Points P(-6,10), Q(0,6), and R are collinear. One of the points is the midpoint of the segment formed by the other two points. a. What are the possible coordinates of R? b. RQ=√208. Does this information affect the answer to part a? a. The possible coordinates of R are (, ) (Type an ordered pair. Use a comma to separate answers as needed.)​

Answers

Answer 1

Answer:

  a. (-12, 14), (6, 2), (-3, 8)

  b. yes; R(-12, 14)

Step-by-step explanation:

Points P(-6, 10), Q(0, -6), and R lie on a line, with one of them being the midpoint of the other two. You want to know the possible locations of R, and its location if RQ=√208.

Setup

Point M is the midpoint of AB when ...

  M = (A +B)/2

If M and A are given, then B is ...

  2M -A = B . . . . . . above equation solved for B

a. Possible locations of R

There are three choices for the location of R.

P is the midpoint

  R = 2P -Q = 2(-6, 10) -(0, 6) = (-12, 20-6)

  R = (-12, 14)

Q is the midpoint

  R = 2Q -P = 2(0, 6) -(-6, 10) = (6, 12 -10)

  R = (6, 2)

R is the midpoint

  R = (P +Q)/2 = ((-6, 10) +(0, 6))/2 = (-6, 16)/2

  R = (-3, 8)

The possible coordinates of R are (-12, 14), (6, 2), (-3, 8).

b. R for RQ=√208

The length of the given segment PQ is ...

  d = √((x2 -x1)² +(y2 -y1)²) . . . . . distance formula

  d = √((0 -(-6))² +(6 -10)²) = √(6² +(-4)²) = √(36 +16) = √52

This is half the length of RQ, so we must have P as the midpoint of RQ.

This distance information chooses one of the three points found in part (a), R(-12, 14).

Points P(-6,10), Q(0,6), And R Are Collinear. One Of The Points Is The Midpoint Of The Segment Formed

Related Questions

Pls answer report if bad answer

Answers

Answer:

18

Step-by-step explanation:

24 x 3/4 = 18.

i need an answer!! (marking as brainliest)

Answers

Answer: I hope this helps.

Step-by-step explanation:

question is in picture please help

Answers

Answer:

[tex] \sf {a}^{6} [/tex]

Step-by-step explanation:

Given expression

[tex] \sf \: {a}^{0} \: • \: \: {a}^{6} [/tex]

To find expression solution

power rule

[tex] \sf \: {a}^{m} \: {a}^{n} = {a}^{m + n} [/tex]

[tex] \sf {a}^{0} + {a}^{6} = {a}^{0 + 6} [/tex]

[tex] \sf \therefore \: {a}^{6} [/tex]

[tex] \: \Large \mathbb{SOLUTION:}[/tex]

[tex] \: \: \rm{ {a}^{0} \times {a}^{6} }[/tex]

[tex] \: \: \text{Calculate the power }[/tex]

[tex] \: \: \underline{\underline{\rm{{a}^{6} }}}[/tex]

Helppppp! Line A and Line B are parallel and Line P is a transversal. The measure of angle 3 is 52°.
Find the measures of the rest of the angles in the diagram.

Answers

Answer:

Angle 1: 28 degrees

Angle 2: 52 degrees

Angle 3: 52 degrees

Angle 4: 28degrees

Angle 5: 28degrees

Angle 6 : 52degrees

Angle 7 : 52degrees

Angle 8 : 28degrees

What is the relationship between the volume and surface area of the sphere shown?
V>SA
OV OV=SA

Answers

Answer: mark as brainliest please

Step-by-step explanation:
V=4/3 x 3.14 x 3^3

V= 113.04

SA= 4 x 3.14 x 3^2

SA= 113.04

113.04 is the answer

What are the possible values of x for the following functions? F(x)=2-x / x(x-1)

Answers

Answer:

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Sports regulations usually give the sizes and weights of most sports equipment over a range of values. For each type of sports​ equipment, the diameters and weights to the appropriate type of ball are given in the accompanying table.
A box contains 30 baseballs. Write a compound inequality that shows the range of the weight of the balls. Graph the inequality.

