Mathematics Middle School

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT of the polygon?

4 unit
6 units
7 units
11 units

Answers

Answer 1
they are both on the 2 of the y-axis, so now all you have to do is subrtact the x-axis coordinate of R by the x-axis coordinate of T. That would be (-6)-5 = -11. YOUR ANSWER IS NOT -11. Signs don't matter when your attempting to find distance. Just forget the negative sign(-). It has nothing to do with the answer.
YOUR ANSWER IS 11 UNITS!!!
Answer 2

When two coordinates are given and asked to find distance between those points or length of line segment made by joining those points, then you can use the distance formula for 2 dimension.

The length of RT is given by:

Option D: 11

Given that:A side of a polygon is named RTThe endpoints of RT are R(-6, 2) and T(5, 2).To find:

Length of RT

Formula of distance between two points (x,y) and (p,q) is given by:

[tex]\text{Distance((x,y), (p,q))} = \sqrt{(x-p)^2 + (y-q)^2}[/tex]

Thus, we have:

[tex]|RT| = \sqrt{(-6-5)^2 + (2-2)^2} = 11 \: \rm units[/tex]

Thus,  the length of RT is given by:

Option D: 11

Learn more about length of a straight line segment here:

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Related Questions

A fair charged $2.50 admission for adults and a dollar for children. The receipts for 1 day were $1951 on 1300 paid admissions. How many adults attended the fair that day?

Answers

x = adults
y = children

x + y = 1300
2.5x + y = 1951 Subtract these two equations.
-1.5x = - 651 
x = -651/-1.5
x = 434 Adults

y = 1300 - x
y = 1300 - 434
y = 866 children

Assumed all children
1300 x 1 = $1300

Extra collection:
1951 - 1300 = $651

Difference in price = $2.50 - $1.00 = $1.50

$651 ÷ 1.5 = 434 adults

1300 - 434 = 866 children

Ans: 434 adults and 866 children

A machine can produce 6 yards of fabric in 2 minutes.how much fabric can the machine produce in 1 hour

Answers

Multiply 6 by 60 to get 360 then divide that by two and you'll get your answer which is 180

The quantity of fabrics the machine can produce in 1 hour given the ratio is 60 yards

How to solve using ratio?

let

x = quantity of fabrics produced in 1hr

conversion of time

60 minutes = 1 hour

Ratio of fabrics to time taken

6 : 2 = x : 60 minutes

6/2 = x / 60

cross product

6 × 60 = 2 × x

120 = 2x

x = 120/2

x = 60 yards

Therefore, the quantity of fabrics the machine can produce in 1 hour given the ratio is 60 yards

Learn more about ratio:

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Approximate the value of 5 pie

Answers

Slightly more than 15
Pi is equal to 3.14159265358979... (and so on, because it's an irrational number).

We can see that pi is a little bit more than 3. Multiplying this times 5 gives a lil bit more than 15.

D

Please find x: 3x − 1 = 2x − 1

Answers

Hello there!

3x - 1 = 2x - 1

Start by subtracting 2x on both sides

3x - 1 - 2x = 2x - 1 - 2x

x - 1 = - 1

Then add 1 on both sides

x - 1 + 1 = -1 + 1

x = 0


I hope this helps!

As always, it is my pleasure to help students like you.
Your Question : Find X in 3x - 1 = 2x - 1
======================================================================
SOLVING.....

3x − 1 = 2x − 1

Subtract 2x from each side
3x − 1 − 2x = 2x − 1 − 2x
x − 1 = −1

Add 1 to each side
x − 1 + 1 = −1 + 1
x = 0
====================================================================
CHECKING.....

Substitute 0 for x in 3x − 1 = 2x − 1
3(0) − 1 = 2(0) − 1
0 - 1 = 0 - 1
-1 = -1
This is true so x does equal 0

Who else has to do IXL it sucks

Answers

lol

just multiply 7

by -9, 7 times

A scatter plot is shown below: Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot? (1 point) (4, 9.5) and (10, 5.5) (5, 0) and (10, 10) (0, 6) and (5, 0) (0, 9.5) and (10, 1.5)

Answers

I would think  (10,1) and (1,9) would make the most accurate line of best fit since it is surrounded by most points. Would you agree? Since the (10,0) may just be an anomaly plot.

