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2 years ago

Which of these is a point-slope equation of the line that is perpendicular to

Mathematics

1 answer:

stellarik [79]2 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 4(x - 10) ← is in point- slope form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{4}$

The perpendicular line passes through (- 3, 7), hence

y - 7 = - $\frac{1}{4}$ (x - (- 3)), that is

y - 7 = - $\frac{1}{4}$ (x + 3) → D

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En el cumpleaños de Andrea, David comió de la torta 2 5 , Sofí 3 7 , y Julián 1 4 , ¿Qué fracción de torta comieron entre los tr

Scorpion4ik [409]

Answer:

Step-by-step explanation:

2/5 + 3/7 + 1/4 = 28/140 + 60/140 + 35/140 = 123/140

8 0

2 years ago

A repair person charges $25 per hour plus and initial service charge of $30.

Norma-Jean [14]

Answer:

The repair person did 5 hours of work.

Step-by-step explanation:

155 = 25x + 30

125 = 25x

5 = x

6 0

2 years ago

Read 2 more answers

ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=48-%2B20" id="TexFormula1" title="48-+20" alt="48-+20" align="absmiddle" class="latex-formula"

poizon [28]

Answer:

240

the always the + and the - = +

so positive plus minus equals positive

5 0

2 years ago

PLS ANSWER ASAP! Enter the equation of the line in the form y=mx Where m is slope

AURORKA [14]

Answer:

Well technically its inf due to the arrow, there are no points showing where to start from and where to end

the way you do it it you just count the amount of units it goes up, in this case for every square its going up 5 units, once you get that number you put that on top of your fraction, then you go over on the x axis till you hit your line (x axis is going by 10 every time). This would be your number on the bottom of the fraction.

Ill do what I can see here

40 1

---- Simplified to ----

80 2

Step-by-step explanation:

Obviously this isnt the answer but thats how you get it, hope this helps

4 0

1 year ago