answers
Answer:
f-1(x) = (x - 16)/40
B
Step-by-step explanation:
Call f(x) = y
Interchange x and y
x = (5y + 2)*8 Remove the brackets
x = 40y + 16 Subtract 16 from both sides
x - 16 = 40y Interchange the left and right sides
40y = x - 16 Divide by 40
y = (x - 16)/40
f-1(x) = (x - 16)/40
Calculate the product below and give your answer in scientific notation.
(1.3 x 10-^2) (0.05) = ?
Answers
Answer:
1 Simplify 1.3\times 101.3×10 to 1313.
(13-2)\times 0.05
(13−2)×0.05
2 Simplify 13-213−2 to 1111.
11\times 0.05
11×0.05
3 Simplify.
0.55
0.55
The product of (1.3 x 10⁻²) and (0.05) is 0.065x 10⁻²
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find the product of (1.3 x 10⁻²) and (0.05)
Multiplication is a method of finding the product of two or more numbers
First multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, put the same number of digits behind the decimal in the product.
1.3×0.05=0.065
So 0.065x 10⁻² is the value of product (1.3 x 10⁻²) and (0.05)
Hence, the product of (1.3 x 10⁻²) and (0.05) is 0.065x 10⁻²
To learn more on Equation:
https://brainly.com/question/10413253
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