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ValentinkaMS [17]
3 years ago
5

What is the meaning of the slope of the line ?

Mathematics
1 answer:
Mila [183]3 years ago
4 0

Step-by-step explanation: In algebra, we use the word <em>slope</em> to describe how steep a line is and slope can be found using the ratio <em>rise/run </em>between any two points that are on that line.

The ratio <em>rise/run</em> is the equal to the rate of change

or the <em>change in y/change in x</em>.

In algebra, the rate of change or the <em>change in y/change in x</em> or

the <em>rise/run</em> is also called the slope of a line.

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The regular price of a watch is $32.25. During a sale, the watch was marked 16% off. What was the price of the watch during the
Serga [27]

Answer:

$ 27.09

Step-by-step explanation:

Given,

The regular price of the watch = $ 32.25,

The marked off percentage or discount percentage, in the sale = 16%,

So, the amount of marked off = 16% of regular price

= 16% of 32.25

= 0.16 × 32.25

= $ 5.16

Hence, the the price of the watch during the sale = Regular price - marked off

= $ 32.25 - $ 5.16

= $ 27.09

Last option is correct.

6 0
3 years ago
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What is the area of this figure?<br><br> Enter your answer in the box.
earnstyle [38]
To find the area you do base times height. Base is the number across,and height is the number that is up and down.So in this case you will multiply 9 and 5 and 9 and 7 and get 45 and 72.Then you will add 45 and 72 together and get 117. So the area is 117. Answer 117. Hope this helps :D.
5 0
3 years ago
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Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

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What is (64 p to the power of 18)to the power of 5/6?
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