what is the solution to the equation?
[tex] \frac{2 }{x} - \frac{x}{x + 5} = \frac{10}{ {x}^{2} + 5x } [/tex]
a. 0
b. 2
c. 0 and 2
d. no solution​

Answers

Answer 1

Answer:

Hello,

answer B

2

Step-by-step explanation:

[tex]\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\[/tex]


Related Questions

Find the width of a rectangular strip of land with length 25 m and area 12 square meters?

Answers

Answer:

5/4

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

1/2 = 2/5 * w

Multiply each side by 5/2

5/2 * 1/2 = 2/5 *w * 5/2

5/4 = w

Formula we use,

→ A = l × w

Then the width of the rectangle,

→ A = I × w

→ 1/2 = 2/5 × w

Now multiply each side by 5/2,

→ 1/2 × 5/2 = 2/5 × w × 5/2

→ w = 5/4

Hence, the width is 5/4.

Please help!!

Take a factor out of the square root:

Answers

Answer:

2a times the sq root of 2a or 2a (2a)**1/2

Step-by-step explanation:

(8a**3)**1/2 =

((2**2 * 2) (a**2) (a))**1/2 then take out and squares

2a (2a)**1/2

or 2a times the sq root of 2a

Lyon walked 3/4 mile from school to the soccer field.

He then walked 1/6 mile home.


About how many miles did Lyon walk?

Answers

Answer:

11/12 miles Lyon walk.

Step-by-step explanation:

3/4 -> 9/12

1/6 -> 2/12

9 + 2 = 11

The solution is :about  11/12 miles Lyon walk.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Lyon walked 3/4 mile from school to the soccer field.

He then walked 1/6 mile home.

now, we have to find that,

About how many miles did Lyon walk

so, we need to add the both distance

i.e.  3/4 + 1/6

so, we have,

3/4 -> 9/12

1/6 -> 2/12

so, we get,

9 + 2 = 11

i.e. 3/4 + 1/6

= 9/12 + 2/12

=11/12

Hence, about  11/12 miles Lyon walk.

To earn more on addition click:

brainly.com/question/29560851

#SPJ2

Which expression is a sum of cubes

Answers

Answer: what is the rest of the question?

Step-by-step explanation:

the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52​

Answers

Answer:

a) 81-6

b) 10.4

Step-by-step explanation:

a) assuming that the VAT is 20% of the 68 pounds,

you calculate 120% of 68 (convert percentage to decimal)

= 1,20 * 68 = 81.6 pounds

or

calculate 20% of 68 pounds and add the answer to 68 pounds:

(0.2 * 68) + 68 = 81.6 pounds

b) 20% of 52

first convert the percentage to decimals:

0.2 * 52 = 10.4 pounds

what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place

Answers

Answer:

Volume of cylinder

= π r² h

3.14 × 5×5×5392.5= 392.9 ft³

OAmalOHopeO

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Step-by-step explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter 8m and height 12m needs to be painted. Find the minimum cost of painting the rod. (NO NEED FOR EXLENATION)​

Answers

the answer is in the picture

Find the volume

Help me please

Answers

Answer:

1372/3 π

that's the volume

The answer is going to be 1372/3

Question 6 of 25
In APQR, m P= 60°, m_ Q = 30°, and m2 R = 90°. Which of the following
statements about APQR are true?
Check all that apply.

Answers

Answer:

A, E, F

Step-by-step explanation:

From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:

PR = 1/2 PQ which is just 2 PR = PQ(E)

PR √3 = QR (A)

We can substitute in PR from the first equation to the second to get:

√3/2 PQ = QR(F)

What are the restrictions on the domain of the following function?
f(x)=x-3/(x-3)(x-4)(x-5)

Answers

Answer:

Step-by-step explanation:

C

Check out this cube: 3 Find the surface area of the cube (above) using its net (below​

Answers

Answer:

54

Step-by-step explanation:

Surface area of a cube = 6a²

Where,

a = edge = 3

Surface area of a cube = 6a²

= 6 * (3)²

= 6 * (3 * 3)

= 6 * 9

= 54

Therefore,

The Surface area of the cube = 54

need help solving the equation, trying to figure whether I multiply or divide.​

Answers

Answer:

m∠B = 43°

b = 26.1

c = 38.3

Step-by-step explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{28}{c}[/tex]

c = [tex]\frac{28}{\text{sin}(47^{\circ})}[/tex]

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{b}{c}[/tex]

             = [tex]\frac{b}{38.3}[/tex]

b = 38.3[cos(47°)]

b = 26.1

Ferrero Rocher chocolates are manufactured in the shape of spherical balls, which are
wrapped in foil. The Ferrero Rocher Company introduced the Ferrero collection, which
is a package of 15 chocolates, one layer deep in a 3 chocolate x 5 chocolate orientation.
A single chocolate has a diameter of 3.2 cm.