Type of Ball Range of Diameters Range of Weights Tennis ball 2 1/2 inches to 2 5/8 inches no less than 2​ ounces, no greater than 2 1/6 ounces Baseball 2 7/8 inches to 3 inches 5 to 5 1/4 ounces Basketball ​(women's) no less than 9.07​ inches, no greater than 9.23 inches no less than 20​ ounces, no greater than 22 ounces Soccer ball ​(size 5) no less than 21.64​ inches, no greater than 22.28 inches 14.46 ounces to 15.87 ounces

Answers

The compound inequalities for all the balls that are sports regulated are  { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) } for Tennis ball.

{ (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) } for Baseball.

{ (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } for women's Basket ball.

{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 } for Scoccer Ball.

What is the correct way of pronouncing a set in roaster form?

Suppose we are given { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } this reads as The set of all x comma y such that x is between this range and y is between in this range.

Sports regulations have some rules that the diameters and weights of sports pieces of equipment must lie between the regulations that have been set.

We are denoting the Diameters of the balls as x in inches and the weights of the balls as y in ounces.

Now for a Tennis ball the range for x and y can be written in roaster form of set is { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) }.

For Baseball it is { (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) }.

For women's Basketball it is { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 }.

For Soccer ball the set in roaster form can be written as

{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 }.

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In 2019, Company A purchased a commercial building with 8 retail units for $4,200,000. In 2021, Company A decided to sell this building for $4,500,000. Interpret the change as a percentage. Round to the nearest hundredth.

Answers

The change as a percentage is 6.7 %

How to calculate the percentage change ?

The price of the building in the year 2021 is $4,200,00

The price of the building in 2021 is $4,500,000

Therefore the percentage change can be calculated as follows

= 4,500,000 - 4,200,000/4,500,000 × 100

= 300,000/4,500,000 × 100

= 0.066 × 100

= 6.7 %

Hence the percentage change is 6.7%

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need help in algebra 2

Answers

Answer:(-2,2)

Step-by-step explanation:

!!!100 POINTS!!! Correct answer gets brainliest.

The total payroll for a baseball team is 2.37 x 109 dollars, and the total payroll for a football team is 2.8 x 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?

4.3 x 1011 dollars
2.7763 x 1011 dollars
2.7763 x 109 dollars
0.43 x 109 dollars

Answers

Based on the total payroll of the football team and the total payroll of the baseball team, the difference is 2.7763 x 10¹¹

What is the difference in payroll?

The total payroll of the baseball team is:
= 2.37 x 10⁹

= $2,370,000,000

The total payroll of the football team is:

= 2.8 x 10¹¹

= $280,000,000,000

The difference is:

= 280,000,000,000 - 2,370,000,000

= $277,630,000,000

In scientific notation this is:

= 2.7763 x 10¹¹

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Answer:

b 2.7763 x 1011

Step-by-step explanation:

Using the parent function, f(x)

, graph the new function after the transformations listed below:


a) Reflect the graph about the x-axis.

b)Vertical compress by a factor of 13 .

c) Vertical shift up 2.

d) Horizontal shift right 3.

Answers

The graphs of the transformed functions are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

How to graph the transformed functions?

Here we have the quadratic parent function:

f(x) = x^2

And we want to apply some transformations, and then graph them.

The transformations are:

a) "Reflect the graph about the x-axis."

This is written as:

g(x) = -f(x)

Replacing f(x) by the actual function:

g(x) = -x^2

b) "Vertical compress by a factor of 13"

This is written as:

g(x) = f(x)/13 = x^2/13

c) "Vertical shift up 2."

This is written as:

g(x) = f(x) +2 = x^2 + 2

d)  "Horizontal shift right 3."

This is written as:

g(x) = f(x - 3) = (x - 3)^2

The graphs are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

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In Exercises 1–10, determine whether each relation is a function.
Give the domain and range for each relation.
7 . {(-3, -3), (-2, -2), (-1, -1), (0, 0)}

9. {(1, 4), (1, 5), (1, 6)}

Answers

The relation 7 is a function and the relation 9 is not function.

How to determine whether each relation is a function?

Relation 7

The relation is given as

{(-3, -3), (-2, -2), (-1, -1), (0, 0)}

For a relation to be a function, no x value must point to multiple y value

Using the above statement as a guide, the relation is a function.

This is so because each domain value {-3, -2, -1, 0} point to different range value {-3, -2, -1, 0}

Function 9

The relation is given as

{(1, 4), (1, 5), (1, 6)}

For a relation to be a function, no x value must point to multiple y value

Using the above statement as a guide, the relation is not function.

