Which solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 EndFraction is extraneous? x = 1 and x = –4 neither x = 1 or x = –4 x = 1 x = –4

Answers

Answer 1

Answer:

x = - 4

Step-by-step explanation:

Given the expression

[tex]\frac{1}{x-1} = \frac{x-2}{2x^2-2}[/tex]

This can also be expressed as;

[tex]\frac{1}{x-1} = \frac{x-2}{2(x-1)(x+1)}\\1 = \frac{x-2}{2(x+1)}[/tex]

Cross multiply

[tex]2(x+1) = x - 2\\2x+2 = x-2[/tex]

Add 2 to both sides

[tex]2x+2+2 = x-2+2\\2x+4 = x\\2x-x = -4\\x = -4[/tex]

Hence the required extraneous solution is x = -4

Answer 2

Answer:

x=1

Step-by-step explanation:


Related Questions

cosec 10 - √3 sec10 = 4 prove without calculator

Answers

Step-by-step explanation:

working is above

hope it helps

Pleaseeee helpppppp please please pleaseeee someone

Answers

Answer:

10

Step-by-step explanation:

(5x - 16) = 34

x = 10

A number divided by four is at most 6. Which choice is correct??

A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6

Answers

C because that sign means lesser than or equal to 6

What is the area of the trapezoid?Round to the nearest hundredth.

Answers

Answer:

The answer is 33.32

I need help please
Which table represents a linear function?

Answers

The first one I believe.

Diego’s family car holds 18 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 28 days without the warning light turning on? Explain your answer.

please help!!

Answers

Answer:

Diego's family cannot drive the car for 28 days without the warning light turning on.

Step-by-step explanation:

Since the car uses 0.6 gallons per day, and Diego's family has been driving the car for 28 days, that means the total amount of fuel used is [tex]0.6*28=16.8[/tex] gallons. To determine whether the warning light will be on or not, subtract the total amount of fuel - 18 gallons - by the amount of fuel already used. If the difference is greater than 1.5, that means the warning light will not come on. If the difference is less than or equal to 1.5, that means the warning light will come on. [tex]18 - 16.8 = 1.2[/tex], since 1.2 gallons is less than 1.5 gallons, that means Diego's family cannot drive the car for 28 days without the warning light turning on.

Answer:

no because the remaining fuel will be 1.2 gallon therefore the warning light will turn on

Step-by-step explanation:

18 gallon

0.6 per day

28 × 0.6 = 16.8

18 - 16.8 = 1.2

Find the missing side or angle. Round to the nearest Tenth. B=45° a= 9 c= 19

Answers

Answer: b=14.1

Step-by-step explanation:

i just got it on acellus and it was correct

Factor the perfect square trinomial x2 − 12x + 36.

A. (x − 6)2
B. (x − 6)(x + 6)
C. (x + 6)2
D. (x − 12)2

Answers

A. (x-6)^2

x^2 - 12x + 36 is a perfect square trinomial, bevause half of -12 is -6 and -6 squared is 36.

The diameter of a circle is 13 ft. Find its area to the nearest tenth.

Answers

the answer is 132.665 but rounded it is 132.7

Answer: 132.7

Step-by-step explanation: divide 13 by 2 then multiply 6.5 by itself. Then multiply 42.25 by 3.14 or pi and you get 132.7

Kailey wants to buy a sandwich and as many oatmeal cookies as she can with $16. A sandwich costs $9 and an oatmeal cookie costs $2. The inequality 2+ +9< 16 represents Kailey's situation, where x is the number of oatmeal cookies. Which is the greatest number of oatmeal cookies Kailey can buy?

A-12 cookies

B- 7 cookies

C- 3 cookies

D- 4 cookies​

Answers

Answer:

Three cookies / or C

Step-by-step explanation:

You have 16 dollars, so you can nly buy one sandwich which leaves 7 dollars.

7/2 is three.5

your answer is 3

Answer:

3 cookies

Step-by-step explanation:

this is the ansa 4 Kailey wants to buy a sandwich and as many oatmeal cookies as she can with $16. A sandwich costs $9 and an oatmeal cookie costs $2. The inequality 2+ +9< 16 represents Kailey's situation, where x is the number of oatmeal cookies. Which is the greatest number of oatmeal cookies Kailey can buy

real life example of point in geometry

Answers

Answer:

A location of a place in the Map. The tip of a needle.

Step-by-step explanation:

Definition, Example In geometry, a point is defined as an exact position or location on a plane surface. It is denoted by dot (.) Take a sharp pencil and make a dot on a paper. In the above image,the point is indicated as A. Needle is the best example where you can see the point in the top edge.

