a line contains the points (3, -4) an (0, 2) what is the equation of this line in slope intercept form

Mathematics

1 answer:

Ksju [112]3 years ago

8 0

The slope intercept form for those two points is y=-1/4x+2

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Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for

USPshnik [31]

$x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}$

$\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}$

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3 years ago

Charlie and Rashan collect miniature cars. They have the same number of cars in their collections. Charlie sold 5/8 of his colle

gtnhenbr [62]

Answer:

5/8 is more than 1/2 4/10 is less than 1/2 so 5/8 is more than 4/10

So that means that Charlie sold more of his collection than Rashan

Step-by-step explanation:

Hope this helped out.

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2 years ago

If sin 15° =x and sin 75° =y then which one of the following correct

vaieri [72.5K]

Answer:

tan 75 =x/you is the my answer

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Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?

DaniilM [7]

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3) = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4 ; y + 3 = -8

x = 4 +2 ; y = -8 - 3

x = 6 ; y = -11

B(6 , -11)

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The quotient of x and 3

ddd [48]

The quotient of x and three is 3/x. quotient is a division term and when the dividend is divided by the divisor, the result is a quotient.

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