When I'm 64

A buck sold 32,300 copies in its first month of release. Suppose this represents 8.8% of the number of copies sold today. How ma

harkovskaia [24]

8% of 32,300=x
.08 x 32,300= 2,584

8 0

2 years ago

Find the equation of the line that passes through (-1,2) and is perpendicular to 2 y = 2 x − 1 . Leave your answer in the form y

Bogdan [553]

The equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, $2 y = 2 x - 1$ is: $y = -x + 1$

Recall:

Equation of a line in slope-intercept form is: $y = mx + c$ , where, slope = m, and y-intercept = c.

Point-slope form is: $y - b = m(x - a)$

The slope value of a line will be the negative reciprocal of the slope of the line it is perpendicular to. i.e. if the slope of a line is a, the slope of the line that it is perpendicular to will be -a.

Given:

The line passes through point (-1, 2)

Equation of line it is perpendicular to is: $2 y = 2 x - 1$

To write the equation of the line that passes through (-1, 2), we need to find the slope value.

First, rewrite $2 y = 2 x - 1$ and find its slope.

$\frac{2y}{2} = \frac{2x}{2} - \frac{1}{2} \\\\y = x - \frac{1}{2}$

The slope (m) of $2 y = 2 x - 1$ is therefore 1.

Thus, the slope (m) of the line that passes through (-1, 2) will be the negative reciprocal of 1 = -1.

Write the equation of the line by substituting (a, b) = (-1, 2) and m = -1 into $y - b = m(x - a)$ :

Thus:

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

Rewrite this in the form of $y = m x + c$

Thus:

$y - 2 = -x - 1\\\\y = -x - 1 + 2\\\\y = -x + 1$

Therefore, the equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, $2 y = 2 x - 1$ is $y = -x + 1$

Learn more here:

brainly.com/question/12313302

6 0

2 years ago

Can somebody explain this in a basic way and help me graph it??!!

7nadin3 [17]

Hello!

To graph this, you will want to create two points based off of the equation. You plug an x-value into the equation, and you put the y-value outcome with it as an ordered pair. You do this twice, giving you two points to connect.

For example, let's plug in an x-value 1, giving us (1,y)

y= 1-3 (We remove the absolute value)

y=-2 (Subtract)

This gives us one point, (1,-2)

Let's try using -2 as another point.

y= 2-3 (Remove absolute value)

y= -1 (Subtract)

This gives us the point (-2,-1)

To graph, you would draw a straight line through the points (1,-2) and (-2,-1). Note you could do this with any x-value and you would get the same line.

I hope this helps!

3 0

2 years ago

Read 2 more answers

I will send a picture of it thanks

Oxana [17]

Answer:

0.5 - put in the middle of 0 and 1

-3/2 - put in the middle of -2 and -1

1 1/3 - put in the middle of 1 and two but a little closer to one

-2.25 - put a point in the middle of -2 and -3 then another point in the middle of the point you made and -2 then delete the 1st one

Step-by-step explanation: