Mathematics High School

simplify rs

r (0,a)

s (b,c)

p (b,-c)

q (0,-a)

Simplify Rsr (0,a)s (b,c)p (b,-c)q (0,-a)

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Calculate RS using the distance formula

d = [tex]\sqrt{(x_{2 -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = R(0, a) and (x₂, y₂ ) = S(b, c) , thus

RS = [tex]\sqrt{(b-0)^2+(c-a)^2}[/tex]

     = [tex]\sqrt{b^2+(c-a)^2}[/tex]

Answer 2

Following are the calculation to the distance of rs:

Given:

Please find the question.

To find:

distance in rs=?

Solution:

Using the formula of distance:

[tex]\to d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

points:

[tex]\to R=(0,a)\\\\\to S=(b,c)[/tex]

[tex]\to (X_1, y_1) = R(0, a) \\\\ \to (x_2, y_2 ) = S(b, c)[/tex]

Calculate RS distance by using the above formula:

[tex]\to RS=\sqrt{(b-0)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{\sqrt{b^2+(c-a)^2}}[/tex]"

Learn more about the distance:

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Related Questions

What is the slope of the line with the points (-3,5) and (6,2)

Answers

y2 = 2
y1 = 5
x2 = 6
x1 = -3

2 - 5 = -3

6 -(-3) = 9


-3 / 9 = -1/3

Y= 1/3x

Hope this helped :)


Y
Y = 1/3x

Hope this helps

Movie tickets now cost seven dollars for adults over six years old. They cost six dollars a couple of years ago. What was the percent of increase?

Answers

Answer:

i think 3%

Step-by-step explanation:

Percent increase = (new value - initial value) / initial value
In this case, the new value is seven dollars, and the initial value is six dollars
So 7-6= 1. Divide by 6 will give u 0.16. The percentage increase is calculated by multiplying the answer by 100. So 0.16*100 = 16%. So 16% is the percentage increase.
In order to verify our answer. We find 16% of 6 and add it to 6. So 6 + 0.96 = 6.96 -> 7. So we are correct

Evaluate f(x)=2x-7 when x=-2,0 and 3

Answers

Answer:

Step-by-step explanation:

A) y = 2x – 7  and f(x) = 7 – 2x

Incorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

 

B) 3x = y – 2  and f(x) = 3x – 2

Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

 

C) f(x) = 3x2 + 5 and y = 3x2 + 5

Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.

 

D) None of the above

Incorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

1 The formula for the area of a triangle is
A = 1/2 bh

where b is the base of the triangle and h is the height of the triangle.

What is the length of the base if the area is 22 cm2 and the height 2 is 8 cm?​

Answers

Answer:

The formula of area of triangle= ½ base×height

Answer:

5.5cm

Step-by-step explanation:

22= (1/2)(8)(b)

22=(4)(b)

22/4= 5.5

b=5.5

what is resistance in a circuit when the current is 0.5 ampere

Answers

Answer:

R=12/0.5 - 24 ohms

Step-by-step explanation:

I will give brainliest for who answers! I need help!

Answers

Answer:

A

Step-by-step explanation:

31%

The blue says 31%

Answer:

The answer is #1 (A)

Step-by-step explanation:

please mark brainliest i am begging you i only have one

3x - 2y = 38
x = 6 - y


Choose a solving method to find the solution


(if possible provide explanation I do not understand this!)

Answers

hope this is correct and that it helps
plug 6-y in for x
3(6-y)-2y=38
distribute
18-3y-2y=38
combine like terms
18-5y=38
subtract and divide
y=-4

plug y in
x=6-(-4)
solve
x=10

y= -4
x=10

Which of the following is arranged in the correct order?
A. |31| > |-41| > |-3| > |5|
B. |-41| > |31| > |5| > |-3|
C. |-41| > |31| > |-3| > |5|
D. |31| > |5| > |-3| > |-41|

Answers

Answer:

it's B.

