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

One city has a population of about 2,840,000 people. Another city has
about 3,120,000 people. About how many people live in both cities?

Answers

Answer:

5,960,000

Step-by-step explanation:

Population in one city= 2,840,000

Population in another city= 3,120,000

Population living in both cities= 2,840,000 + 3,120,000 = 5,960,000

                                                 

List all the factors of 45 from least to greatest. Enter your answer below using a comma to separate each number

Answers

Answer:

So, the factors of 45 are 1, 3, 5, 9, 15, and 45.

Step-by-step explanation:

Perimeter is a measure of the distance around a figure. If each side of a triangle measures 0.75 inches, what is the perimeter of the triangle?

Answers

Answer:

The perimeter of a triangle is the sum of all its three sides.

So,

0.73+0.73.0.73 = 2.19in

Which correctly applies the distributive property to show an equivalent expression to (–2.1)(3.4)?
(2)(3) – (0.1)(0.4)
(–2)(3) + (–0.1)(0.4)
(2.1)(3) – (2.1)(0.4)
(–2.1)(3) + (–2.1)(0.4)

Answers

I think the second one

Answer:

I think the second one two but I'm not sure

Hope this helped.

Which statement is NOT equivalent to:
5 minus negative 3

5- -3
5 +3
5-3

Answers

Answer:

5-3

Step-by-step explanation:

Answer:

5-3

Step-by-step explanation:

the first one is exactly what you described, and the second one is the same because subtracting a negative is equivalent to adding a positive.

2. The hamster, x, walked 20 feet. The guinea pig walked 1/4 less than that. The guinea
pig walked
feet

Answers

You question is a little unclear but I'm going to assume you meant how much the guinea pig walked.

The hamster walked 20 feet, and the guinea pig walked 1/4 less. So you find 1/4 of 20, which is 5. Then, you subtract 20 and 5: 20-5 = 15. So the guinea pig walked 15 feet.

1+1+1+1+1+1+1+1 / 5x10-2+60=?

Answers

Answer:

I think your answer would be 13.5

Step-by-step explanation:

5 x 10 = 50

50 - 2 = 48

48 + 60= 108

108 / 8 = 13.5

Answer:

8/340.

Step-by-step explanation:

First thing to do is add up all of the ones. I know that it = 8, so we now have 8/. Now to figure out what the rest is... oh! I know! It's 5 x 68, which is 340, Meaning we know have 8/340.

what is the answer for this question?​

Answers

Answer:

18

Step-by-step explanation:

Hope this helps

Match the following definitions with their word

Answers

Answer:

A: law

B:  The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).

C: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

Step-by-step explanation:

I hope this helps. :)

What is
1/6
of 42 ?

Arithmetic

Answers

Answer:

7

Step-by-step explanation:

hope it helps

Answer:

7

Step-by-step explanation:

1/6 * 42 = 7

A box contains 6 blue pens and 10 red pens. What is the ratio of red pens to total pens as a fraction​

Answers

Answer: 5/8

Step-by-step explanation: The ratio is 10:16 because total of 16 pens and 10 being red.

The ratio of red pens to total pens as a fraction is 5/8.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

The ratio of red pens to total pens can be expressed as a fraction. To find this fraction, we need to divide the number of red pens by the total number of pens.

The total number of pens in the box is 6 blue pens + 10 red pens = 16 pens

So, the fraction representing the ratio of red pens to total pens is:

10/16

It can be simplified by dividing both the numerator and denominator by 2, to get

5/8

So the ratio of red pens to total pens as a fraction is 5/8. This means that out of every 8 pens, 5 are red.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

D=(x2+x1)+(y2-y1) this is the formula I need number 19 Please will mark brainliest and 50 points

Answers

Answer:

[tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex]

Step-by-step explanation:

The formula is actually d= [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]. Now first, we have to find points A and C.

Point A is (1,2) and Point C is (-1,0).

Now we have to substitute the values in. That would make it d =[tex]\sqrt{(-1-1)^{2} + (0-2)^{2}}[/tex].

To simplify the parentheses, it would get to d= [tex]\sqrt{(-2)^{2}+(-2)^{2} }[/tex].

To simplify the exponents, it would get to d = [tex]\sqrt{4+4}[/tex].

To simplify the square root, it would get to d = [tex]\sqrt{8}[/tex].

So the answer is either [tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex].

Hope this helped! If not, please let me know!

May somebody please help

Answers

Answer:

for the m = -1

b= -3

Type of slope= negative

Step-by-step explanation:

hope this helps

Identify the x and y intercepts of the equation. If there are no intercepts, write none. If its linear, find the slope. If its not linear, say not linear. y=4.5

Answers

Answer:

x-intercept: none

y-intercept: 4.5

linear

slope: 0

Step-by-step explanation:

I need help in MATH!!!!!!!!!!

Answers

I think the answer is 41 bc 17+24=41

Answer:

XZ=41

Step-by-step explanation:

I'm pretty sure all you do is add 17 to 24

sin^2x + sin^2x + cos²x

Answers

Answer:

Answer:

A. 2 sinx cosx - 1 + 2 sin^2 x.

Step-by-step explanation:

sin2x = 2 sinx cosx

cos2x = cos^2x - sin^2x

So sin2x - cos2x =  2 sinx cosx - ( cos^2x - sin^2x)

But cos^2 x = 1 - sin^2 x, so we have:

2 sinx cosx - (1 - sin^2 x - sin^2x)

= 2 sinx cosx - 1 + 2 sin^2 x.

PLZ HELP WILL MARK BRAINLEST 1 hours max!!!!
2 or more have to answer plz help me !!!!!!!

