given M is the midpoint of RS . RM=x+3 and MS=2x-1 . x=? and RM= ?

Answers

Answer 1

Answers:

x = 4

RM = 7

======================================================

Explanation:

The midpoint cuts the larger segment RS in two equal halves, so RM = MS

RM = MS

x+3 = 2x-1

3+1 = 2x-x

4 = x

x = 4

RM = x+3

RM = 4+3

RM = 7

MS = 2x-1

MS = 2*4-1

MS = 7

Both RM and MS are 7 units long, which confirms our answers.

RS = RM+MS

RS = 7+7

RS = 14


Related Questions

On which interval is y = sin(x) strictly increasing?


(Negative pi, negative StartFraction pi Over 2 EndFraction)

(0, pi)

(StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction)

(0, StartFraction pi Over 2 EndFraction)

Answers

Answer:

The function is strictly increasing on (0, π/2)

Step-by-step explanation:

We are given the function;

y = sin x

Let's find the derivative;

dy/dx = cos x

Now, Cos 0 = 1

Cos (π/4) = 1/√2

Cos (π/2) = 0

From the above, we can see that as x approaches 0 from (π/2), the value of (cos x) approaches 1. This means it's increasing from 0 to 1.

Thus, the function is strictly increasing on the interval (0, π/2)

Answer:

D. (0, pi/2)

Step-by-step explanation:

If you graph y=sin(X) (I used desmos) then you find that the graph is increasing from 0 to pi/2  :)

Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use

In many states you must be at least 16 years old to obtain a driver's license?

Answers

Answer:

You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.

Step-by-step explanation:

You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.

Janice wants to find the area of a square tabletop.She uses the formula for the area of a square: A=s2, where s is the length of one side of the square.If s= 3 feet what is the area of the tabltop

Answers

Answer:9

Step-by-step explanation:

You said that the areas is one side multiplied by 2. If one side (S) is 3, then 3 x 3 = 9.

what is the most amount of change you can have in your pocket, but still not be able to give someone exact change for $1.00?

Hint: it is over $1.00 worth of change.

Answers

Answer: If you have three quarters, four dimes, and four pennies, you have $1.19, the largest amount of money in coins you could have without being able to make change for a dollar

Find the slope between the following two points.
(9, 0), (12, -1)

Answers

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{-1-0}{12-9}=\frac{-1}{3}=-\frac{1}{3}[/tex]

Hope this helps.

Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees​

Answers

Answer:

I = $ 1,937.50

Step-by-step explanation:

Find the slope of the line that passes through:
(-4,7) and (-6, -4)

Answers

Answer:

Ok:

Step-by-step explanation:

The formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.

11/2 or 5.5 is your answer bud

HELP ASAP! TEST QUESTION! p varies directly with q and that p=66 when q=11. What is the value of p when q =2

Answers

Answer:

12

Step-by-step explanation:

if p=66 then q=11 that simply means p is 6 times greater than q. so if q=2 then p=12

The Hu Family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

i think its 64.66

Step-by-step explanation:

07x53=3.71

0.15x53=7.95+53=60.95+3.71=64.66

Answer:

$64.66

Step-by-step explanation:

find the amount of tax 53 x .07 = 3.71

find the amount of the tip 53 x .15 = 7.95

53 + 3.71 + 7.95 = 64.66

A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answers

Complete question is;

The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the​ program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this​ result? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or decimals rounded to four decimal places as​ needed.)

Answer:

We would conclude that the new program doesn't seem to be more effective than the old program.

Step-by-step explanation:

We are given;

Population mean; μ = 91

Population standard deviation; σ = 10

Sample mean; x¯ = 90.7

Sample size; n = 19

Formula for z-score

z = (x¯ - μ)/(σ/√n)

z = (90.7 - 91)/(10/√19)

z = -0.131

From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;

P-value = 0.4479

This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.

On which number line are -3 and its opposite shown?
-10
-9
8
-7
-6
-5
4
3
O
1
2
3
4
5
6
7
8 9
10
-10-9-8-7 -6
-54
3
2.1
0
1
2
3
4
5
6
7
8 9
10
toto+
-10-9
-8-7
-6
-5-4
3
2
.1
0
1
2
3
4
5
6
7
8 9 10
- 10 9 8 7
3 2
-1
0
1
2
3
4
6
7
8
9 10

Answers

Answer:

it is on the farthest to the left of the screen


5.76

228
35



Which list shows the lengths in order from greatest to least?

Answers

Answer:

the correct order of these from greatest to least is. 228, 35, 5.76

PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.

A. On which day did Elsa reach farther: the second or third day?

B. By how much?​

Answers

Answer:

A) The second day

B) 9/16 inches

A) Elsa reached farther on the second day because -1/16 > -5/8

B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:

-1/16 - (-10/16) = 9/16

Elsa reached 9/16 inches farther on the second day then she did on the first.

Hope this helps and have a great day!

Also stay safe! :))))

this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2​

Answers

Answer:

have you found the answer I need it to

For question A, I figured out one of the expressions is n^2+2, but I need two, and I have no idea what the second one could be.

For B, I figured out it’s a Quadratic function, but I need help explaining why.

For C, I have nothing.

