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3 years ago

Hiking at a constant rate, Fred covers 15 miles in 3 hours. predict how far he can hike in 11 hours

Mathematics

2 answers:

Crazy boy [7]3 years ago

8 0

15x11=165

165+3=168

Answer:16 miles

dusya [7]3 years ago

5 0

15 miles every 3 hours is the same as
5 miles every 1 hour so...in 11 hours will be at 5•11=55 miles

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Prove the identity of tan(pi - x) = - tan x

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Two ways:

Step-by-step explanation:

1. First way. Using the trig unit circle.

tan (pi - x) = - tan x

2. Second way. Apply the identity:

tan(a-b)=tan a- tan b/ 1 - tan a×tan b

tan (π - x)= tan π - tanx/1 - tan(π)×tanx

Since tan (pi) = 0, therefor:

tan(π−x)=−tanx

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write the equation of the line that is parallel to the line y=-5/3x-2 and goes throught the point (-3,1)

max2010maxim [7]

Answer:

y = (-5/3)x - 4

Explanation:

The equation of a line with slope m that goes through the point (x1, y1) is:

$y-y_1=m(x-x_1)_{}$

Additionally, two lines are parallel if they have the same slope.

The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.

So, the slope of our line is also -5/3.

Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:

$\begin{gathered} y-1=-\frac{5}{3}(x-(-3)) \\ y-1=-\frac{5}{3}(x+3) \end{gathered}$

Finally, solving for y, we get:

$\begin{gathered} y-1=-\frac{5}{3}x-(\frac{5}{3}\cdot3) \\ y-1=-\frac{5}{3}x-5 \\ y=-\frac{5}{3}x-5+1 \\ y=-\frac{5}{3}x-4 \end{gathered}$

So, the answer is:

y = (-5/3)x - 4

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1 year ago

Jenna and todd are running for president of a school club. The candidates for vice president are todd,annie, and luis. Because t

almond37 [142]

Answer:

B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Luis Todd Annie

Step-by-step explanation:

CHECK THE COMPLETE QUESTION AND OPTIONS BELOW;

Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because Todd is running for both positions, he can't be elected vice president if he is elected president. Which list shows all the possible outcomes for president (P) and vice president (VP)? Answer options with 4 options A. P VP Jenna Annie Jenna Luis Todd Annie Todd Luis C. P VP Jenna Todd Jenna Annie Jenna Luis B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Annie Todd Luis D. P VP Jenna Annie Jenna Luis Todd Jenna Todd Annie Todd Luis

From the question, Candidates that are running to be a president are;(Jenna and Todd)

Candidates that are running to become vice president are; (Todd, Annie, and Luis)

✓ Todd can only be elected as president or as vice president, if he is elected as president then he cannot be elected as vice president.

The list that shows all the possible outcome is

1)Vice president: Todd and President: Jenna

2)Vice president: Annie and President: Jenna

3)Vice president: Luiz and President: Jenna

4)Vice president: Annie and President: Todd

5)Vice president: Luiz and President: Todd

Hence, option B gives the correct answer.

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3 years ago