Find two consecutive numbers with a product of 121

Answers

Answer 1

Answer: One number: x
Its consecutive: x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121

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What is the slope of the line?y= -5x - 9slope = ______ fill in the blank
What is √16?A) 2B) 4C) 8D) 256

Line l has a slope of...

Answers

Hey there! :)

Answer:

Option C.

Step-by-step explanation:

A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:

Slope of perpendicular line = -3/2.

Remember, the equation for solving for the slope is:

$m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)$

We must find points that when plugged into this equation, equal to -3/2.

Plugging in the points in option A:

$(2)/(3) \neq (-3)/(2)$

Option B:

$(3)/(4) \neq (-3)/(2)$

Option C: This is the correct answer.

$(-3)/(2) = (-3)/(2)$

Option D:

$(2)/(10)\neq (-3)/(2)$

Hi the answer is c. Hope this helped:)

Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2

Answers

Answer:

The correct prove will be:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$ $= (1)/(8)$

Step-by-step explanation:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$

Multiply and Divide by $2cos((\pi )/(14))$

= $(2sin((\pi )/(14))cos((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14)))/(2cos((\pi )/(14)))$

⇒ Let $(\pi )/(14)$ = Ф and 7Ф = $(\pi )/(2)$

= sin2Ф sin3Ф sin5Ф ÷ 2cosФ

= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ

= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ

= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ ∵cos7Ф = 0

= sin6Ф ÷ 8cosФ

= sin(7Ф - Ф) ÷ 8cosФ

= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ ∵sin7Ф = 1

= cosФ ÷ 8cosФ

= 1/8

Hence, The correct prove will be:

$sin((\pi )/(14))sin((3\pi )/(14))sin((5\pi )/(14))$ $= (1)/(8)$

Keywords: prove, sinФ, cosФ

Learn more about trigonometric functions from brainly.com/question/7331447

#learnwithBrainly

14. Ari is giving 14 books to 2 differentlibraries. Each library gets an evennumber of books and a minimum of 2books. How many ways can Ari givethe books? Show your answer asordered pairs and in a graph

Answers

2 and 12
12 and 2
4 and 10
10 and 4
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What is 1e -5e+10e= then +9e

Answers

1e-5e+10e=6e
6e+9e=15e

The answer to your expression is 15e

A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to the sample mathematical work? Given the equation 35x – 10 = 5, I must solve for x. I first divide both sides by 35, which results in the equation x-10=1/7 I then add 10 to both sides, which gives me my final answer of x=71/70 A. The student incorrectly divided both sides by 35. B. The student incorrectly added 10 to both sides. C. The final answer is not reduced or simplified. D. The mathematical work shown is correct.

Answers

Answer:

Step-by-step explanation:

A: The student incorrectly divided both sides by 35. The student should first add 10 to both sides, obtaining 35x = 15, and then divide 15 by 35, obtaining the final answer 3/7.

What is 6.051×105 written in standard form?

Answers

6.051 × $10^(5)$ = 605,100

So, your answer would have to be 605,100

Since the exponent of the scientific notation is a positive five ((5)), move the decimal point to the right

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