Answer:
Slope: 1/2.5
Y-intercept: -1
Step-by-step explanation:
The distance that will separate each rest stop is 4 kilometers.
<h3>What is the distance?</h3>
Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
The distance = length of the trail / number of rest stops
20 km / 5 = 4km
To learn more about division, please check: brainly.com/question/13281206
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Given was <span><span>cotθ</span>=−<span>21</span></span> and cot is the reciprocal of tan
therefore
<span><span>tanθ</span>=<span>1<span>−2</span></span></span>
solve for the hypotenuse c since t he opposite side <span>a=1</span> and the adjacent sides <span>b=−2</span> were already given. that is,
<span><span>c2</span>=<span>a2</span>+<span>b2</span></span>
<span>c=<span>√<span><span><span>(1)</span>2</span>+<span><span>(−2)</span>2</span></span></span></span>
<span>c=<span>√5</span></span>
Solving for <span>sinθ</span>
<span><span>sinθ</span>=<span><span>oppositesides</span><span>hypoteνse</span></span>=<span>ab</span></span>
<span><span>sinθ</span>=<span>1<span>√5</span></span></span> need to rationalize
<span><span>sinθ</span>=<span>(<span>1<span>√5</span></span>)</span>×<span><span>√5</span><span>√5</span></span></span>
<span><span>sinθ</span>=<span><span>√5</span>5</span></span>
Note that the adjacent side of the angle is <span>−2</span> so the angle
θ is found in the <span>2nd</span> quadrant.
Answer:
The answer for this question is (-infinity,1.5)
Step-by-step explanation:
because when f(x) is increasing f'(x) > 0
-2x + 3 > 0
-2x > -3
x< 3/2 or 1.5
Each of her friends will receive 1/4 of the pie. There were four pieces of the pie, if there are three even pieces now and there are three friends. Each one will get 1 slice each.
