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3 years ago

What event would be complementary to the event that the product is an even number?

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

The only possibility if a number is not even is that it is odd. Thus, the event would be the product is an odd number.

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).

Svetradugi [14.3K]

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

$\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5$

well then therefore

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}$

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}$

6 0

2 years ago

Find BC round to the nearest tenth

slega [8]

Answer:

6.7

Step-by-step explanation:

Here, we can apply cosine law, $c^2=a^2+b^2-2abcos\theta$

We the plug in values: $(CB)^2+6^2+5^2-2*6*5*cos74$

and solve that CB is around 6.7

3 0

2 years ago

Enguun earns $17 dollars per hour tutoring student-athletes at Brooklyn University

Savatey [412]

17×19.5=331.5 is the answer if I did it right

5 0

3 years ago

what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together,

monitta

Answer:

Tadeo: 12 hours
Dylan: 2 hours

Step-by-step explanation:

We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...

d +6d = 14

7d = 14 . . . . . . collect terms

d = 2 . . . . . . . divide by the coefficient of d

6d = 6(2) = 12

Tadeo volunteered 12 hours; Dylan volunteered 2 hours.

4 0

2 years ago

Juan sells banana bread by weight. He cuts a 1-lb loaf of banana bread into 6 equal slices. He wants to complete the table showi

Westkost [7]

Answer:

0.1 $\frac{}{6}$

Step-by-step explanation:

When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.

i.e $\frac{1}{6}$ = 0.166666666666666...

To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.

i.e $\frac{1}{6}$ = 0.1 $\frac{}{6}$

Note that $\frac{}{6}$ has expressed that the division has 6 as the repeating digit in the decimal number.

4 0

3 years ago