Step-by-step explanation:

41>31>5>3

4. Which expression is equivalent to x 2+ 5x – 24?
(1) (x + 3)(x – 8) (3) (x – 3)(x + 8)
(2) (x – 2)(x + 12) (4) (x + 2)(x – 12)

Answers

Answer:

4

Step-by-step explanation:

I need it asap HELP ME PLEASE​

Answers

Answer:

x=-38

Step-by-step explanation:

8x+51=6x-25

2x= -76

x= -38

Find the slope and y ✨

Answers

Answer:

Y=3x

Slope: 3

Y int. (0,0)

Y=-2/3x-3

Slope: -2/3

Y int (0,-3)

Step-by-step explanation:

The occupancy rate of a motel is the percentage of rooms that are occupied on a particular night. The
histogram below summarizes the occupancy rates for a random sample of 100 nights for a motel.
0.35
0.30
0.25-
0.20-
0.15-
0.10-
0.05
0+
0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95
Motel Occupancy Rate
Based on the histogram, which of the following values could represent Q3?
Relative Frequency
(A) 0.24
(B) 0.63
(C) 0.67
(D) 0.71
(E) 0.75

Answers

For the given table, the third quartile is given by:

(D) 0.71.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set, which is the 25th percentile.The third quartile is the median of the second half of the data-set, which is the 75th percentile.

Given a cumulative frequency table, the third quartile Q3 is the value when the sum of the frequencies is of 0.75.

From the frequency table, we have that:

A rate of 0.65 is the 30th percentile.A rate of 0.7 is the 57th percentile, as 0.3 + 0.27 = 0.57.A rate of 0.75 is the 80th percentile, as 0.57 + 0.23 = 0.8.

Hence the 75th percentile is between 0.7 and 0.75, meaning that option D is correct.

More can be learned about the quartiles of a distribution at https://brainly.com/question/28168026

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PLEASE HELP! Geometry property question.

Justify each of the following statements using a property of equality, property of congruence, definition, or postulate.

Please match all of them!

Answers

Answer:

Step-by-step explanation:

1. If PQ = PQ then PQ ≅ PQ

 Reflexive Property of congruence

2. If K is between J and L, then JK + KL = JL

 Segment addition property

3. EF ≅ EF

 Definition of congruence

4. If RS = TU, then RS + XY = TU + XY

 Addition property of equality

5. If AB = DE, then DE = AB

 Symmetric property of equality

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

HELP PLS

Answers

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Hope this helps. :)

4) f(x) = 2x^5+4x^4+11x^3+22x²+12x+24; -2

please show the steps on how to find the roots

Answers

Answer:

Step-by-step explanation:

f(x) = 2x^4(x + 2) + 11x^2(x + 2) + 12(x + 2)

f(x) = (x+2) [2x^4 + 11x^2 + 12]

f(x) = (x + 2)(2x^2 + 3)(x^2 + 4)

yo this is for a diagnostic grade can someone help

Answers

35 people total that went on the trip.

Answer:

35 students

Step-by-step explanation:

The ratio of boys to girls is 3:4

4*x= 20

x= 5

now multiply 5 for the boys

3*5= 15

now add both sums together

20+15 = 35

Done!

Hope this helps! ; )

Reduce to simplest form
6/3 + (-1/6) PLZ HURRY!

Answers

11/6
1.83 repeat
1 5/6
15/6 is your answer :))))))))).

What is the Nature of Roots of x^2+9x+14=0?

Answers

Answer:

(x+7)(x+2)

Step-by-step explanation:

If we multiply it out we get:

x * x = x^2

7 * x = 7x

2 * x = 2x

7 * 2 = 14

Add it all, we get: x^2 +9x+14

Therefore these are the factors

Match each equation to its solution.

Answers

Good job you got it right! But others won’t be able to find it because you have a basic writing for it. Next time put the actual equations on so others can find it!

Answer:

i)x=6

ii) x=-7

iii) x=-5

Step-by-step explanation:

First take the no. to the other sides. Then divide, then u will get x

recipe call for 5 teaspoons of seasoning for every 7 batches of chicken. If you have 14 batches of chicken, how many teaspoons of seasoning will you need?

Answers

Answer:

10 teaspoons

Step-by-step explanation:

3(x + 6) — 2(x + 2) > 10

Answers

Answer:

x > -4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x + 14 > 10

Step 2: Subtract 14 from both sides.

x + 14 − 14 > 10 − 14

x > −4

Hope it helps!

