QR has a midpoint at M(8,8). Point R is at (10, 10). Find the coordinates of point Q. Write the coordinates as decimals or integers.​

Answers

Answer 1

Answer:

Point Q:  ( 6, 6)

Step-by-step explanation:

    (10, 10)

- 2 (8, 8)

      ( 6, 6)

Answer 2

Answer:

Point Q is at (6, 6).

Step-by-step explanation:

Segment QR has a midpoint M at (8, 8).

Point R is at (10, 10), and we want to determine the location of Point Q.

First, recall that the midpoint is given by the formula:

[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]

We will let R(10, 10) be (x₁, y₁). We are also given that M is at (8, 8). Therefore:

[tex]\displaystyle (8, 8)=\Big(\frac{10+x}{2}, \frac{10+y}{2}\Big)[/tex]

This gives us two cases:

[tex]\displaystyle \frac{10+x}{2}=8\text{ and } \frac{10+y}{2}=8[/tex]

Solve for each case. Multiply both sides by 2:

[tex]10+x=16\text{ and } 10+y=16[/tex]

And we can subtract 10 from both sides:

[tex]x=6\text{ and } y=6[/tex]

Therefore, Point Q is at (6, 6).


Related Questions

Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'

Answers

Answer:

Step-by-step explanation:

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

                                              = [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]

                                              = (1, 0)

Therefore, x = 1 will be the line of reflection.

A 4-column table with 4 rows titled Population Data. Column 1 has entries 4, 5, 9, 15. Column 2 has entries 8, 2, 20, 1. Column 3 has entries 6, 9, 10, 8. Column 4 has entries 10, 8, 1, 2.
If Serena selects 4 samples from the table, which row will give her largest mean?


Which row will give her the smallest mean?


The actual population mean will be between

.

Answers

Answer:

row 3

row 2

6 and 10

Answer:

The answers are 1( row 3 ) 2( row 2 ) 3( 6 and 10 )

Step-by-step explanation:

I got it right on edge and also the person above me is correct have a wonderful day. (✿◠‿◠)

the difference of 4 , and 5 times h

Answers

Answer:

Step-by-step explanation:

4 - 5*h

The question is not totally clear. It could be the other way around.

5h - 4

Given the grammar, I'll stick with the first answer.

ONE of Michael's birds came out of the cage and flew away.
What is the probability that a yellow bird flew away?
Give your final answer as a decimal number.​

Answers

Answer:

100.0 bc it is ONE bird or 100%?????

195/100 as a percentage?​

Answers

The percentage of 195/100 is 195%

Answer:

1.95

Step-by-step explanation:

195/100

This is tricky.

So imagine this.

195/100

100 signals 1.00

This means that 1.00 will have it's zeros taken outirrdf jsl

ARGHHHHH!

TAKEN OUT, DANG IT!

ANYways, this is 1. now

The decimal signals and

We merge the 1. and the 95.

Wow! 1.95bouuuuuuuuuurllebigtiub

OMG!

You get the idea.

The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.

Answers

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

Answer:

2400 just believe me I’m correct

Help me or the dirty dogo will steal your Laffy Taffy

Answers

Answer:

A D F

Step-by-step explanation:

i think

pls mark brainliest

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less

Answers

Answer:

The minimum sample size which should be used is 315.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.

This means that [tex]\pi = 0.92[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?

The minimum sample size that should be used is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]

[tex]n = 314.2[/tex]

Rounding up

The minimum sample size which should be used is 315.

Please help I will give brainliest

Answers

Answer:

A.

Step-by-step explanation:

Rectangle: Length * Width

       —> 12 * 2 = 24

Triangle: Base * Height * 1/2

       —> 12 * 2 * 1/2 = 12

Matches answer A.

Please Help No fake answers

Answers

Answer:

5.09 or 5.10(if u round up)

Step-by-step explanation:

When you convert √24 it will be 5.099

The decimal point must lie between 5 and 0

Hope this helps:)

In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?