Answers

Answer:

N/A

Step-by-step explanation:

What's the question to the question?

A pie chart is to be drawn for Cathy’s spending.
Cathy spent a total of $800 last month.
She spent $120on entertainment last month.

Calculate the size of the angle for entertainment in the pie chart.

Answers

Answer:

54°

Step-by-step explanation:

$800 is 360° of a pie chart

$120 is ?° of the pie chart

?° = (360*120)/800 = 54°

*if you need the answer to be in radiants

(54*π) /180 = 0.942478 rad

Step-by-step explanation


Two numbers have a difference of 28. If the sum of the squares of the numbers is
392, what are the two numbers?

Answers

Answer:

The two numbers are 182 and 210. I hope this will help you.

Which value is equivalent to x +4/4+x?
–4
–1
1
4

Answers

the answer is d. 4 i hope this helps:)

Hi! Please help me im really confused >.< tysm
g² - 4g = -3

Answers

Answer:

g = 1, 3

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Terms/CoefficientsFactoringSolving quadratics

Step-by-step explanation:

Step 1: Define

Identify

g² - 4g = -3

Step 2: Solve for g

[Addition Property of Equality] Add 3 on both sides:                                     g² - 4g + 3 = 0Factor:                                                                                                                (g - 1)(g - 3) = 0Solve:                                                                                                                 g = 1, 3

Can anyone explain this to me?

Answers

Answer:

$7, 657

Step-by-step explanation:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190190190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 333 years after she moved into the house, the tree was 274274274 centimeters tall.

Answers

Answer:

I know the answer...

Step-by-step explanation:

but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks

Would this be 20? I'm confused on what the problem is asking here.

Answers

Answer:

This would not be 20

Step-by-step explanation:

This question can be thought as a Pythagoras question.

By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)

I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?

Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]

We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown

Identify the segments that are parallel, if any, if ∠DCB and ∠CDA are supplementary.

Answers

Answer:

C

Step-by-step explanation:

We are given that

[tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

We have to identify the parallel segments if [tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.

Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.

Therefore,

[tex]\angle DCB+\angle CDA=180^{\circ}[/tex]

Therefore, angle DCB and angle CDA are interior angles .

Because CA is a transversal line and sum of interior angles is 180 degrees.

When the sum of interior angles formed between two lines  and on same side of transversal line is 180  degrees. Then the lines are parallel.

Therefore, angle DCB and angle CDA are formed between line AD and BC.

Hence, AD is parallel to BC.

Option C is correct.

Answer:

c

Step-by-step explanation:

i had the same question

Need help on this!!!

Answers

Answer:

7.8391

Step-by-step explanation:

Answer:

Step-by-step explanation:

The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:

[tex]e^{ln(x+3)}=e^5[/tex]

That leaves us on the left with simply

x + 3

On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:

[tex]x=e^5-3[/tex] and

[tex]e^5=148.4131591[/tex], so

x = 148.4131591 - 3 and

x = 145.4132, the first choice listed.

wat iz dis bul crup
i was literally THE hardest math problem EVER

Answers

Answer: 289,952,278

Step-by-step explanation: Big brain

The product of two algebraic expression is 4x²-9.If one of the expression is (2x+3),find the other expression​

Answers

Answer:

Solution given:

we have formula

a²+b²=(a+b)(a-b)

now

4x²-9

(2x)²-3²

using formula

(2x+3)(2x-3)

other expression is 2x-3.

Answer:

( 2x - 3 )

Step-by-step explanation:

4x² - 9 is a perfect square meaning it can be factored into 2 expressions,

( 2x + 3 ) ( 2x - 3 )

ANSWER ASAP ILL MARK BRAINLIEST!!!!
find all the real zeros of the quadratic function.
f(x)=2x²-6x-1​

Answers

Answer:

[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]

I hope that is useful for you :)


The radius of the circle below intersects the unit circle at (3/5 • 4/5)What is the approximate value of e?

Answers

Answer:

do you have a pic of it but i think its 15.75

Step-by-step explanation:

How do I do this question

Answers

Answer:

Graph:

Solution: (1, 1)

Check:

y = -3x +4

1 = -3 +4

1 = 1

y = 3x -2

1 = 3 -2

1 = 1

1 point (1) Three times a number minus two times a number* Your answer

Answers

Answer:

Three times a number minus two times a number

3x-2x

=x

(URGENT PLEASE HELP)

The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?

a) 4
b) -6
c) 6
d) -4

Answers

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

What is the factored form of

Answers

Answer:

C

Step-by-step explanation:

You can distribute the values or even plug in x=2 and see which one matches.

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