What is 20 x 14 = ? :))))

Dana reflects point A(2,5) across line small script letter lℓ to get image point Upper A primeA′(6,1). What is an equation for

valentinak56 [21]

Firstly, we will draw diagram of the scenario

Dana reflects point A(2,5) across line small script letter lℓ to get image point Upper A primeA′(6,1)

It means that AA' is perpendicular bisects of line(l)

so, let's assume it intersects at point M

so, M will be mid-point between A and A'

$M=(\frac{2+6}{2},\frac{5+1}{2})$

$M=(4,3)$

M is a point on line (l)

now, we will find slope of line on AA'

x1=2 , y1=5

x2=6 , y2=1

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{1-5}{6-2}$

$m=-1$

now, we know that line (l) and AA' are perpendicular to each other

so, slope of line(l) is -1/m

slope=1

so, we have slope and a point

$m=1$

$M=(4,3)$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

now, we can plug values

$y-3=1(x-4)$

$y=x-1$

so, the equation of line (l) is

$y=x-7$ ..............Answer

7 0

3 years ago

Read 2 more answers

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

5 0

3 years ago

How do i graph 3tan(x+30)

Marina CMI [18]

$y = 3tan(x + 30)$
$y = 3(\frac{tan(x) + tan(30)}{1 - tan(x)tan(30)})$
$y = \frac{3(tan(x) + tan(30))}{1 - tan(x)tan(30)}$
$y = \frac{3(tan(x)) + 3(tan(30))}{1 - tan(x)tan(30)}$
$y = \frac{3tan(x) + 3tan(30)}{1 - tan(x)tan(30)}$

5 0

3 years ago

Is (-3, -2) a solution to the equation y = -2x + -8?

denis23 [38]

Answer:

(-3, -2) is a solution of y = -2x + -8

Step-by-step explanation:

y = -2x + -8

(-3, -2) are the coordinates of P(x,y)

-2= -2(-3) - 8

-2 = +6 - 8

-2 = -2

Since LHS = RHS, (-3, -2) is a solution of y = -2x + -8

4 0

3 years ago

Find the domain of the graphed function.

Crazy boy [7]

Answer:

option d bro

Step-by-step explanation:

the answer is option d x>=0

4 0

3 years ago