Answers

3x=12, then 3x/3=12/3. X = 4

Answer:

3x + 2 = 14

3x + 2 - 2 = 14 - 2

3x = 12

3x/3 = 12/3

x = 4

Step-by-step explanation:

3x + 2 = 14

subtract 2 from both sides

3x + 2 - 2 = 14 - 2

combine like terms.

3x = 12

divide both sides by 3

3x/3 = 12/3

x = 4

If u place a 13 foot ladder against a 12 foot building,how many feet will the Ladder be from the building

Answers

Answer:

5 feet

Step-by-step explanation:

When you place the 13 foot ladder, the ladder, floor, and wall forms a right triangle and the ladder will become the hypotenuse.

We use the Pythagorean Theorem. Let x be the distance from the building.

x^2 +12^2 = 13^2

x^2 + 144 = 169

x^2 = 169 - 144

x^2 = 25

Take the square root of 25 and you get 5

x = 5

What does the slope represent in this scenario?

Answers

Answer:

Then change in time divide by the change in Temperature

Which scatter plot shows a nonlinear association for the data?
10
8
6
10-
8
6-
4
2
2
092746810
0 246810
yt
10
8
6
4
2
y+
10
8
6
2
0 246810
0 249698 10x

Answers

Answer:

10, 8, 6, 4, 2

Step-by-step explanation:

chris is comparing two music downloading websites. the first site charges a $15 membership fee and then charges $0.50 per song. the second website has no membership fee, but they charge $0.80 per song. how many songs will chris have to download before the two sites charge the same amount

Answers

Answer:

hE WILL HAVE TO DOWN LOAD 50 SONGS

Step-by-step explanation:

Liana has 320 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum​ area? A rectangle that maximizes the enclosed area has a length of nothing yards and a width of nothing yards

Answers

Answer:

Breadth = 60,  Length = 60

Step-by-step explanation

Let length & breadth of rectangular area be : L & B

As, Fencing Yards = 320. So, perimeter ie  2 (L + B) = 320

B = (320 - 2L)/2 → B =  160 - L (*)

Area of rectangle [A]  = L x B = L  (160 - L)  → A = 160L - L^2

Maximising Area, So first derivative d [A] / d [L] = 160 - 2L

d [A] / d [L] ] = 0  → 160 - 2L = 0  → L = 160/2  → L = 80

By (*) : B = 160 - L = 160 - 80 → B = 80

Checking maximising condition, double derivative d^2[A] / d[L]^2 = -2

As d^2[A] / d[L]^2 is negative, L & B values are maximising A

What is the perimeter of this triangle ?

Answers

Answer:

36 units

Step-by-step explanation:

The two legs of this right triangle are 9 and 12. In order to find the length of the hypotenuse, you must plug in the 9 and 12 to the Pythagorean theorem:

a^2 + b^2 = c^2, where a and b are legs and c is the hypotenuse

If you plug in the values 9 and 12, you get:

9^2 + 12^2 = c^2

= 81 + 144 = c^2

= 225 = c^2

= 15 = c

This means that the hypotenuse is 15 units long. Now, you just need to add all the sides to get:

9 + 12 + 15

= 36 units

(Also as a fun fact, a Pythagorean Triple is when the three sides of a right triangle are integers. It is good to memorize a few of these, like 3-4-5, 5-12-13, 7-24-25 and 8-15-17. The largest side value is always the hypotenuse, and if you multiply all the sides by a scale factor, you can get other triples. If you knew the 3-4-5 triple, you might have noticed that 9 and 12 are 3 times each of the legs 3 and 4. From that information, you could just multiply the 5 by 3 to get 15 for the hypotenuse of this triangle, which might've made this problem a little easier)

Answer:

36

Step-by-step explanation:

Which equation is true when the value of x is -12

Answers

Answer:

Which equation is true when the value of x is -12    HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)  

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

PLEASE HELP ASAPP
In science class, Graciela noticed that the balance scale showed 2 ounces for a sample of matter and 56.7 grams for the same sample. She has a rock that weighs 708.75 grams but needs to know the weight in ounces. Which proportion could Graciela use to find x, the weight of the rock in ounces?
AWNSERS ARE DOWN THERE, IDK IF THE 1 IN YELLOW IS CORRECT!!

Answers

Answer:

2/56.7= x/708.75

Step-by-step explanation:

please help.

The price of an item at a store is p. The tax that is charges is 7%. The expression below shows the total amount that has to be paid. Mark all that apply. look at the picture I attached.

Answers

Answer:

E and D

Step-by-step explanation:

Identify the property.
18 + 11 = 11 + 18

Answers

Answer:

commutative i believe

Step-by-step explanation:

.........................

Answer:

Commutative Property  

Step-by-step explanation:

The commutative property: Changing place of a certain number does not affect the sum (answer)

In this problem the property is Commutative property

Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?

Answers

Answer:

g(x) = -4(1/2x)^2

Step-by-step explanation:

If you could format this a little better, it would be helpful but here is what looks to be the answer to your question.

from the parent square function, there is a vertical stretch by a factor of 4, a horizontal stretch by a factor of 1/2, and a reflection across the x axis

Answer:

itd b on edg

Step-by-step explanation:

Which graph shows a set of ordered pairs that represent a function?

Answers

Answer:

The middle one is a function because there is only 1  x value distributing 1 y value

Step-by-step explanation:

Answer:

#3, on the top right corner

Step-by-step explanation:

8x + 4.3= 2(x+6) + 6x - 7.7​

Answers

Answer:

Step-by-step explanation:

8x=2x+12+6x-7.7-4.3

8x=2x+12+6x-12

8x=8x

x=x

X could be any number

Example : If x=4

4*8+4.3=2(4+6)+6*4-7.7

32+4.3=20+24-7.7

36.3=36.3

It will be nice if you give me brainliest.Good luck!

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