Answers

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

Which of the following is true about the expression 7 + V3?

Answers

Answer:

is this a multiple-choice question?

Step-by-step explanation:

**i'll go back and change my answer, i promise**

Pls help I need a good grade

Answers

Answer:

Step-by-step explanation:

13). [tex]-\frac{q}{7}\geq -1[/tex]

     [tex]\frac{q}{7}\leq 1[/tex]

    [tex](\frac{q}{7}\times 7)\leq (1\times 7)[/tex]

      q ≤ 7

14). -12x < 60

      12x > -60

      [tex]\frac{12x}{12}>\frac{-60}{12}[/tex]

      x > -5

15). 5 > z - 3

     5 + 3 > z - 3 + 3

     8 > z

16). 0.5 ≤ [tex]\frac{y}{8}[/tex]

     0.5 × 8 ≤ [tex]\frac{y}{8}\times 8[/tex]

     4 ≤ y

Now we can draw these inequalities on a number line.

Find the mean, median, and
mode of this data set:
2, 3, 4, 5, 5, 6, 8

Answers

Answer:

Mean: 4.71

Mode: 5

Median: 5

Step-by-step explanation:

What if I had 1/3x^3, would this be a vertical stretch or vertical compression?

Answers

Vertical compression

Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are

xÌ… = 20 milligrams / 1000cycless
s1= 2 milligrams/1000cycles and for company 2, you obtain

xÌ… 2 = 15 milligrams /1000cycles

and
s2= 8 milligrams / 1000cycles

Required:
a. Do the data support the claim that the two companies produce material with different mean wear? Use α = 0.05, and assume that each population is normally distributed but that their variances are not equal. What is the P-value for this test?
b. Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2? Use the same assumptions as in part (a).
c. Construct confidence intervals that will address the questions in parts (a) and (b) above.

Answers

Step-by-step explanation:

Due to the time it took to solve this question, I had little time to type the answers fully

The answers are contained fully in the attachment I have uploaded.

A. H0: u1 = u2

H1: u1 not equal to u2

The t statistics was solved to be 3.03

The degree of freedom was solved to be 26

Given this information, this is a 3 tailed test, critical value at 5% = +-2.056

T stat > critical value

We therefore reject the null hypothesis at 5% and conclude they have different mean wear

The p value is calculated using excel and the result is 0.00544

We reject null at 5% since p value is less than 0.05

B. H0: u1 = u2

H1: u1>u2

Alpha = 0.05

Following a,

Test stat = 3.03

Df = 26

Critical value for 1 tailed test = 1.706

Test stat > 1.706

We reject H0 and conclude company 1 has higher mean wear.

We find p value for a right tailed distribution using excel

Tdist(3.03,26,1)

= 0.002722

We reject h0

C. Confidence interval

1.610 < u < 8.390

What is the surface area of a cube with an edge length of 8 inches?

384 in.
288 in.
192 in.
512 in.

Answers

The answer would be 384in²

What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1.

Answers

Answer:

58.1

Step-by-step explanation:

What is 1,987 rounded to the nearest thousand?

Answers

Answer: 2000 hope this helps. Can u give me brainliest

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

Since there's a 9 before the 1 you would round up the 1,987 to 2,000

Carson is g years old Haley is 2 yrs younger then Carson. find the sum of their ages in terms of g

Answers

Answer:

2g-2

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

Answer

2g -2

Step-by-step explanation:

Carson is =gHarley = 2-g

Select the correct answer from each drop-down menu.


A camp director developed the function m(c) = 12c + 80 to model the total cost of taking c campers on a field trip to the movies.


In the camp director’s function, the number of campers is the _______ variable and the total cost of the trip _________


1. ( independent, dependent )

2. ( changes by a constant factor per camper, Changes by a constant amount per camper )

.

