Solve the inequality.​ Then, graph the solution 15x ≥ −60

Step-by-step explanation:

Given that:

{(x²+y²)/(x²-y²)} = 17/8

On applying cross multiplication then

since, (a/b) = (c/d) ⇛a(d) = b(c)

Where, x = x²+y², b = x²-y², c = 17 and d = 8

So,

⇛17(x²-y²) = 8(x²+y²)

Multiply the number outside of the brackets with variables in the brackets on both LHS and RHS.

⇛17x²-17y² = 8x²+8y²

⇛17x²-17y² - 8x²-8y² = 0

⇛17x²- 8x² - 17y² - 8y² = 0

⇛9x² - 25y² = 0

⇛9x² = 25y²

⇛9/25 = y²/x²

⇛25/9 = x²/y²

⇛x/y = √(25/9)

⇛x/y = √{(5*5)/(3*3)}

⇛x/y = 5/3

Therefore, x:y = 5:3

Let x = 5a and y = 3a

Now, (x³+y³):(x³-y³)

= {(x³+y³)/(x³-y³)} = [{(x+y)(x²-xy+y²)}/{(x-y)(x²+x-y+y²)}]

= [{(5a)³ + (3a)³}/{(5a)³ - (3a)³}]

= [{(5*5*5*a*a*a) + (3*3*3*a*a*a)}/{(5*5*5*a*a*a) - (3*3*3*a*a*a)}]

= {(125a³ + 27a³)/(125a³ - 27a²)}

= {(152a³)/(98a³)}

= 152/98

Write the obtained fraction in lowest form by cancelling method.

= {(152÷2)/(98÷2)}

= 76/49

Therefore, , (x³+y³):(x³-y³) = 76/49

Answer: Hence, the required value of (x³+y³):(x³-y³) is 76/49.

Please let me know if you have any other questions.

Answer:

  76:49  or  49:76

Step-by-step explanation:

The second relation gives an expression for y in terms of x:

  [tex]\dfrac{x^2+y^2}{x^2-y^2}=\dfrac{17}{8}\\\\8x^2+8y^2=17x^2-17y^2\qquad\text{cross multiply}\\\\25y^2=9x^2\qquad\text{add $(17y^2-8x^2)$}\\\\5y=\pm3x\qquad\text{take the square root}\\\\y=\pm\dfrac{3}{5}x\qquad\text{divide by 5}[/tex]

Substituting into the expression we want the value of, we can factor out x^3 to get ...

  [tex](x^3+y^3):(x^3-y^3)=(1\pm(3/5)^3):(1\mp(3/5)^3)=(125\pm27):(125\mp27)\\\\=152:98\text{ or }98:152=\boxed{76:49\text{ or }49:76}\m[/tex]

_____

Additional comment

There is nothing in the given requirement that means x and y must have the same sign. If the signs are different, then the value of the expression is less than 1, rather than greater than 1.

Answer:

True. A , B are parallel lines.

Step-by-step explanation:

3 and 6 are co interior angles. If co interior angles are congruent, then the line are parallel

Answer:

yes d is the correct answer

Step-by-step explanation:

above is the answer. typing is not getting allowed dunno why

Answer:

Step-by-step explanation:

44) I’ll try to explained detailed as possible.

So first of all we have: 180-120=60 => this is the value of angle(BCA)

=> we know that a triangle has 180 degree in total =>

Now we will have to add all angles,their sum will be equal to 180.

=> (2x+28)+(3x-13)+60=180

2x+28+3x-13=180-60

5x+15=120

5x=105

x=105/5

x=21

=> m(BAC) = 2x+28=29*2+28=58+28=86 degree.

Answer:

$9.10 dollars

Step-by-step explanation:

The original price of the shoes is $6.50, so we want to add 40% to that. There are two ways to do this.

Method 1:

Find 40% of 6.50, and add it to 6.50.

[tex]6.5*0.4= 2.6\\6.5+2.6=9.1[/tex]

Method 2:

Multiply 6.5 by 1.4 (including the original percent of 100 and adding 40 percent to it)

[tex]6.5*1.4=9.1[/tex]

Answer:

see below

Step-by-step explanation:

Therefore, the probability that Scott chose books A and B is 1/28.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of mathematics, science, economics, and everyday life to help make predictions, decisions, and inferences.

Here,

The total number of ways Scott can choose 2 books out of 8 books is given by the combination formula:

C(8,2) = 8! / (2! * 6!) = 28

This means there are 28 possible pairs of books he could choose.

The probability that he chose books A and B is 1 out of 28 because there is only 1 way to choose books A and B out of the 28 possible pairs:

P(A and B) = 1/28

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

Answer:

GCF = 6

Step-by-step explanation:

6 is the greatest common factor of these three terms.  