Answers

C is your correct answer i think ao

Need help with this one fast

Answers

Answer:

a ≈ 43.64

hope this helps

The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.

Answers

Answer: yes

Step-by-step explanation:

this month 3485.78/4 = 871.445 gallons per person

Drought month 7250.50/4 = 1812.625

difference 7250.50 - 3485.78 = 3764.72

Describe the end behavior of the graph f(x) using limits.

Answers

Answer:

um

Step-by-step explanation:

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Option B is the correct answer.

We have,

From the graph,

As the x-value increases, the function y-values goes to -∞.

As the x-value decreases, the function y-values goes to -∞.

Now,

f(x) is the y-value.

The end behavior of the graph f(x) using limits can be represented as,

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Thus,

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

The height, hh, of a plant (in inches) ww weeks since it was planted is represented by the equation h=1.2w+3h=1.2w+3. How many weeks ( round up to the nearest whole number) will it take the plant to reach one foot? ( Hint: convert feet to inches.) Answer value

Answers

Answer:

It will take 8 weeks for the plant to reach one foot.

Step-by-step explanation:

The equation is:

[tex] h = 1.2w + 3 [/tex]

Where:

h: is the height = 1 foot

w: is the time in weeks =?

We can convert feet to inches as follows:

[tex] 1 feet = 12 inches [/tex]

[tex] h = 1 ft*\frac{12 in}{1 ft} = 12 in [/tex]

Hence, the number of weeks is:

[tex] w = \frac{h - 3}{1.2} = \frac{12 - 3}{1.2} = 7.5 = 8 [/tex]

Therefore, it will take 8 weeks for the plant to reach one foot.

I hope it helps you!                                

A skydiver falls 60 feet in five seconds. How far does the skydiver fall per
Second

Answers

Answer:

12 feet

Step-by-step explanation:

60/6 = 12

Answer:

8 feet per 1 second

(without drag or windcurrents)

Step-by-step explanation:

60÷5=8

Please help ASAP 4 and 5 will mark brainliest and give 10 points

Answers

Answer

I know the answer to number 4 is No

Step-by-step explanation:

Because when you plug the coordinates (8,-44) into the equation y=-7x+6 it gives the wrong output of -50

help please thank you
Mary did the following problem.

57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9

Which of the statements is true?

It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11

Answers

Answer:

its C

Step-by-step explanation:

i got this right on my quiz

Answer: it's wrong because subtraction comes before addition

Step-by-step explanation:

in the order of operations, there is PEMDAS

parentheses  

exponents

multiplication

addition

subtraction

from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...

57-36+48

moving left to right you would do 57-36 first

The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.

Answers

Answer:  Remainder = 3

===================================================

Explanation:

The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.

The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.

So we'll need to evaluate p(-1)

To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.

From point A, draw a horizontal line to the y axis. You should reach y = 3.

This is all shown in the diagram below.

In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.

So the remainder is 3.

Answer:

3

Step-by-step explanation:

evaluate this
| 5+-3-2 |

Answers

Answer:

0 is the answer

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

5+-3= -2

-2-2=0

Which expression is equal to (5−2i)−(1+3i)

Answers

Answer:

4-5i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

(5-2i)-(1+3i)

5-2i-1-3i

5-1-2i-3i

4-5i

I need help with this geometry

Answers

the answer i got is (2,5)!
hopefully i’m not wrong

Find the distance between the points -6.2 and -9.8.Show your work for full credit.

Answers

Answer:

it is 3.6

Step-by-step explanation:

it's in the pictures below.

Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of business on June 30. Outstanding checks as of June 30 total $1,829. The June 30 bank statement lists a $16 bank service charge. Check No. 919, listed with the canceled checks, was correctly drawn for $467 in payment of a utility bill on June 15. Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of $476. The June 30 cash receipts of $2,856 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement.

Answers

Answer:

Adjusted bank balance $11,582

Adjusted book balance $11,582

Step-by-step explanation:

Preparation of bank reconciliation statements

DEL GATO CLINIC Bank Reconciliation

June 30

Bank statement balance $10,555

Add: Bank deposit $2,856

Total $13,411

Deduct: Outstanding checks $1,829

Adjusted bank balance $11,582

($13,411-$1,829)

DEL GATO CLINIC Bank Reconciliation

June 30

Book balance $11,589

Add: Error in check $9

($467-$476)

Deduct: Bank charges$16

Adjusted book balance $11,582

($11,589+$9-$16)

Therefore Adjusted bank balance will be $11,582 while Adjusted book balance will be $11,582

Find the sale price of the item. Round to two decimal places if necessary.


Original price: $76.00

Markdown: 33%


The sale price is $ .


PLZ ANSWER ASAP!

Answers

25.08 I think
I divided 76.00 by 33
$50.92 would be the sale price of the item

8(x+1)-7x ≥-3 help me find the solution

Answers

Answer:

x [tex]\geq[/tex] 11

Step-by-step explanation:

[tex]8\left(x+1\right)-7x[/tex]

[tex]8x+8-7x[/tex]

[tex]x+8[/tex]

Then..

[tex]x+8\ge \:-3[/tex]

Subtract 8 from both sides

[tex]x+8-8\ge \:-3-8[/tex]

Then, you got your awnser.

[tex]x\ge \:-11[/tex]

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