Which of these is a correct identity?
x + 4x = 5x
6x = 18
2x + 1 = 7
7x + 9 = x

Answers

Answer 1

Answer:

x + 4x = 5x

Step-by-step explanation:

An identity is a mathematical equation that is always true (here - for all possible x's).

a). x + 4x = 5x; this is true, because for any possible x

x+4x = (1 + 4)x = 5x; there's not much to add.

b). 6x=18; evaluates to

x = 3; so it only works for one x, not all possible xs.

c). 2x + 1 = 7

2x = 6

x = 3; so it only forks for one x

d). 7x + 9 = x

6x + 9 = 0; we could compute the exact x it works for from here, but suffice to say this doesn't work for x = 0.

Answer 2

In between these given equations, x + 4x = 5x is the correct identity here.

What is an identity?

"An identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B produce the same value for all values of the variables within a certain range of validity."

Given equations are:

1. x + 4x = 5x

⇒ 5x = 5x

This equation is true for all values of 'x'.

Hence, this is a correct identity.

2. 6x = 18

⇒ x = 3

This equation is true when x = 3.

3. 2x + 1 = 7

⇒ 2x = 6

⇒ x = 3

This equation is true when x = 3.

4. 7x + 9 = x

⇒ 6x = - 9

⇒ x = - 9/6

⇒ x = - 3/2

This equation is true when x = - 3/2.

Learn more about an identity here: https://brainly.com/question/12984949

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Related Questions

Please help with this right triangle problem

Answers

Given:

The figure of a right angle triangle.

To find:

The measure of side AB.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given triangle,

[tex]\cos B=\dfrac{BC}{AB}[/tex]

[tex]\cos (20^\circ)=\dfrac{7}{AB}[/tex]

[tex]\cos (20^\circ)AB=7[/tex]

[tex]AB=\dfrac{7}{\cos (20^\circ)}[/tex]

On further simplification, we get

[tex]AB=\dfrac{7}{0.93969}[/tex]

[tex]AB=7.449265[/tex]

[tex]AB\approx 7.45[/tex]

Therefore, the measure of AB is 7.45 units.

PLEASE HELP ME ANSWER IF YOU HURRY ILL GIVE POINTSSSS

Answers

Answer:

3rd one and the 4th one

Step-by-step explanation:

Hopt it helps.....

I NEED EQUATIONS for 20 i need two more pls

Answers

Answer: like math equations that equal twenty?

Step-by-step explanation:

.5 times 40

4 times 5

2 times 10

3 times 6.2/3

Just to name a few

Answer:

4 times 5

the square root of 400

10 plus 10

2 to the 2nd power plus 4

30 minus 10

40 minus 20

50 minus 30

the absolent value of -20

5 to the 2nd power minus 5.

Step-by-step explanation:

Hope it Helps?

An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?

Explain how you would define a variable for this problem.

Answers

An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?

Explain how you would define a variable for this problem.

Macy's is going out of business and is having a HUGE sale. A dress that originally costs $40 is now 40% off! What is the final price of the dress?

Answers

Answer:

40% of 40 is 16. 40 - 16 = 24. So the dress is $24.

Jerome deposits $3500 in a certificate of deposits that pays 1.8% interest compounded annually. How much Interest does jerome earn in 1 year?​

Answers

3,500(1.8%) = 63


Jerome will earn 63 more dollars in the next year.

$3,563

Mr. Strand mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer: Mr. Strand mowed most of the lawn, and 7/20 of the lawn still needs to be mowed.

Step-by-step explanation:

Part 1:

We can use change the fractions so that they have equivalent denominators. The Least Common Denominator that the two fractions have is 20.

2/5 = 8/20.

1/4 = 5/20.

Because of this, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn.

Part 2:

8/20 + 5/20 = 13/20. Therefore, 7/20 of the lawn still needs to be mowed.

In conclusion, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn. 7/20 of the lawn still needs to be mowed.

Answer:

Step-by-step explanation:

0.65 of the lawn was mowed

What is it’s area !?plz answer fast

Answers

the correct answer is b

I need help plz help!

