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4 years ago

Solve the equation for y -2x+y=11

Mathematics

2 answers:

dem82 [27]4 years ago

7 0

It's 11+2x, I think.

boyakko [2]4 years ago

3 0

Hi Dezariaspencer

All we have to do is simply add 2x to both sides and we have our answer.

Answer: y = 11 + 2x.

Thank you for asking your question, have a good day.

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Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.

Olin [163]

Answer:

$3x+y=0$

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

H (-4,2), and I (2,4)

substitute the given points

$m=\frac{4-2}{2+4}$

$m=\frac{2}{6}$

simplify

$m=\frac{1}{3}$

step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=\frac{1}{3}$

$m_2=-3$

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

H (-4,2), and I (2,4)

substitute

$M(\frac{-4+2}{2},\frac{2+4}{2})$

$M(-1,3)$

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

$y-y1=m(x-x1)$

we have

$m=-3$

$M(-1,3)$

substitute

$y-3=-3(x+1)$

step 5

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$y-3=-3x-3$

$y=-3x-3+3$

$y=-3x$

step 6

Convert to standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

$y=-3x$

Adds 3x both sides

$3x+y=0$

see the attached figure to better understand the problem

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4 years ago

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ZanzabumX [31]

Answer:

Step-by-step explanation:

12) x is greater than -15

14/15) you would add four to both sides

16) Closed dot on 7 and everything less than that is X

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8 0

3 years ago

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The solution set of the quadratic inequality x squared minus 5 x plus 4 less or equal than 0 is

BigorU [14]

Answer:

it is equal to 0

7 0

3 years ago

Find the value of k given that logk - log (k-2) = log5

victus00 [196]

k = $\frac{5}{2}$

using the ' laws of logarithms '

log x - log y = log ( $\frac{x}{y}$ )

logx = logy ↔ x = y

logk - log(k - 2) = log5

log ( $\frac{k}{(k - 2)}$ =log 5

$\frac{k}{(k - 2)}$ = 5

5(k - 2) = k

5k - 10 = k

4k = 10 ⇒ k = $\frac{10}{4}$ = $\frac{5}{2}$

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vlada-n [284]

A>0 so function rises

b=-1 so for x=0 ⇒ y<-1

we look for y that is above the line

so answer is the last <span>graph.</span>

"Non nobis Domine, non nobis, sed Nomini tuo da gloriam."

<span>Regards M.Y.</span>

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4 years ago

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