Can someone help me with this question me and my friends are fighting over it?
13.The letters R, W, A, and E are arranged in a random order. What is the probability that the arrangement forms the
words WEAR or WARE?
A. 1/2
B. 1/6
C.1/12
d.1/24

Answers

Okay so I am not 100% sure but I think it is C. 1/12;

Because if you rearrange all the letters so that W is is the beginning you get 6 different combinations.

Then I multiplied those 6 combinations by 4 because there are 4 letters.

Once I multiplied I got 2/24 because there are 24 possibilities in total, and we are looking for the probability of getting those 2 combinations.

I simplified 2/24 to its lowest form and I got 2/24 = 1/12.

So the correct answer is C.1/12, hope this helps!

- Alyssa T.

Find the volume of a rectange 9 in., 3 in., 6 in.

Answers

V= length x width x height.
9 x 3 x 6 =162
162 inches cubed!
 volume formula: base x height x width                                                                   9 x 3 x 6= 162 in


Use benchmarks to choose the customary unit you would use to measure each height of a computer with a fit length of a semi truck the amount of liquid a bathtub holds.

Answers

Answer: See below.

For the height of a computer, it would be best to use inches. Most screens would be about 10 -15 inches.

For the length of a semi-truck, we could use feet or yards. Inches would be too small and miles would be way too long.

For the amount of liquid in a bathtub, we should use gallons.

Final answer:

Choose the best units of measurement for a variety of items based on benchmarks and size considerations.

Explanation:

When considering the size of a bathtub, the best unit for measuring capacity would be liters.

To choose the best unit of measurement for each item:

The volume of a water balloon: Milliliters

The length of a basketball court: Yards

The weight of an apple: Ounces or grams

The volume of a milk carton: Cubic centimeters

For the height of a light switch, the appropriate unit would be inches.

For the width of a refrigerator, the appropriate unit would be feet.

I’m not sure what Atrap and all that stuff means...sorryyy to answered my last question

Answers

The area of your figure is the sum of the areas of the base cuboid and the lateral area of the "tower."

The top and bottom areas of the base cuboid are (10 in)*(10 in) = 100 in^2, for a total of 2*100 in^2 = 200 in^2.

The lateral area of the base cuboid is its perimeter (4*10 in = 40 in) multiplied by its height (2 in), so is 80 in^2.

Likewise, the lateral area of the "tower" is the product of its perimeter (4*5 in = 20 in) and its height (8 in), so is 160 in^2.

The sum of all these is 200 in^2 +80 in^2 +160 in^2 = 440 in^2.

The 3rd selection is appropriate.
when it comes to surface area it goes Length x With x Height  5x5=25x8=200
then 10x10=100x2=200. Finely 200+200=400 in2 

a + bc when a = 16, b = 64, and c = 8.

Answers

A=16+ B=64[tex]*[/tex]C=8

B[tex]*[/tex]C=512

BC+A= 528

528 is your answer.
Hi there!

To solve this problem, we need to plug all of the variable values in.

16 + 64*8
= 16 + 512
= 528

Hope this helps!

a line has a y-intercept of -5 and a slope of 10. what is its equation in slope-form?
Write your answer using integers, proper fractions, and improper fractions in simplest form

y = x −

Answers

Answer:
y = 10x - 5

Explanation:
The equation of the line has the general formula:
y = mx + c
where:
m is the slope = 10
c is the y-intercept = -5

Substitute with the givens in the above formula to get the equation as follows:
y = mx + c
y = 10x + (-5)
y = 10x - 5

Hope this helps :)

Which of the following Has a value of 8(4)

A) 4,096
B)32
C)83
D)512

Answers

B)32

8(4) means to multiply 8 and 4.  8 x 4 = 32
The answer is B

8(4) = 8 x 4

8 x 4 = 32

If your starting salary is $50,000 and you receive a 4% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?

