Mathematics, 10.01.2021 14:00 jayceerocks5614

HELP ASAP write an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4

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We conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

$\:y=\frac{1}{2}x+\frac{13}{2}$

Step-by-step explanation:

Given the line

y+2x=4

converting into the slope-intercept form y = mx+b where m is the slope

y = -2x+4

comparing with the slope-intercept form

Thus, the slope is: m = -2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2

The slope of the new line perpendicular to the given line = – 1/m

= -1/-2 = 1/2

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (-3, 5)

$y-y_1=m\left(x-x_1\right)$

$y-5=\frac{1}{2}\left(x-\left(-3\right)\right)$

$y-5=\frac{1}{2}\left(x+3\right)$

Add 5 to both sides

$y-5+5=\frac{1}{2}\left(x+3\right)+5$

$\:y=\frac{1}{2}x+\frac{13}{2}$

Therefore, we conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:

$\:y=\frac{1}{2}x+\frac{13}{2}$

Answer from: Quest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

Answer from: Quest

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )

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HELP ASAP write an equation in slope-intercept form for the line that passes through (-3,5) and is...

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