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2 years ago

Evaluate ƒ(x) = –4x – 5 for x = –1.

Mathematics

1 answer:

11111nata11111 [884]2 years ago

4 0

The answer would -1

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2 years ago

) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

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2 years ago

At the beginning of the week, a particular stock sold for 293/8 per share. At the end of the same week it sold for 312/8. What w

Alex_Xolod [135]

Hello there!

You seem to have mistakenly typed your answer options wrong.

<span>( 31 + 2/8 ) - ( 29 + 3/8 )
2 + ( 2/8 - 3/8 )
2 -1/8

The correct answer is A. 1 7/8

Hope This Helps You!
Good Luck :)</span>

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2 years ago

Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).

SVEN [57.7K]

Step-by-step explanation:

y-y₁=m(x-x₁)

1-(-4)=m(4-3)

5=m

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2 years ago

“x is at most –5 or at least 7.”

uysha [10]

<span>x is at most –5 or at least 7 is written as $x \leq -5 \ or \ x \geq 7$ </span>

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2 years ago