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3 years ago

(-5)^2-2x(-9)+6 Please show work and step by step.

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

==============================================

(-5)² - 2 × (-9) + 6 first Exponents

25 - 2 × (-9) + 6 next Multiplication

25 + 18 + 6 next Addition

43 + 6 = 49

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What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?

KonstantinChe [14]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The required equation is ~

$\boxed{ \sf{y = \frac{x}{2} + 2 }}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's find the slope of given line ~

$y = - 2x + 5$

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

$- 2 \times n = - 1$

$n = \dfrac{ - 1}{ - 2}$

$n = \dfrac{1}{2}$

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

$y - y_1 = m(x - x_ 1)$

here, m = slope ~

$y - 2 = \dfrac{1}{2} (x - 0)$

$y - 2 = \dfrac{x}{2}$

$y = \dfrac{x}{2} + 2$

I hope it helps ~

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2 years ago

Kim and jay leave at the same time to travel 25 miles to the beach. Kim drives 9 miles in 12 minutes. Jay drives 10 miles in 15

Katen [24]

23. Kim and Jay leave at the same time to travel 25 miles going to the beach. Kim drives 9 miles in 12 minutes Jay drives 10 miles in 15 minutes. Question: who will arrive first? Unit rate of Kim => 9 miles in 12 minutes => 0.75 miles / minutes => 25 / 0.75 It will take 33.33 minutes for Kim to arrive Unit rate of Jay 10 miles in 15 minutes. => 10 miles /15 minutes => 0.67 miles /minute => 25 / 0.67 It will take Jay 37.31 minutes to arrive at the beach. SO Kim will arrive first

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horrorfan [7]

Answer:

x^2+4x-4

Step-by-step explanation:

4x+1+x^2-5

x^2+4x-4

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4 years ago

Read 2 more answers