Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.

What rule describes the translation? Write tule as an ordered pair

RSB [31]

For A (x+6), (y-2)
For B (x+6), (y-2)
For C (x+2), (y+2)
Good luck

8 0

3 years ago

I NEED HELP ON THIS PROBLEM!!! PLEASE

Allushta [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$5x+8y=-9\implies 8y=-5x-9\implies y=\cfrac{-5x-9}{8} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{5}{8}} x-9\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

well then, so since this equation has that slope therefore

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{-5}{8}} ~\hfill \stackrel{reciprocal}{\cfrac{8}{-5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{8}{-5}\implies \cfrac{8}{5}}}$

so we're really looking for the equation of a line whose slope is 8/5 and runs through (10,10)

$(\stackrel{x_1}{10}~,~\stackrel{y_1}{10}) ~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{8}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{8}{5}}(x-\stackrel{x_1}{10})$

5 0

3 years ago

Svetlana hair is 4 centimeters long. Her hair grows 1.5 cm per month. Svetlana wants her hair to grow so at least 7 cm long. Wri

Andrei [34K]

Let "per month" = m

The inequality is

1.5m + 4 ≥ 7

+ 4: Her hair right now is 4 cm long

1.5m: Her hair grows 1.5 per month (m)

≥ 7: She wants it to be at least 7 or more.

1.5m + 4 ≥ 7 is your answer

hope this helps

3 0

3 years ago

The cost of a car rental is 30$ per day plus 27 cents per mile. You are on a daily budget of 76 $. Write and solve an inequali

denis-greek [22]

Answer:

okok so the answer is

Step-by-step explanation:

45.55+30=74.55

0.27 * 168=45.36

45.36+30=75.36

So he can drive 168 miles each day at most to stay within his budget.

Hope this helps :)

4 0

3 years ago

our goal is to run a mean of 45 minutes per day for a week. For the first six days, you run 38, 40, 40, 42, 43, and 50 minutes.

oksano4ka [1.4K]

Answer:

62 minutes.

Step-by-step explanation:

To find the mean, you need to add together all of your values (the minutes) and divide them by the number of values (how many sets of minutes given).

So, choosing to add 62 minutes:

38 + 40 + 40 + 42 + 43 + 50 + 62 = 315

There are 7 sets of minutes in total, so we then divide 315 by 7.

315/7 = 45 minutes

Therefore, running 62 minutes on the seventh day would cause you to run a mean of 45 minutes per day for the week.

6 0

3 years ago