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3 years ago

6

HEEEELPPPPP Which is the graph of the equation

1 answer:

krek1111 [17]3 years ago

8 0

the answer is........ C

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Check al

makvit [3.9K]

Writing $5x-2y=-6$ in slope-intercept form:

$5x-2y=-6\\5x+6=2y\\\frac{5x+6}{2}=y\\y=\frac{5}{2}x +3$

The slope of the line is the number before "x", which is $\frac{5}{2}$ .

The slope of the perpendicular to this line is the negative reciprocal of this.

<u>So the slope of perpendicular is $-\frac{2}{5}$ .</u>

To find the equation of the perpendicular line, we need a point. It is given as $(5,-4)$ where $x_{1}=5$ and $y_{1}=-4$ .

Now we use the point-slope form of a line to figure out the equation:

$y-y_{1}=m(x-x_{1})$

Plugging in the values of $x_{1}$ and $y_{1}$ and $m=-\frac{2}{5}$ , gives us:

$y-(-4)=-\frac{2}{5}(x-5)\\y+4=-\frac{2}{5}x+2\\y+\frac{2}{5}x=2-4\\y+\frac{2}{5}x=-2$

<u>Multiplying everything by 5 [to get rid of the denominator] and re-arranging gives us:</u>

$y+\frac{2}{5}x=-2\\5y+2x=-10\\2x+5y=-10$ .

THIS IS THE SECOND OPTION.

ANSWER: $2x+5y=-10$

3 0

4 years ago

Jjjskepwphhdodkedpdwejfpclv

lapo4ka [179]

It’s 2 I’m pretty sure.

5 0

4 years ago

What dose 3+ 3(a) simplify to when a=5

Stolb23 [73]

You do 3 times 5 which equals 15 so it becomes 3+15

3 0

3 years ago

Read 2 more answers

The coordinates of the midpoints of GH are M (4,3) and the coordinates of one endpoints are G (5,-6) the coordinates of the othe

Rasek [7]

Answer:

The co - ordinates of another end point is

(x,y) = (3, 12)

Step-by-step explanation:

<u>step :-</u>

<u>mid point formula:-</u>

Let $(x_{1} ,y_{1} ) and (x_{2} ,y_{2} )$ be any two end points

Mid point of two given points are

$(\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )$

let (x,y ) be the another end point

given one end point is (5,-6)

now by using mid-point formula , we get

$(\frac{x+5}{2} , \frac{y-6}{2} )$ this is equating to given mid-point is M(4,3)

now $(\frac{x+5}{2} , \frac{y-6}{2} )=(4,3)$

simplify , we get

$\frac{x+5}{2} =4 and \frac{y-6}{2} =3$

cross multiplication and simplify

$x+5 = 8 and y-6=6$

x = 3 and y = 12

The another point is (x,y) = (3,12)

4 0

3 years ago

HELP I NEED HELP ASAP

Natalija [7]

Answer:

A) (2,5)

Step-by-step explanation:

longest side is between points (1,4) and (3,6)

so midpoint is ((1+3)/2), ((4+6)/2), which equals (2, 5)

8 0

3 years ago