This is so because each domain value {1} point to the same range value {4, 5, 6}

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((12-4)(3-2))^2 + square root of 64

Answers

Answer: 72

Step-by-step explanation: First step that I did was to subtract 12 and 4 to get 8. I then subtracted 3 and 2 to get 1. Then since 8 and 1 are in the parenthesis, I multiplied 8 and 1 to get 8. 8 to the 2nd power then comes out to 64. 64 adding the square root of 64 which is 8 then comes out to 64 plus 8 because the square root of 64 is 8. 64 plus 8 equals 72.

Solve by using the quadratic formula. Express the solution set in exact simplest form. y^2-7y-9=0

Answers

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}y^2\stackrel{\stackrel{b}{\downarrow }}{-7}y\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad y= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ y= \cfrac{ - (-7) \pm \sqrt { (-7)^2 -4(1)(-9)}}{2(1)} \implies y = \cfrac{ 7 \pm \sqrt { 49 +36}}{ 2 } \\\\\\ y= \cfrac{ 7 \pm \sqrt { 85 }}{ 2 }\implies y= \begin{cases} \frac{ 7 + \sqrt { 85 }}{ 2 }\\[1em] \frac{ 7 - \sqrt { 85 }}{ 2 } \end{cases}[/tex]

Points A and B have coordinates A(-4, 2) and B(3,-6). Find the coordinates of point P, the weighted average of points A and B, in which point A
has a weight of 2 and point 8 has a weight of 5.
A) (-2,-²)
B) (-2)
C) (1,-)
D) (1,-13)

Answers

Answer:

  C)  P(1, -26/7)

Step-by-step explanation:

You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.

Weighted average

Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.

  P = (2A +5B)/(2+5)

  P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7

  P = (1, -26/7)

The coordinates of P are (1, -26/7).

find 1/3 + 3/43 sums and differences

Answers

Answer:

52/129

Step-by-step explanation:

Olivia counted thirty blue cars, ten red cars, and forty white cars in the parking lot. What is the ratio of white cars to blue cars, according to Olivia’s count?

3 to 4


1:4


4:1


43

Answers

Answer: I say 4/3 the fraction so your answer is D

Explanation: Because its white cars to blue cars the problem is whats equivalent to the ratio 40 to 30, 4:1 is not the same as 40 to 30 neither

is 1:4 or 3 to 4 So its D. :)

Write the improper fraction 30/7 as a mixed number

Answers

Answer:

Step-by-step explanation:

30/7 = 4 2/7

Because 7 only goes into 30, four times (7 x 4 = 28) anything else would be too big.

7 goes into 30 four times, and you get left with a remainder of 2

So you write 4 wholes, then 2/7 because 2 is the remainder it goes on top, and 7 stays in the denominator (bottom)

can someone help me with this

Answers

Step-by-step explanation:

so it starts with

182 = 182 × 3 / p

as the price is inversely related to D.

(a)

so, in general

D = 182 × 3/p = 546/p

(b)

D = 546/3.25 = 168 bags

if the price increases to $3.25, then they will sell only 168 bags.

I am sure, the function will not stay linear for every value of p. for example, if they increase the price to $546 per bag, they would still sell 1 bag. but I am certain, they would fall to 0 sold bags much, much earlier than that ...

-1/3y+4x=3 solve for y

Answers

Answer: y = 12x − 9

Step-by-step explanation:

Let's solve for y

-1/3y +4x = 3

Step 1: Add -4x to both sides.

4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3

Step 2: Divide both sides by (-1)/3.

-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9

1. Simplify
-y/3+4x=3
2. Regroup terms
4x-y/3=3
3. Subtract 4x from both sides
-y/3 =3-4x
4. Multiply both sides by 3
-y=(3-4x)•3
5. Regroup terms
-y=3(3-4x)
6. Multiply both sides by -1
y=-3(3-4x)

What is 51 rounded to the nearest tenth subtracted by 20?

Answers

51 to the nearest tenth is 50, so 50-20=30 hope that helps

The length of a rectangle is 4yd longer than its width.

If the perimeter of the rectangle is 68yd, find its length and width.

Answers

Answer:

Length= 19 yd

Width= 15 yd

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides.

Mathematically, it can be represented as below:

[tex]\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}[/tex]

Define variables used:

Let the length and width of the rectangle be L and W yards respectively.