Can someone help me pleaseeee!!!:(

Answers

Answer:

Step-by-step explanation:

math is a thing pls like this it was meaningful ;;;;;;;;;0

Answer:

Step-by-step explanation:

Nah

PLEASE PLEASE ANSWER QUICKLY

Answers

Answer:

D

Step-by-step explanation:

The dot is two blocks up on the x-axis, and 1 block to the right on the y-axis

Answer:

A) (1,2)

Step-by-step explanation:

When naming a point on a graph, always list the x-axis first.

the measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth interior angle?
please help it’s due soon and show the work!!

Answers

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

17) Evaluate D(4)
Please help

Answers

Answer:

D(4) = 6

Step-by-step explanation:

Using the blue graph, find the y value when x =4

the y value is 6 when x=4

D(4) = 6

Use the information given to write the equation of the circle

Center: (-9, -3), Point on Circle: (-11,2)

Answers

x²+ y²+ 20x + 8y - 84 = 0 is equation of the circle .

What is a circle, exactly?

A circle is a closed, two-dimensional object in which all points in the plane are equally spaced apart from the center.

                    The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric about the center for all angles.

the equation of the circle with center (-10,-4) and a point on the required circle is (4,-2).

Clearly, radius of the circle will be distance between the center and the point on the circle.

    r = √( -10 - 4 )²+ ( -4 + 2 )²

     r =  √196 + 4

     r =  10√2

We know that circle with center at (h.k) and radius r has the equation

       ( x - h )² + ( y - k )² = r²

We have circle with radius 10√2    and center at (-10,-4) and its equation will be

        ( x+ 10 )² + ( y + 4)²= ( 10√2)²

     x²+ y²+ 20x + 8y - 84 = 0

Learn more about circle

brainly.com/question/29142813

#SPJ1

Answer:

Radius

r=11

Diameter

d=22

Circumference

c=22π

Area

a=121π

Standard form equation

(x+9)^2+(y-3)^2=121 is the awnser you most likley are looking for

Expanded form equation

x^2+y^2+18x-6y-31=0

Sandy paid $27 for her new sweater. If the sweater was on sale for 25% off, what was the original price?​

Answers

Answer:

The answer is $36

Step-by-step explanation:

Took the Star Math Test

Answer:

$36

Step-by-step explanation:

100% - 25% = 75%

75% as a decimal = 0.75

75% = 27

75% as a decimal = 3/4

So 3/4 x = 27

27 x 4 = 108

108 / 4 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Suppose that $2000 is loaned at a rate of 19.5%, compounded semiannually. Assuming that no payments are made, find the amount owed after 4 years

Answers

Answer: $2390

Step-by-step explanation: hope this helps <3

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Answer:

see below

Step-by-step explanation:

Proposition:

Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE

Proof:

1)The lines AD and BC are parallel and AC their transversal therefore,

[tex] \displaystyle \angle DAC = \angle ACB \\ \ \qquad [\text{ alternate angles theorem}][/tex]

2)The lines AB and DC are parallel and BD their transversal therefore,

[tex] \displaystyle \angle BD C= \angle ABD \\ \ \qquad [\text{ alternate angles theorem}][/tex]

3)now in triangle ∆AEB and ∆CED

[tex] \displaystyle \angle EAD=\angle ECB[/tex][tex]\angle EDA=\angle EBC[/tex][tex] \displaystyle AD=BC[/tex]

therefore,

[tex] \displaystyle \Delta AEB \cong \Delta CED [/tex]

hence,

AE=CEDE=BE

Proven

The equation of a circle is x2 + (y – 10)2 = 16.

The radius of the circle is
units.

The center of the circle is at

Answers

Answer:

radius = 4 units and center of circle = (0,10)

Step-by-step explanation:

The radius of this circle from the given equation of circle is equal to 4

Data;

radius = ?equation = x^2 + (y-10)^2 = 16

Equation of a Circle

The equation of a circle is given as

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our given variables here and solve

[tex](x-h)^2 + (y - k)^2 = r^2\\(x-0)^2 + (y-10)^2 = 4^2[/tex]

All we need to do here try to write the equation in the standard form which is given above and then pick the value of radius (r) from there

The radius of this circle is equal to 4

Learn more on equation of circle here;

https://brainly.com/question/15214797

Estimate 11.14+9.543 by first rounding each number to the nearest tenth.

HELP PLSZZ

Answers

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.