Answers

n = 16 
50000(1 + 1.04 + 1.04^2 + 1.04^3 + .... + 1.04^15) = 50000 * (1.04^16 - 1) / (1.04 - 1) = 1,091,226.56 
Final year's salary = 90047.17 
86,583.82 * 1.04 = 90047.17 
There are only 15 table when there should be 16.
a_N = 50000(1.04)^15 = 90047.17 
And if we add 90047.17 to the previous total of 1001179.38 we get 
$1,091,226.55


Answer:

The correct answer is $1091227

A can of juice has a radius of 7 inches and a height of 9 inches. What is the volume of the can?

Answers

The volume is 1,384.74 inches.

The formula for the volume of a cylinder is radius*radius*pi*height.
Height:9
Radius: 7;7*7=49
Pi=3.14
49*9*3.14=1,384.74

Hope I helped☺☺

Answer:

Step-by-step explanation:

A tube has a radius of a 9 inches and a height of 7 inches. What's its approximate volume

A Ford is traveling 20 mph slower than a Buick. The Buick is traveling at a rate of 65 mph. Let F = the the speed of the Ford. Which formula below would correctly calculate the speed of the Ford?

Answers

Answer: The formula to find the speed of the Ford could be F = B - 20.

Since the Ford is 20 mph slower than the Buick, all you have to do is subtract 20 from the speed of the Buick. We know the speed of the Buick, it is 65.

Therefore, the speed of the Buick is 65 - 20 or 45 mph.

Chris needs 3 1/2 cups of flour. His only clean measuring cup holds 1/3 cup. how many 1/3 cups of flour does Chris need?

Answers

He will need 10 1/2 (1/3) cups
Final answer:

To find the number of 1/3 cups of flour Chris needs, we need to divide the total amount of flour needed by the amount that can be measured with the 1/3 cup measuring cup. In this case, Chris needs 28 1/2 cups of flour.

Explanation:

To find the number of 1/3 cups of flour Chris needs, we need to divide the total amount of flour needed (3 1/2 cups) by the amount that can be measured with the 1/3 cup measuring cup.

To do this, we convert the whole number 3 to thirds by multiplying by 3, which gives us 9 thirds. Then we add the 1/2 cup, which is equivalent to 3/6 or 6/12. So, the total amount in thirds is 9 + 6/12 = 9 1/2 thirds.

Now, we divide the total number of thirds by the number of thirds in one 1/3 cup.

9 1/2 thirds ÷ 1/3 third/cup = (9 1/2) ÷ (1/3) = (19/2) ÷ (1/3) = 19/2 × 3/1 = 19/2 × 3/1 = 57/2 = 28 1/2 cups.

5(1x + 7)= 30 what is x

Answers

x= -1

Substitute x with 1.

5*6=30.

Hope this helped☺☺


5x+35 = 30
Subtract 35 from both sides

5x = -5
X= -1

HELP!!! SIN/COS

What is the value of x?

sin49 degrees = cos x

Answers


[tex] \sin(45 \: degrees) = \: \cos(x) [/tex]
[tex] \frac{ \sin(45 \: degrees) }{cos} = \: x[/tex]
[tex] \frac{ sin}{cos } = tan[/tex]
[tex]therefore \: \: \: \tan(45 \: degrees) = x[/tex]
[tex]but \: \: \: \tan(45 \: degrees) = 1 [/tex]
[tex]therefore \: \: \: x = 1[/tex]
[tex]hope \: this \: helps[/tex]

Answer:

cos 41°

Step-by-step explanation:

this is the correct answer, not the one above.

if entered on the calculator (texas instruments TI-30X2S)

sin (49)= 0.75470958

2nd → cos → 2nd → (-)

which would look like this→ cos-1(0.75470958)

answer= cos 41

Can anyone please help me....?