Answers

Answer:

bad quality man im sorry

Step-by-step explanation:

John bought four of the same items and
used a coupon worth $5 off the total
purchase. If he paid a total more than
$16.40, to the nearest cent, what is the
most each item could have cost?
A. $5.37
B. $5.36
C. $5.35
D. $5.34

Answers

The answer is C. 5.35

similarities transformations​

Answers

Answer:

B 1/3 then reflection across y axis then move figure 2 units to down and 1 right.

Step-by-step explanation:

The figure ABC is bigger than FED so the scale factor is less than one since we are going to ABC to FED. Let look at corresponding sides, AB and FE. AB distance is 3. FE distance is 1 so let divide

[tex] \frac{fe}{ab} [/tex]

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

The scale factor is 1/3.

The new points are at A'(-2,0) B'(-2,1) C'(-1,0).

Then we apply reflection.

Since FED is in the 4th quadrant, we are going to reflect across the y axis.

That becomes using formula

(x,y) goes to (-x,y) when reflecting across yaxis.

A''(2,0) B''(2,1) C''(1,0)

Now we will apply the translation. We can simply just move the figure 2 units down and 1 unit to the right.

Answer:

b

Step-by-step explanation:

i need help :/

('_')​

Answers

Answer:

Z=20 Degrees

Step-by-step explanation:

We know that all of the angles of a triangle add up to 180, so:

65+55+ Angle A = 180

Simplify:

120+ Angle A = 180

Subtract 120 from both sides:

Angle A = 60

If you look at the bottom you can see that the 15 turns into 5, meaning it is being divided by 3, so:

60/3=20

Z=20 Degrees

Answer:

Angle E is 60 degrees

Step-by-step explanation:

So z is an angle.

That would be point E.

This triangle was dilatated so we can match it up with the larger one. In a dilation, angle measures do not change. So matching up the points E would be equal to A, which of course it the only one with an angle measure not given.  

All you have to do is add up the two angle measures and subtract that by 180 (total of all angles combined).

So 65+55=120

180-120=60

Angle A is 60

Which makes angle E 60 as well

Hope that helps!

what is the definition of the word PER?​

Answers

Answer:

for each, by means of.

Step-by-step explanation:

For each

Or

By means of

I NEED HELL PLZ I don’t get it i need to turn it soon.

Answers

60% of the class is blonde

1why2

2does3

3your4

4teacher5

5use6

6googl6e7

7forms?8

PLEASE PLEASE HELP ME ASAP

Answers

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

sin=O/Hcos=A/Htan=O/A

----------------------------------------------------------

First Step: find BD

- AB relative to 54° is [hypotenues]

- BD relative to 54° is [opposite]

- Therefore, we need to use O/H, which is Sin

- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

- DC relative to 28° is [adjacent]

- BD relative to 28° is [opposite]

- Therefore, we need to use O/A, which is tan

- tan(28°)=16.2/A=16.2/tan(28°)=30.5

Hope this helps!! :)

Please let me know if you have any questions

what is a colon
help!!!​

Answers

Answer:

:

Step-by-step explanation:

If I am understanding you correctly, a colon is this

:

The colon is the symbol ":". It is used in a number of different ways in mathematics. 1. To denote ratio or odds, as in 2:1 (voiced "two to one").

Hope this helps :)

Construct the bisector of the following figures

Answers

Answer:

In these lessons, we will learn

how to construct an angle bisector of a given angle.

how to use an angle bisector to construct some angles for example, 90 degrees, 45 degrees, 60 degrees, 30 degrees, 120 degrees, 135 degrees, 15 degrees.

An angle bisector is a straight line that divides the angle into two equal parts.

Example: Construct an angle bisector for the following angle:

Solution:

Step 1 : Put the sharp end of your compasses at point B and make one arc on the line BC (point S) and another arc on line AB (point T).

Step 2 : Put the sharp end of the compasses at S and make an arc within the lines AB and BC. Do the same at T and make sure that the second arc intersects the first arc.

construct angle bisector

Step 3 : Draw a line from point B to the points of intersection of the 2 arcs. This line bisects ∠ABC.

construct angle bisector

The steps to construct an angle bisector can be summarized as follows:

1. From the vertex, draw an arc across both rays of the angle.

2. From each arc intersection draw another pair of arcs that intersect each other.

3. Draw a line from the vertex to the intersection point to form the angle bisector.

Step-by-step explanation:

PLEASE HELP!!!!!! 20+ POINTS
I have not been paying attention in class at all for the past 3 weeks, and we have a test tomorrow. Please explain all this stuff and more related to it. if it is not good enough then I will delete it and you will not get the points.

