Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
A. -1/3
B. 3
C. 5
D. 6
E. -9

Answers

Answer 1
the answer is the third choice 5
Answer 2

The x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

Here, we have,

given that,

Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3,

Midpoint of a line

The formula for calculating the midpoint of a line divided in the ratio m:n is expressed as:

M(x,y) =  (mx₂ + nx₁) / (m + n) , (my₂ + ny₁) / (m + n)

For the x-coordinate

X = (nx₁+mx₂/m+n)

let, the x-coordinate of Q = a

Substitute the given parameters

-1 = 3(-3) + 1(a) / 1+3

or, -1 = -9 + a/4

or, -4 = -9 + a

or, a = 5

Hence the x-coordinate of Q if  the x-coordinate of R is -1 and the x-coordinate of P is -3 is 5

Learn more on coordinate here:

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Related Questions

20 easy points fast ……………………….

Answers

b has infinite solutions

What is the domain of the function y=\sqrt{x}
What is the domain of the function y = StartRoot x EndRoot?

Answers

Answer: C (third choice)

Step-by-step explanation:

Square roots cannot hold negative x values as it will create an imaginary number.

Therefore the starting value of x must be starting at 0 and then moving to infinity

Answer:

c

Step-by-step explanation:

Find the equation of the line joining the points (4, 9) and (-1, 0)

Answers

The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5

How to find the equation of a line?

The formula for calculating the equation of a line is expressed as:

y = mx + b

m is the slope

b is the intercept

Determine the slope:

Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5

Determine the y-intecept

0 = 9/5(-1) + b

b = 9/5
Hence the equation of the line is y = 9/5 x + 9/5

Learn more on equation of a line here: https://brainly.com/question/13763238

A truck carries a load of 50 boxes;some are 20kg boxes and the rest are 25kg boxes. if the total weight of all boxes is 1175 kg, how many of each type are there?​

Answers

given:

total number of boxes= 50

weight of all the boxes= 1175

some boxes= 25kg

and the rest= 20kg

to find:

how many of each type are there.

solution:

Let the number of the 20kg boxes = x

and the number of the 25kg boxes = (50-x)

so,

20×(x) + 25×(50-x)

= 1175

20x + 1250 - 25x

= 1175

- 5x = - 75 => x = (-75)/(-5)

= 15

(50–15)

= 35

therefore, 20 kg boxes are 15 and 25 kg boxes are 35.

The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Answers

Answer:

scale factor is 3/2

Step-by-step explanation:

to find scale factor, new image divided by original image.

Make sure you rotate the image on the right so it matches the image on the left. 3 corresponds to 9/2 and 5 corresponds to 15/2.

[tex]\frac{9}{2}[/tex] ÷ [tex]\frac{3}{1} \\[/tex]

[tex]\frac{9}{2}[/tex] × [tex]\frac{1}{3}[/tex]

[tex]\frac{9}{6}[/tex]

reduce

[tex]\frac{3}{2}[/tex]

[tex]\begin{equation}\text { Question: Find the value of } \frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{2^{2}}{1+x^{4}}+\ldots \cdot \frac{2^{100}}{1+x^{200}}\end{equation}[/tex]

Answers

[tex]\bold{Heya!}[/tex]

Your answer to this is:

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

→ EXPLANATION :-

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]

[tex]\sf{Apply \: rule:} \: (a) = a[/tex]

[tex]\sf{(1) = 1[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]

[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]

[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

What is the value of 7 – 18(-2 1/3+ 2/3)

Answers

Answer:

The answer is 37.

Step-by-step explanation:

First of all we use Pemdas. Add the parantheses first. So its 7-18(-5/3) then you multiple the -18 to 5/3 Because after Parantheses its Exponents multiplication. So it becomes 30. Then you add 7 to get 37. I hope this is helpful.

HELP
Which speed is equivalent to 1/2 mile per hour?

Answers

the answer is b (brainly is omd)

help, Surface area of cubes and prisms

Answers

Answer:

2382

Step-by-step explanation:

You can use rectangle surface area= l × b

2×(27×21)+2×(27×13)+2×(21×13)

=2382

Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the probability of observing: exactly 3 tails.

Answers

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

can some one help, Write the inequality 3x - y > -4 in slope intercept form​

Answers

Answer:

[tex]y < 3x+4[/tex]

short explanation:

1) the common view of slope-interception form is:

y < slope*x+intercept or y>slope*x+intercept. Then

2) according the form above:

3x-y>-4;

y<3x+4.

What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.

Answers

Answer:

3x-3y=63 = -1

Step-by-step explanation:

so the anwer is -1

plsss help ill give briliantest ​

Answers

Answer:

The answer is 310

Step-by-step explanation:

Example of distributive property of division

The 1,860 is broken down into 1800 & 60

1800 divided by 6            +               60 divided by 6

1800 divided by 6 = 300        +         60 divided by 6  = 10

300 + 10 = 310

v(x)=x^2-25
————-
2x^2+13x+15

Describe the domain in complete sentences.

Write the domain in inequality notation.

Answers

Answer:

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

Step-by-step explanation:

The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.

__

  [tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]

The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

_____

Additional comment

The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.

distribute to create an equivalent expression with the fewest symbols possible 1/5(15+10k)=

Answers

Answer:

[tex]3+2k[/tex]

Step-by-step explanation:

[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]

Answer:

3 + 2k

Step-by-step explanation:

Given that:

⅕ (15+10k)

Using the distributive property which is:

a × (b + c) = a × b + a × c

Which also means: Remove Parentheses

Thus we have:

⅕ (15+10k)

⇒ ⅕ × 15+⅕ ×10k

⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅

⇒ 3 + 2k

Hence, the answer to equivalent expression is 3 + 2k.

