Round 73 to the nearest ten

What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?

KonstantinChe [14]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The required equation is ~

$\boxed{ \sf{y = \frac{x}{2} + 2 }}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's find the slope of given line ~

$y = - 2x + 5$

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

$- 2 \times n = - 1$

$n = \dfrac{ - 1}{ - 2}$

$n = \dfrac{1}{2}$

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

$y - y_1 = m(x - x_ 1)$

here, m = slope ~

$y - 2 = \dfrac{1}{2} (x - 0)$

$y - 2 = \dfrac{x}{2}$

$y = \dfrac{x}{2} + 2$

I hope it helps ~

4 0

2 years ago

Which is a translation of the shaded figure?

borishaifa [10]

Figure 2 is the translation of the provided figure.

Step-by-step explanation:

The translation is a very common term in applied geometry. It refers to the shifting of the figure without subjecting it to any kind of rotation, reflection or scaling.

The original image that is to be translated, is called pre-image after the process of translation. While the translated image is called image.

In the given figure, Only figure 2 seems to be in the same orientation as of the original image. Hence, figure 2 is the image after a translation

5 0

3 years ago

A political scientist wants to know how college students feel about the Social Security system. She obtains a list of the 3456 u

Marina CMI [18]

Answer:

For this case the population is described as:

All the college students

And the political have a list of 3456 undergraduates at her college for the sampling frame.

The sample would be the 104 students who return the survey.

Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.