What is the difference of the rational expressions below? 3x/x+1 minus 5/x

Answer:

Step-by-step explanation:

Assumed Knowledge

Motivation

Content

Radii and chords

Angles in a semicircle

Angles at the centre and circumference

Cyclic quadrilaterals

The alternate segment theorem

Similarity and Circles

Links Forward

Converse of the circle theorems

Coordinate geometry

Calculus

History and Applications

The Euler line

The nine-point circle

Morley’s trisector theorem

Appendix − Converses to the Circle Theorems

Answers to Exercises

return to top

ASSUMED KNOWLEDGE

Introductory plane geometry involving points and lines, parallel lines and transversals, angle sums of triangles and quadrilaterals, and general angle-chasing.

Experience with a logical argument in geometry written as a sequence of steps, each justified by a reason.

Ruler-and-compasses constructions.

The four standard congruence tests and their application to proving properties of and tests for special triangles and quadrilaterals.

The four standard similarity tests and their application.

Trigonometry with triangles.

return to top

MOTIVATION

Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Lines and circles are the most elementary figures of geometry − a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point − and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.

The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module. The logic becomes more involved − division into cases is often required, and results from different parts of previous geometry modules are often brought together within the one proof. Students traditionally learn a greater respect and appreciation of the methods of mathematics from their study of this imaginative geometric material.

The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies. Spheres and cylinders are the first approximation of the shape of planets and stars, of the trunks of trees, of an exploding fireball, and of a drop of water, and of manufactured objects such as wires, pipes, ball-bearings, balloons, pies and wheels.

a) The series of transformations to map Circle A onto Circle B is likely a translation. b) The series of transformations to map Circle C onto Circle A is a translation, rotation, and scaling.

a. To map Circle A onto Circle B, we must determine the transformation sequence. We can scale, rotate, and translate.

Translation: An object is translated horizontally or vertically without affecting shape or orientation. To match Circle B, Circle A appears to need to be shifted right and up.

Rotation: An object rotates around a fixed point. Rotation may not be needed since Circle A and Circle B appear to be aligned.

Scaling: An object is resized by scaling. Since Circle A and Circle B are the same size, scaling doesn't seem necessary.

Thus, Circle A-to-Circle B transformations are likely translations.

b. Again, we must determine the transformation sequence to transfer Circle C onto Circle A. Translation: Based on their relative positions, Circle C needs to be shifted left and down to match Circle A.

Rotation: To align Circles A and C, they must be rotated.

Scaling: Circle A is larger than Circle C, hence Circle C should be scaled down.

Thus, translating, rotating, and scaling map Circle C onto Circle A.

To know more about transformations

https://brainly.com/question/29788009

#SPJ2

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48

Answer:

there is no solution for x

Step-by-step explanation:

BTW you can use math.way

Answer:

can you type out the entire equation? i'll do my best to solve it. don't screen shot the question tho because for some reason my laptop won't let me see them.

Step-by-step explanation:

Answer: 0.25 + 0.5x = 2.5

Step-by-step explanation:

0.25 = the how long his hair is right now

0.5 = how much it grows each month

X= how many months it takes to reach 2.5 inches of hair

2.5= how long he'd like his hair to be

Answer:

Cost of game after discount = 72 - 20% of 72 = $57.6

Cost after tax = 57.6 + 7.5% of 57.6 = $61.92

So, the required cost is $61.92.

Answer:

25%

Step-by-step explanation:

Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%.  You have 25% ($30) as the discount because 90 is 75% of $120.

Answer:

4

Step-by-step explanation:

Answer:

Answer of this qn is. 4 hope it help s

Because the answer to X is a negative number, and negative numbers are needed for negative answers

Answer: because it won’t make sense if it was 74y it has to have an equation or expression.

Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.

Answer:

4.835(I don't know unit.(m/in/cm)

Step-by-step explanation:

volume=πr^2h

136.78=22÷7×3^2×h

h=136.78×7÷(22×9)=4.835

Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Answer:

10 three point and 14 5 point

Step-by-step explanation:

Ive answered this same question a lot

Answer:

144%

Step-by-step explanation:

Answer:

144%??

Step-by-step explanation:

thats the answer man

Answer: = (-2,3)

Step-by-step explanation:

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin:

[tex](x,y)\to (-y,x)[/tex]

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

gradient is 2

Step-by-step explanation:

hhhhhhhhfhdd

Answer:

-3

Step-by-step explanation:

If we substitute the blank in for x, it will make the problem easier.

Divide each side by 4 to isolate x

Solve, negative 12 divided by four is 3. So:

Answer:

hahahahahhahahhahahahahhahahahahahhahahahahhahahahahahhahahahahhahaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha hahahahahahahahhaha I DONT KNOW WHAT do YOU MEAN

Answer:

1,000

2,000

3,000

4,000

Step-by-step explanation:

just took the test got it right

Answer: I got the sample answer correct

Step-by-step explanation:

the edmentum answer

Answer:

Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.

7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.

Answer: y= X+3

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope and b is the y- intercept

Answer:

b

Step-by-step explanation:

This is the graph to your question. The points include: (0, 6) (2, 10) (-2, 2) (-1,4)

Answer:

x < 8

Step-by-step explanation:

x + 6 < 14

x < 14-6

x < 8

hope it help u

plz follow me

Answer:

x = -3

hope it's helpful ❤❤❤

THANK YOU.

Hey there!

The answer to your question is "n = -3"

First, we can start by writing the equation as it says. "3 times a number" represents a number times 3, or "3n"

3n

Next, "5 more" represents addition, so "+ 5"

3n + 5

Finally, "is -4" means it is equal to -4, so "= -4"

3n + 5 = -4

Now that we have our equation, we can solve:

3n + 5 = -4

First, we subtract "5" from both sides of the equal sign:

3n = -9

Lastly, we divide both sides by "3".

n = -3

Have a terrificly amazing day!

Answer:

ray walks 3/8th of a mile

Step-by-step explanation:

1/4 multiplyed by 2/3 and you will get 3/8

Answer:

(1,0)

Step-by-step explanation:

Answer:

Would be the answer D(1, −4)  

Step-by-step explanation:

Excuse me if i'm wrong, it seems like you have the same test or almost. And this was the answer on mine. I hope it works out for you!

Answer:

04) Subtract 4, subtract 4x, then divide by 2.

Answer:

option A.

Step-by-step explanation:

2x + 2 + 4 = 4x - 2 + 2

2x - 2x + 6 = 4x - 2x

3 = x OR x = 3

Answer:

egg

Step-by-step explanation:

eggs are BlUe

Answer:

select all of them bc there all correct

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

4x + 8y = 2(4y + 2x)

Answer:

B

Step-by-step explanation:

A. 4 (2x + y)

8x + 4y ( So not this! )

B. 2(4y + 2x)

8y + 4x ( This is right! )

C. 4(2x + 4y)

8x + 16y ( So not this! )

D. 8 (y + 2x)

8y + 16x ( So not this! )