❗️❗️❗️please answer fast‼️‼️‼️‼️

Answers

Answer:

72°

Step-by-step explanation:

The interior angles of a triangle sum to 180°. Since there are two angles at 54°, we can use the equation x = 180 - 54 - 54 or x = 180 - 2(54), which will give us 72°.

im really stuck on this............

Answers

Answer:

H is the Answer

Step-by-step explanation:

Apply distance formula.

[tex](x {}^{2 } - {x}^{1} ) {}^{2} + ( {y}^{2} - {y}^{1} ) {}^{2} = d {}^{2} [/tex]

where d is the distance.

[tex]( - 5 - 7) {}^{2} + (0 - 5) {}^{2} = [/tex]

[tex] - 12 {}^{2} + - 5 {}^{2} = {d}^{2} [/tex]

[tex] \sqrt{169} = {d}^{2} [/tex]

[tex]d = 13[/tex]

Answer:

H, 13

Step-by-step explanation:

Distance formula:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\sqrt{(7-(-5))^2+(-5-0)^2}\\\sqrt{144+25}\\\sqrt{169}\\13[/tex]

Can someone plz help me find the vertex and the stretch factor

Answers

Answer:

(1,-25)

Step-by-step explanation:

I believe the answer is (1,-25) because when the function is graphed the vertex is at the point x=1 y=-25

If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant?

pls help c:

Answers

B) 1/9

[tex]\\[/tex]

[tex]\large\mathfrak\red{\underline{Step\:by\:step \:explanation}}[/tex]

[tex]\dashrightarrow[/tex]There are 2 (L and Z) consonants out of 6 letters.

[tex]\\[/tex]

[tex]\red\bigstar[/tex]The probability of getting a consonant

[tex]\pink\implies[/tex] 2/6 = 1/3

[tex]\\[/tex]

[tex]:\red\implies[/tex]When we spin the spinner second time, we will get the same probability

= 2/6 = 1/3

[tex]\dashrightarrow[/tex]The probability that the spinner will stop on a consonant then again on a consonant

= 1/3 x 1/3

= 1/9

[tex]\red\bigstar\mathfrak \pink{Therefore, the \: answer \: is \: B) 1/9}[/tex]

[tex]\rule{300px}{.7ex}[/tex]

[tex]\large\tt\purple{\underline{ElegantLavender~}}[/tex]

Option B is correct - 1/9

A glide reflection is a composition of a line reflection and a translation that is parallel to the line of reflection. Unlike some composition of transformations, a glide reflection IS ____________________. Therefore, the line reflection and translation can be done in any ____________.

Answers

Answer:

" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."

Step-by-step explanation:

Transformations can be written as operators that act on functions or shapes.

For example, we can define the horizontal translation operator as:

T(k)

And if we apply this to a function, we get:

T(k)[ f(x) ] = f(x - k)

Now, the operators are not necessarily commutative.

This means that if we have two operators:

K and L

is not the same:

K[ L[ f(x) ]]

than:

L[ K[ f(x) ]]

An example of this can be a reflection across the y-axis and a horizontal translation, that composition is non-commutative.

Now, let's go to our case.

A glide reflection is commutative, so we can perform the transformations in any order, then the statement is:

" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."

I'll give 100 brainly points, i just need help...plz

Answers

Answer:

A. [tex](x^{2/7})(y^{-3/5})[/tex]

Step-by-step explanation:

The numerator is:

[tex]\sqrt[7]{x^2} = (x^2)^{1/7} = x^{2/7}\\[/tex]

The denominator is:

[tex]\sqrt[5]{y^3} = (y^3)^{1/5} = y^{3/5}[/tex]

The fraction is equivalent to:

[tex]\frac{x^{2/7}}{y^{3/5}} =[/tex] [tex](x^{2/7})(y^{-3/5})[/tex]

Correct choice is A

Used rule

n√x=x^{1/n)(a^m)^n=a^mn

So

⁷√x²/⁵√y³(x^{2/7})y⅗

I need to find the volume

Answers

Answer:

[tex]2400 {in}^{3} [/tex]

MAKE A QUESTION FOR THIS EQUATION
5n +1.39=8.89
don't have to solve

Answers

Answer:

What is the missing number when n = 1.5?

5n+___=8.89

8.89-1.39=n
What is n?

what is 1 over 2 multiplied by 1 over 5?

Answers

Answer:

i think its 1/10 or 1 over 10

Step-by-step explanation:

Answer:

1 over 10

Step-by-step explanation:

1×1 = 1 (multiply numerator)

2×5 = 19 ( multiply denominator)

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