Answers

Answer:

B. (x , y) -> (-y , x)

Step-by-step explanation:

counter clockwise rotation 90° : (x,y) -> (-y,x)

ASAP I DONT KNOW HOW TO DO THIS.

WILL GIVE A LOT OF POINTS


(COMMON CORE)

ASAP

Answers

Answer:

What's the question? You only gave us the equations, we have no idea what its asking

Step-by-step explanation:

Answer:

The paper is right.

Step-by-step explanation:

The fraction is [tex]\frac{4}{5}[/tex] multiplied by [tex]\frac{3}{3}[/tex] and the answer is [tex]\frac{12}{15}[/tex]. How did it do that? Well, the numerator (top number),4, was multiplied by the other numerator ,3, which is 12. The same thing with the denominator (bottom number), the denominator,5, was multiplied by the other denominator ,3, which is 15. But as seen in the paper, the fraction

please somebody help with my math please pick one section to do ​

Answers

Answer:

Number 1.

Step-by-step explanation:

Largest 4: 4m

2nd Largest: 4m

Find A, 120°,140°,95°,80°

Answers

Answer:

a looks congruent to 95° so it's maybe around 95°

Step-by-step explanation:

i'm not sure sorry, but i think it's close to 95°

A = 105 degrees

pentagons add up to 540, and all angles added up is 435. 540 - 435 is 105.

If I run 50 yards, how much less did I run (in inches) than 50 meters?

Answers

Answer: 168.5 inches

50 yards = 1800 inches

50 meters = 1968.5 inches.

So, if you run 50 yards, you run 1968.5 - 1800, 168.5 inches less than 50 meters.

Let me know if this helps!

10 points !

Use synthetic division to find all the factors of this polynomial

4x^3+5x^2-18x+9

Answers

Answer:

(x-1)(4x-3)(x+3)

Step-by-step explanation:

The factor of the polynomial 4x³ + 5x² – 18x + 9 will be (4x – 3), (x + 3), and (x – 1).

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ 4x³ + 5x² – 18x + 9

Then the factor of the polynomial will be

⇒ 4x³ – 3x² + 8x² – 6x – 12x + 9

⇒ x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)

⇒ (4x – 3)(x² + 2x– 3)

⇒ (4x – 3)(x² + 3x – x – 3)

⇒ (4x – 3)(x + 3)(x – 1)

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ5

Sarah is decorating her house for Christmas with lights. She wants to surround a circular window with special LED lights that makes a pattern. The window has a diameter of 18 inches. How long must the the string of lights be in order to surround the entire window?

Answers

Answer:

56.57 inches

Step-by-step explanation:

If Sarah wants to surround her circular window, she wants to cover the circumference of the window

The formula for calculating circumference of a circle = Dπ = 18 x 22/7 = 56.57 inches

Help me find the slope of the line

Answers

Answer:

i think is 2 but i am not sure

Answer:

1/2

Step-by-step explanation:

This is tough because you don’t know the numbers on the side graph, but i’m assuming it’s 1 each.

Find where the line is on a point. Since slope is Rise over run. Go up 1 and sideways 2.

What is the slope of the line that passes through these two points (-2,4) (3,4)?

Answers

Answer:

0

Step-by-step explanation:

m=y-y1/x-x1

m=4-4/-2-3=0/-5

m=0

of Composite Shapes P5
driguez
Figure 10: Find the area of this composite shape.
Find the area of this composite shape.
15 yd
4 yd
Subi
10 yd
6yd

Answers

It is 114, because you subtract 6 from 15. So, the bigger thing is 90, add the smaller one onto it, 6 times 4 equals 24, 90+24=114.

HELP ME PLZZZZZZZZZZZZZZZZZ

Answers

The correct answer is 4

Answer:

4

Step-by-step explanation:

Have a nice day!

1/3 of 18 using a tape diagram.

Answers

Answer:

  6         6         6

____  ____  ____

PLEASE HELP I HAVE 10 MINUTES AND IM STUCK ON THIS!

Answers

The last one; y = 3x


Hope this helps!!!!

Answer:

y = 3x

Step-by-step explanation:

y = 3 and x = 3 doesn't touch 0, 0

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