Benny bought 6 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 31 cards left. How many cards did Benny start with ?​

Answers

Half is 31 multiplied by 2 will equal 62 minus the 6 new cards is equal to 56 cards

Which of the following results in the expression 0.22 x 86? SVE ME PLZ

Answers

Answer:

18.92

Step-by-step explanation:

It simple mutiplication put it like this and do the math!

   86

X 00.22

---------------           Or do it like 86/0.22

Which best describes what forms in nuclear fusion?

a
one smaller, less stable nucleus
b
one larger, more stable nucleus
c
two larger, less stable nuclei
d
two smaller, more stable nuclei

Answers

Answer:

I guess Letter B. One Larger, More stable nucleus

It produces nearly all the elements that are heavier than helium..

Answer:

Answer A

Step-by-step explanation:

Edge 2021

TIME REMAINING
01:45:37
Which is the graph of the equation ?

Answers

I think the best answer would be so

Answer:

Lifting weights. Using resistance bands. Using your body weight for resistance, by doing push-ups, pull-ups, crunches, leg squats or push-ups against a wall. Using weight machines at a gym.

Step-by-step explanation:

Took the test on Edge

I NEED HELP PLEASE!!!!
Find the slope of the line passing through the points (-6,-5) and (4,4)

Answers

Answer:

m = [tex]-\frac{1}{10}[/tex]

Step-by-step explanation:

To find the slope you use the equation y2-y1 / x2 - x1. For this problem, it would be 4 - - 5/ 4 - - 6. If we simplify this you will get 9/10. Therefore, The slope of the line will be 9/10.

abcd is a kite x = ?

Answers

X = 90 degrees because lines are perpendicular

The measure of angle x using property of Kite is 90 degree.

In geometry, a kite is a quadrilateral with two pairs of equal-length adjacent sides.

As, The diagonals of a kite are perpendicular to each other.

This means that they intersect at a right angle.

From the figure BD and AC are diagonals  of Kite.

and, the diagonals of a kite are perpendicular to each other.

So, the measure of angle x is 90 degree.

Learn more about Kite here:

https://brainly.com/question/28157521

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3x + 5 = 6x – 13
please please help!

Answers

Answer:

Simplifying

3x + -5 = 6x + -13

Reorder the terms:

-5 + 3x = 6x + -13

Reorder the terms:

-5 + 3x = -13 + 6x

Solving

-5 + 3x = -13 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-5 + 3x + -6x = -13 + 6x + -6x

Combine like terms: 3x + -6x = -3x

-5 + -3x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0

-5 + -3x = -13 + 0

-5 + -3x = -13

Add '5' to each side of the equation.

-5 + 5 + -3x = -13 + 5

Combine like terms: -5 + 5 = 0

0 + -3x = -13 + 5

-3x = -13 + 5

Combine like terms: -13 + 5 = -8

-3x = -8

Divide each side by '-3'.

x = 2.666666667

Simplifying

x = 2.666666667

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Alicia drew the figure below on a coordinate plane.

What is the area of the figure?

Answers

Answer:

72

Step-by-step explanation:

you multiply the length and the width

I earn 770.98(R) every week. I have 385.49(R) since I spent the other half on toys. I want extra items on a game, but it's 1,541.72(R). How long will I have to wait until I save enough money for it? 385.49 + 770.98 < 1,541.72. (It's in Russian dollar so lemme translate) 385.49 = 5 US dollar) 770.98 = 10 US dollar) 1,541.72 = 20 US dollar)

Answers

Answer:

1.5 weeks

Step-by-step explanation:

Given

[tex]Earnings = 770.98[/tex] weekly

[tex]Amount\ Left = 385.49[/tex]

[tex]Game\ Cost = 1541.72[/tex]

Required

Determine the time taken to save up

Represent the time with t

The relationship between the given parameters can be expressed as:

Amount + Earnings in t weeks = Game Cost

This gives:

[tex]385.49 + 770.98t = 1541.72[/tex]

Collect Like Terms

[tex]770.98t = 1541.72 - 385.49[/tex]

[tex]770.98t = 1156.23[/tex]

Solve for t

[tex]t = 1156.23/770.98[/tex]

[tex]t = 1.49968870788[/tex]

[tex]t = 1.5[/tex] Approximated

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