Answers

its 4. Just use a calculator for those types of questions
Something tells me you wouldn’t be here if you could use a calculator XD. Complex fractions might seem, well...complex, but all they really are is just tedious. Let me show you how to solve this by hand. Hopefully I can translate the fraction into text!

(2 1/2)/(5/8)

Now, if you remember, when dividing with fractions, you may multiply with the reciprocal of the fraction that’s dividing. What that means is, if you flip the bottom fraction from (5/8) to (8/5), you make your life easier by multiplying.

(2 1/2) • (8/5)

To make things even easier, let’s turn 2 1/2 into an improper fraction. This turns it into (5/2). So...

(5/2) • (8/5)

If you remember, to multiply fractions, you multiply both numerators, then both denominators.

(5 • 8)/(2 •5)

40/10

Simplify

4

MATH HELP LEASE! WILL GIVE BRAINLIEST!
What is the measure of AC?

Enter your answer in the box.


Answers

In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.

2(4x-3.5) = 4x + 17
8x - 7 = 4x + 17
8x - 4x = 17 + 7
4x = 24
x = 24/4
x = 6

AC = 4x+17
      = 4*6 + 17
      = 24 +17
      = 41°

Answer:

The measure of AC is 41°

Step-by-step explanation:

Given : ∠ABC = (4x-3.5)°

            Arc AC = (4x+17)°

An inscribed angle: An angle with its vertex on the circle and whose sides are chords.

The intercepted arc : The arc that is inside the inscribed angle and whose endpoints are on the angle.

The Inscribed Angle Theorem : The measure of an inscribed angle is half the measure of its intercepted arc.

Uisng the theorem

[tex]\angle{ABC}=\frac{1}{2} \text{arc(AC)}[/tex]

[tex](4x-3.5)^{\circ}=\frac{1}{2} (4x+17)^{\circ}[/tex]

[tex]2*(4x-3.5)^{\circ}= (4x+17)^{\circ}[/tex]

[tex]8x-7= 4x+17[/tex]

[tex]4x=24[/tex]

[tex]x=\frac{24}{4}[/tex]

[tex]x=6[/tex]

So, Arc AC = (4x+17)° = (4*6+17)° = (24+17)° = 41°

Hence the measure of AC is 41°

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold?

Answers

does any previous problem tell you how many grandstand tickets were sold?

Let x and y represent the number of grandstand and bleacher tickets sold respectively.

We know that the total number of tickets sold is 5716. Therefore, we will get the equation:

x+y = 5716

Therefore, x=5716-y.............................(Equation 1)

Now, we also know that the total value of tickets sold is $3416.90 or 341690 Cents.

We also know that the price of one grandstand ticket is 65 Cents. Thus, the price of x grandstand tickets will be 65x cents.

Likewise, since the price of one bleacher ticket is 40 cents, the price of y bleacher tickets will be 40y cents.

The information presented above gives us:

65x+40y=341690..........................(Equation 2)

Substituting x from (Equation 1) to (Equation 2) we get:

[tex] 65(5716-y)+40y=341690 [/tex]

Let us solve the above equation for y.

[tex] 65\times 5716-65y+40y=341690 [/tex]

[tex] 371540-25y=341690 [/tex]

[tex] \therefore 25y=371540-341690=29850 [/tex]

[tex] y=1194 [/tex]

Therefore, the total number of bleacher tickets sold was 1194.


PLz help i need to pass

Answers

[tex]LINEAR \: \: EQUATION \: \: IN \: \: TWO \\ \: \: VARIABLES \\ \\ \\

Given \: system \: of \: equations \: - \\ \\ n \: = \: 2p \: + \: 3 \: \: \: - - - eq.(1) \\ \\ n \: = \: 5 \: + \: p \: \: \: - - - eq.(2) \\ \\ \: \\ Comparing \: eq.(1) \: \: and \: \: eq.(2) \: \\ We \: get \: \: -\\ \\ 2p \: + \: 3 \: = \: 5 \: + \: p \\ \\ 2p \: - \: p \: = \: 5 \: - \: 3 \\ \\ p \: = \: 2 \: \\ \\ Putting \: in \: eq.(1) \: \\ We \: get \: \: , \: \: n = 7 \\ \\ Hence \: \: \: .\\ \\ || \: \: p \: = \: 2\: \: \: \: || \: \: n = \: 7 \: \: \: || \\ \\ \\ Therefore \: , \: Solution \: of \: the \: given \: system \\ of \: equations \: is \: \: \: ( \: 2 \: , \: 7 \: ) \: \: \: \: \: \: \: \: \: Ans.[/tex]