Answers

Answer:

(a) Independent variable

(b) The constant factor is 12

Step-by-step explanation:

Given

[tex]m(c) = 12c + 80[/tex]

c = campers

m = total cost

Solving (a) What type of variable is the number of campers (c)

The total cost (m) is dependent on the number of campers (c) for its own value.

In other words, if c changes from 5 to say 7, the value of m will also change.

This implies that the number of campers is an Independent variable

Solving (b): Constant factor

This in other words means, rate of change (or slope)

A linear function is:

[tex]y = ax + b[/tex]

Where a represents the slope

By comparison with: [tex]m(c) = 12c + 80[/tex]

Hence, the constant factor is 12

Answer:

dependent, changes by a constant factor per camper.

Step-by-step explanation:

Is this a rational number

Answers

Answer:

Note that it is not a perfectly elastic result so it is irrational

PLZ ONLY TYPE IN SSS , ASA, SAS, AAS, HL) IF
the triangles are not congruent, type in NEI

Answers

sas sss is the correct answer

In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected with replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major

Answers

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that [tex]p = 0.53[/tex]

9 of those survey subjects are randomly selected

This means that [tex]n = 9[/tex]

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

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

[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.


16 km
d) radius =
diameter =

Answers

Answer:

the radius is half the diameter. radius = 8 diameter =16

Step-by-step explanation:

A gadget company randomly selects 10 toys per hour to inspect. The number of defective toys in the last six samples is shown in the table.

Based on this information, how many toys are likely to be defective in a sample of 500?

A: 1

B: 5

C: 50

D: 300

Answers

Answer:

50

Step-by-step explanation:

Using proportions, it is found that the number of toys that is likely to be defective in a sample of 500 is given by:

C: 50

What is a proportion?

A proportion is a fraction of a total amount.

For the samples of 10, the mean number of errors is of:

( 0 + 2 + 1 + 1 + 2 + 0)/6 = 1

Hence, for samples of 500, the expected number of defective toys will be given by:

E = (500/10) x 1 = 50

Hence, option C is correct.

More can be learned about proportions at https://brainly.com/question/24372153

Pls help me with this problem

Answers

Answer:

what is your problem?    

Step-by-step explanation:

Two students share 3/4 of a pound of peanuts. How much of a pound does each person get

Answers

3/2 is the correct answer
Answer: 3/8
Step-by-step explanation: 3/4 divided by 2 or .75/2

A rectangular box is to have a square base and a volume of 63 ft3. If the material for the base costs $0.22/ft2, the material for the sides costs $0.09/ft2, and the material for the top costs $0.20/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.

Answers

9514 1404 393

Answer:

   3 ft square base, 7 feet high

Step-by-step explanation:

For minimum cost, each pair of opposite sides costs the same as any other pair of opposite sides.

If s is the edge length of the base, then the areas of the top and bottom are s² and their total cost is ...

  (s²)(0.22 +0.20) = 0.42s² . . . . cost of top and bottom

__

For a volume of 63 ft³, the height of the side of the box is ...

  63/s² = h

and the area of one side of the box is ...

  hs = 63/s

A pair of opposite sides will have a cost of ...

  (63/s)(0.09 +0.09) = 11.34/s . . . . cost of a pair of opposite sides

__

We want these two costs to be the same, so we have ...

  0.42s² = 11.34/s

  s³ = 11.34/0.42 = 27

  s = ∛27 = 3 . . . . feet

  h = 63/s² = 7 . . . . feet

__

The box dimensions are 3 feet square by 7 feet tall.

_____

Additional comment

Each pair of opposite sides will cost $3.78, so the total cost of the box is $11.34.

For the non-believers, we have shown a graph of the total cost of the box as a function of the base dimension (s). It has a minimum at $11.34 when s=3. You can find that by differentiating the cost function and and finding the zero(s) of that (or by reading the values from the graph).

GEOMETRY!!!! Will give brainliest

Answers

Answer: rectangle


Hope itz right
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