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3 years ago

13

3.) Simplify the expression.

1 answer:

Bogdan [553]3 years ago

6 0

Answer:

Option C) -cosu is correct

Therefore the simplified expression is $cos(u+\pi)=-cosu$

Step-by-step explanation:

Given expression is $cos(u+\pi)$

To find the value of the given expression :

By using the formula $cos(A+B)=cosAcosB-sinAsinB$

Substitute A=u and $B=\pi$ in the above formula we get

$cos(u+\pi)=cosucos\pi-sinusin\pi$

$=cosu(-1)-sinu(0)$ ( here $cos\pi=-1$ and $sin\pi=0$ )

$=-cosu-0$

$=-cosu$

$cos(u+\pi)=-cosu$

Therefore option C) -cosu is correct

Therefore the simplified expression is $cos(u+\pi)=-cosu$

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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-

Elena-2011 [213]

$y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)$

3 0

2 years ago

1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he app

Ahat [919]

Answer:

C. No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.

Step-by-step explanation:

<u>Proper application of the property:</u>

- 5(m - 2) - 25 = -5m - 5(-2) - 25 = -5m + 10 - 25 = -5m - 15

Vinay multiplied 5 and 25 as well, which is incorrect.

Correct answer choice is C.

8 0

3 years ago

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor sho

RoseWind [281]

Answer:

325,452 more meteors fell during the Perseid meteor shower

Step-by-step explanation:

An year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in an year:

365*24*60 = 525600

Persoid:

$1 + \frac{1}{5} = 1 + 0.2 = 1.2$

One each 1.2 minutes. How many during an year?

1 meteor - 1.2 minutes.

x meteors - 525600 minutes.

$1.2x = 525600$

$x = \frac{525600}{1.2}$

$x = 438000$

438,000 meteors fell during the Persoid shower.

Leonid:

$4 + \frac{2}{3} = 4.67$

One each 4.67 minutes. How many during an year.

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

$4.67x = 525600$

$x = \frac{525600}{4.67}$

$x = 112548$

112,548 meteors fell during the Leonid Shower.

How many more meteors fell during the Perseid meteor shower?

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0

3 years ago

A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meter

Likurg_2 [28]

Answer:

216m^3

Step-by-step explanation:

find the area of the face 12m

times the face by the length

18×12=216

5 0

3 years ago

Read 2 more answers

Find the value of x. Round the length to the nearest tenth.

elena-s [515]

Answer:

The answer is. 5 cause 40÷8=5

4 0

2 years ago