The slope of the line below is 2. Which of the following is the point-slope form of the line? the x is 1 and the y is -1

Mathematics

2 answers:

sukhopar [10]3 years ago

5 0

The point slope form would be y+1=m(x-1)

anzhelika [568]3 years ago

3 0

Answer:

$(y+1)=2(x-1)$

Step-by-step explanation:

We have been given that the slope of a line is 2 and point (1,-1) in on our given line. We are asked to write the equation for our given line in point-slope form.

Since we know that point-slope form of an equation is: $(y-y_1)=m(x-x_1)$ , where

m = Slope of line,

$(x_1,y_1)$ = Coordinates of the given point on line.

Upon substituting our given values in point-slope form of equation we will get,

$(y--1)=2(x-1)$

$(y+1)=2(x-1)$

Therefore, the equation $(y+1)=2(x-1)$ represents our given line in point-slope form.

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Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π?

yKpoI14uk [10]

Recall that to get the x-intercepts, we set the f(x) = y = 0, thus

$\bf \stackrel{f(x)}{0}=-4cos\left(x-\frac{\pi }{2} \right)\implies 0=cos\left(x-\frac{\pi }{2} \right)
\\\\\\
cos^{-1}(0)=cos^{-1}\left[ cos\left(x-\frac{\pi }{2} \right) \right]\implies cos^{-1}(0)=x-\cfrac{\pi }{2}
\\\\\\
x-\cfrac{\pi }{2}=
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}$

$\bf -------------------------------\\\\
x-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\\\\
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3 0

3 years ago

I need help on this please help!

Licemer1 [7]

Answer:

(b)0.56

Step-by-step explanation:

(a)

P(Ben Pass) =0.8

Therefore: P(Ben fails)=1-0.8 =0.2

P(Tom Pass) =0.7

Therefore: P(Tom fails)=1-0.7 =0.3