Kavinsky

help pleaseeee this harddd

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

#1 1.6

#2 1:2

#3 $160.00

#4 1,800

#5 $360

#6 2

#7 250

I hope I helped you

I'm sorry for late

How many triangles can be constructed with angles measuring 110° 50° and 10°


Pls explain in detail so I can understand

Answers

Answer

0

Step-by-step explanation:

Because 110+50+10= 170 and every triangle has 180º

Bry blew 91 bubbles. Ken blew 7 bubbles.

Answers

Answer:

i need the rest of the question

Step-by-step explanation:

PLEASE HELP PLEASE PLEASE HELP PLEASE

Answers

Answer:

False

Step-by-step explanation:

basically it's asking you whether or not you can live on earth. you can't live at the other planets because they're either too far or too close to the sun.

HELP PLS
WORTH 1 POINT
GIVING 10
WHAT DID I DO WRONG?

Answers

supplementary angles form a straight line (together 180°) and the ones that you indicated didn't.

What is the smallest number that, when divided by 4 and 5, will yield a remainder of 2?​

Answers

Answer:

The required number is 62.

Let the required smallest number be X. We are aware that the required number is to be divided by 5, 6, 4, 3. The number leaves a remainder=2 on dividing by the aforementioned numbers.

Pls write me fast what’s the answer 8(1 - 6p) - 2(6p + 7)

Answers

Answer:

-60p -6

Step-by-step explanation:

8(1 - 6p) - 2(6p + 7)

Distribute

8 - 48p  -12p -14

Combine like terms

-60p -6

The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.

Answers

Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.

The required triangle

The line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.

From trigonometric ratios, we have that

tanФ = h/D

So, D = h/tanФ

Since

h = 400 ft and Ф = 35°,Distance of building apart

Substituting the values of the variables into the equation, we have

D = h/tanФ

D = 400 ft/tan35°

D = 400 ft/0.7002

D = 571.27 ft

D ≅ 571 ft to the nearest foot

So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.

Learn more about distance of building apart

https://brainly.com/question/26909886

PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a
speed of s miles per hour. Her friend Rana is slower, her biking
speed 1S only r miles per hour.
Today the girls went for 20 miles trip, each girl was biking at her usual speed. How
long did Sophie wait for Rana after her own arrival to the finish?

Answers

Answer:

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

Step-by-step explanation:

Sophie road 5 mph for 20 miles

distance = rate of speed times time traveled

d = st

20 =5t

t = 20/5 = 4 hours

Rana road r mph for 20 mile

d=rt

20=rt

t =20/r

Sophie waited  20/r - 4  hours

20/r -4 =  (20-4r)/r

if Rana road at   4 mph,  Sophie waited (20-4(4))/r =  4/4 = 1 hour

If Rana road at  3 mph,  Sophie waited (20-4(3))/3 = 8/3 = 2 hours 40 minutes

if Rama road at 2 mph  Sophie waited (20-4(2))/2 = 12/2 = 6 hours

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

In this picture, m∠XOZ = 77° and m∠YOZ = 40°. If m∠XOY = (5x + 16)°, what is the value of x?

A. 20.2
B. 37
C. 4.2
D. 2.1

PLSSSS HELP!!

Answers

Step-by-step explanation:

ang xoz = ang yoz + 5x+16

77 = 44 + 5x+16

77 = 5x+60

5x= 17

x= 3.4

There are 1,000 millimeters in 1 meter. How many millimeters are in
118 meters? Circle the letter of the correct answer.
A 0.0118 millimeter
B. 0.118 millimeter
C118,000 millimeters
D 1,780.000 millimeters
Emily chose B as the correct answer. How did she get that answer?

Answers

Emily must have thought that she needed to divide 1000 by 118 which would have given her 0.118 millimeters. But her answer is wrong because you need to multiply 1,000 millimeters by 118 meters to find how many millimeters are in 118. the correct answer would have been C: 118,000 millimeters

Solve the problem with more than one answer

13-7+8=

Answers

Answer:

14

-83

-43

these anwrers when you make it with different ways.

You nees to get more than one answer with this problem I guess.

13-7+8 = 14

13(-7) + 8 = -83

13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.

Answer:

THERE IS NO OTHER ANSWER THAN 14

Step-by-step explanation:

Only 1 answer can be found by doing this problem in any order:

If we do 13-7 first:
(13-7)+8=

6+8=

14

So 1 answer is 14

If we do -7+8 first:

13+(-7+8) =

13+1=

14

So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.

THERE IS NO OTHER ANSWER THAN 14

im stuck, i dont know where i went wrong. Will brain list, pls help. Evaluate x³-2x²+3x-7/x-1​

Answers

Answer: hii

hopefully this helps you!

Step-by-step explanation:

Simplify the expression.

- Matthew <3

Which of the following is most likely the next step in the series?
od
ОА
O
O B.
OC.
OD.

Answers

The circles in the figures form a series

The next step in the series is (B)

How to determine the next step?

From the figure, we have the following highlights

The first circle has 2 segmentsThe second circle has 4 segmentsThe third circle has 5 segments

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)

Read more about series at:

https://brainly.com/question/6561461

(I.5)
Write the sentence as an equation.

148 is equal to 12 minus z


Type a slash ( / ) if you want to use a division sign.

Answers

Answer:

the verbal sentence so it is easier to translate. ... 12 equals p divided by. 4 n. 2. +. 12. = p. ÷. 4. 4. Half of j minus 5 is the sum of k and 13.

Step-by-step explanation:

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