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2 years ago

8

Write an equation of the line with a slope of −3 and y-intercept of 0

2 answers:

Aleksandr-060686 [28]2 years ago

7 0

Answer:

y = -3x

Step-by-step explanation:

formula of slope is y=mx+b

you substitute the equation and you'll get

y = -3x

kipiarov [429]2 years ago

7 0

Answer:

y = -3x + 0

OR<em> (choose one of them)</em>

y = -3x

Step-by-step explanation:

slope intercept form: y = mx + b

slope M = -3

y-intercept B = 0

y = -3x + 0

or

y = -3x

(When you don't put nothing after the slope the eqaution understands that the y-intercept is at the middle which is zero, so if there is nothing after the slope there is an invisible 0. So there is an invisible ( + 0) you can choose to add the + 0 or not, either way it's correct the only place where it's mandatory is if the y-intercept is NOT 0, then you write it out because the person can't guess what the y-intercept is lol.)

<em />

<u><em>Ace</em></u>

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Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?

lakkis [162]

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2 years ago

If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?

enyata [817]

Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

<u>Let us assume that:</u>

$\rm: \longmapsto u = {x}^{2013}$

<u>Therefore, the equation becomes:</u>

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

$\rm: \longmapsto \dfrac{ {u}^{2} + 1}{u} = 2$

$\rm: \longmapsto{u}^{2} + 1 = 2u$

$\rm: \longmapsto{u}^{2} - 2u + 1 =0$

$\rm: \longmapsto {(u - 1)}^{2} =0$

$\rm: \longmapsto u = 1$

<u>Now substitute the value of u. We get:</u>

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

<u>Therefore:</u>

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 1 + 1$

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ <u>Which is our required answer.</u>

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0

2 years ago