Answer:

69

Step-by-step explanation:

The common factor is 69 because they all add up to this sacred number

Answer:

[tex]b=20\sqrt{2}[/tex] units

Step-by-step explanation:

Recall the Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Solve for side "b" given ∠A, ∠B, and side "a"

[tex]\frac{sinA}{a}=\frac{sinB}{b}\\ \\\frac{sin(30^\circ)}{20}=\frac{sin(45^\circ)}{b}\\ \\ bsin(30^\circ)=20sin(45^\circ)\\\\b(0.5)=20(\frac{\sqrt{2}}{2})\\ \\0.5b=10\sqrt{2}\\\\b=20\sqrt{2}[/tex]

Therefore, [tex]b=20\sqrt{2}[/tex] units

Answer:28

Step-by-step explanation:

Answer:

A) $1440

B) $9440

Step-by-step explanation:

A) 4.5% x $8000 = $360 x 4 years = $1440

B) $1440 + $8000 = $9440

Answer:

i need the answer

Step-by-step explanation:

It will take the turkey about 3 hours to roast.

Answer:

A is an irregular pentagon - total angle is 540. So x is 100

(540 - 440=100)

B. 3a + 345 = 540

- 345 both sides

3a=195

÷3

a = 65

2a = 130 (65x2)

C. X = 120 (angles on straight lines adds to 180)

3y + 300 = 540

- 300

3y = 240

÷3

Y= 80

x 2

2Y = 160

Hope this helps!

Answer:X=2/3

Step-by-step explanation:

olutioniaisisisis

Answer:

2/5

Step-by-step explanation:

No of items =5(0,1,2,3,4)

No of favourable conditions =2(2,3)

Gk, probability =2/5

Answer:

40% chance of success

Step-by-step explanation:

The possible integers chosen are 0, 1, 2, 3, and 4.

Since the numbers are randomly chosen and the numbers 2 and 3 represent a success, and the numbers 0, 1, and 4 represent a failure, and there are 5 possible outcomes, there is a 2/5 chance of success. Therefore, you have an estimated 40% chance of a success.

Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.

The together rate is the sum of each separate rate.

In this problem, the rates are:

Hence:

[tex]\frac{1}{12} + \frac{1}{x} = \frac{1}{8}[/tex]

[tex]\frac{x + 12}{12x} = \frac{1}{8}[/tex]

[tex]12x = 8x + 96[/tex]

[tex]4x = 96[/tex]

[tex]x = \frac{96}{4}[/tex]

[tex]x = 24[/tex]

If Mrs Adams camps alone, she will use all the water in 24 hours.

More can be learned about the together rate at https://brainly.com/question/25159431

Answer:

Step-by-step explanation:

Given equation:

Multiply all terms by (x - 3)(x - 2):

Compare this to the given form to get:

Correct choice is A

On solving

x=4±√3

So

a=4 and b=3

List the following words in order from smallest to

largest

C. DNA, Gene, Chromosome, Nucleus

Answer:

A. Gene, DNA, Chromosome, Nucleus

Step-by-step explanation:

Hope this helps. Please give Brainest if it did. Good luck

Answer:

B. 10

Step-by-step explanation:

This pair of triangles follows a scale factor. A scale factor is the factor that can get you an exact copy of a triangle, but with bigger or smaller side lengths. In this case, the scale factor is 2 (doing 12/6 on the left side is 2), and dividing that by 20 to get 10. Because we want the smaller triangle, we divide, not multiply. (you could also multiply by 1/2)

Check the picture below.

Answer:

22

Step-by-step explanation:

22 x 3 = 66

1/3 would be 22

Answer:

it will take Tommy 30 minutes

Answer:

It'll take him 30 minutes.

Step-by-step explanation:

He estimates that it'll take 10 minutes for each room. His mom asked him to sweep 3 rooms. If you take 10 and multiply it by 3, you get 30.

Answer:

78 degrees

Step-by-step explanation:

this is a situation where you have a right triangle and know the hypotenuse and adjacent side lengths, so you can use cos⁻¹

cos⁻¹(8.5/42) = 78.3 degrees

Answer:

I believe it is C

HOPE IT HELPS, BE SAFE :3

Answer:

4) 3 for the numerator. 9 for the denominator

5) 6 for the first blank square and 48 for the second blank.

6) 2 for the denominator. 6 for the numerator. 30 for the second numerator.

Step-by-step explanation:

sorry but those are the only ones i know

Hope this helps!

Answer:

Sue eats 1/3 of the whole pizza

Step-by-step explanation:

Hey there!

233 ÷ 45 (67 × 89)

= 233 ÷ 45(5,963)

= 1,389,379 ÷ 45

= 30,875.08888888889

Therefore, your answer is:

30,875.08888888889

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

The answer is (30875.0888889)

there is a literal calculator that you can look up that will give you the answer.

Answer:Triangle B

Step-by-step explanation:

It is the only one not dilated or rotated, but it was simply moved, which is the definition of translation.