Form an equation:

Given that the length of the rectangle is 4 yards longer that the width,

L= W +4 -----(1)

Next, form another equation using information on the perimeter.

68= 2(L +W) -----(2)

Substitute equation (1) into (2):

68= 2(W +4 +W)

68= 2(2W +4)

Divide both sides by 2:

34= 2W +4

Subtract both sides by 4:

2W= 34 -4

2W= 30

Divide both sides by 2:

W= 30 ÷2

W= 15

Substitute W= 15 into (1):

L= 15 +4

L= 19

Therefore, the length and width of the rectangle is 19 and 15 yards respectively.

Additional:

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when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to congestion on the highway if the total traveling time for the round-trip is 50 minutes 5/6 of an hour find the distance between Dallas‘s workplace and home

Answers

The required distance is 16.40 km.

This problem can be solved if we know the concept of speed, time and distance.

We know the speed=[tex]\frac{distance}{time}[/tex]

To solve the problem let us assume that the total distance between the workplace and home is x km.

Given that his speed while going from home to work is 45 mph and while returning is 35 mph.

Time for the complete journey is [tex]\frac{5}{6}hr[/tex].

Now according to question;

   [tex]\frac{x}{45}+\frac{x}{35}=\frac{5}{6}[/tex]

⇒[tex]\frac{7x+9x}{315}=\frac{5}{6}[/tex]

⇒[tex]16x=\frac{5*315}{6}[/tex]

⇒ [tex]x=\frac{5*315}{6*16}[/tex]

∴ [tex]x=16.40\ km[/tex]

So, the required distance is 16.40 km.

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is 35 over 56 a improper fraction and is 144 over 196 a improper fraction ​

Answers

35 over 56 is a proper fractions because 35 is lesser than 56 so it's proper likewise 144 over 196

14. 5.2v-6-8.5v simplify

Answers

The answer of the given equation will be  -6 - 3.3v

For doig the sum we need to first know what is algebric simplification

So Algebric Simplification is basically  is writting the same algebric expression with no same term in a compact manner. For solving the simplification weed to first group the like terms and solve the brackets first if any then in that simplified equation we will be left with unlike variables that cannot be simplified further.

To make it more easier remember the rule of BODMAS it stands for Brackets Of Dvision Multiplication Addition Substraction in any sum where it will be asked to simplify any expression we will go by the order of the above BODMAS rule first we will solve the brackets after that divisions then multiplications followed bty addition and subtraction .

In the given sum as these r not given we will simply group the expressions with alike variable that is (5.2v - 8.5v) which will result in - 3.3v and we cannot to  do any further calculations so the answer will be -6 - 3.3v

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Can you please help me

Answers

Answer:

1) -√9

2) √18

3) |4.5|

Step-by-step explanation:

-√9 = -3

√18 = 4.2426406871 = 4.2

|4.5| = 4.5

Absolute value - Those two lines mean that any number, positive or negative, will be positive.

Hope this helps :)

Solve for m
m + k ÷ h = w
Literal Equations

Answers

Answer:

m+k=hw

m=hw-m

always conside BODMAS rule and subject

please help asap and explain how you got it so i can understand.​

Answers

Answer:

q = 6

Step-by-step explanation:

|q - 8| = 14

The negatives within an absolute value turn positive so it's really:

q + 8 = 14

q = 6

There are 100 marbles in a bag. 16 are green, 32 are blue, 17 are red, 29 are yellow, and 6 are orange. True or False: 68% of the
marbles are blue

Answers

Answer:

False

Step-by-step explanation:

32 marbles are blue
32/100 = 32%, not 68%

during last year my car depreciated by 30%. If the value of my car is $25,000 today, then what was the value of my car one year ago?

Answers

The value of my car one year ago was $35,714.3

INTEREST FORMULA: The interest formula includes two types of interests - simple interest and compound interest. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The compound interest formula and the simple interest formula are both discussed in the interest formula.

Present value of the car = A = $25,000

Depreciation rate = r = 30% per annum

Time = t = 1 year

Let the initial value be p

We know the formula, A = P(1 – r/100)^t

$25,000 = P [1 – 30/100] ^1

$25,000 = P (7/10)

P = (25,000 * 10) / 7

P = $35,714.3

Therefore, One year ago, my car's value was worth $35,714.3.

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