Answer:

[tex][2, 7][/tex]

Step-by-step explanation:

5 + p = 2p + 3

- 2p - 2p

______________

5 - p = 3

-3 - 3

________

2 - p = 0

-2 - 2

________

-p = -2

2 = p [Plug this back into both equations above to get the n-term of 7]; 7 = p

I am joyous to assist you anytime.

John works at a car dealership that sells domestic and foreign cars. John makes 6% commission on domestic cars and 4% on foreign cars he sells. If John sold 4 domestic cars for $24,000 each, 2 domestic cars for $9,000 each, and 2 foreign cars for $13,500 each, what is his commission for the month?

Answers

You can represent the commission he will make one math expression that includes all the information.

(4 domestic cars x $24000 + 2 domestic cars x $9000) x 0.06 + (2 foreign cars x $13500) x 0.04 = $7920

He earned $7920 in commission.

How do you solve -32=-4b

Answers

Hello there!


-32/-4

32/4

8

b = 8


Hope I helped!

Let me know if you need anything else!

~ Zoe
both sides are negetive so they cancel each other out
[tex]32 = 4b[/tex]
divide by 4
[tex]8 = b[/tex]

A right triangle had one leg of length 84 units. The hypotenuse is 91 units long. What is the length of the other leg?
HELP ASAP FOR BRAINLIEST (:

A. 49 Units
B. ^(178 units
C. 7 Units
D. 35 Units

Answers

When i solved the problem i got 35. i did 91 to the second power equals 84 to the second power plus x to the second and the answer was 35.. hope this was right!!
This should be D. 35 because the equation is a squared plus b squared = c squared then you just substitute

A. How many phone plans have national long distance B. How many customized phone plans include 100 minutes per month talking time and paging capabilities?

Answers

I don’t think so I just got a text

Graph the system of equations. {2x−y=4x−y=−2 Use the Line tool to graph the lines.

Answers

Hear hear! For I have brought you the correct answer... (I took a "snip" of it so you can't see the entire graph but you can see the whole answer.)


By plotting the lines 2x - y = 4 and x - y = -2 using a graphing tool or on graph paper.

To graph these lines, you can start by rearranging them into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

For 2x - y = 4:

-y = -2x + 4

y = 2x - 4

This equation has a slope of 2 and a y-intercept of -4.

For x - y = -2:

-y = -x - 2

y = x + 2

This equation has a slope of 1 and a y-intercept of 2.

Now, you can graph these lines on a coordinate plane by plotting the y-intercepts and using the slopes to find additional points.

Once you have the two lines graphed, their point of intersection represents the solution to the system of equations.

For similar question on slope-intercept form.

https://brainly.com/question/31071238

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The formula for electrical power is p=iv Which is the equivalent equation solved for i?

Answers

we are given

[tex] p=v*i [/tex]

Since, we have to solve for i

so, we will isolate i on anyone side

we can divide both sides by v

[tex] \frac{p}{v}= \frac{vi}{v} [/tex]

[tex] \frac{p}{v}= i [/tex]

[tex] i=\frac{p}{v} [/tex]..............Answer


Answer:

p/v=I

Step-by-step explanation:

hope i helped. :} its also on edge

Sergei says that 10% of a number will always be less than 20% of any other number.

Answers

Hi there!

This isn't true, because if you were to take 10% of, let's say, 100 (which is 10), and if you were to take 20% of 20 (which is 5), 5 is still smaller than 10. 

Hope this helps!
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