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Archy [21]
3 years ago
13

For what values of the variable does the following expression make sense:

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

This question revolves around the concept of domain (primarily) and range (secondarily).  The domain of the square root function is [0, +infinity).


The domain of "three times the sqrt of a" shares that domain:  [0, +infinity).

We were not asked to come up with the range, but if the range is wanted, it is

[0, +infinity).

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Helpppp meeeeeee asssapppp noooo rockyyyyyy
Mamont248 [21]

Answer:

12

Step-by-step explanation:

4y - 2x

= 4(7) - 2(8)

= 28 - 16

= 12

4 0
3 years ago
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>

5 0
3 years ago
The congruent sides of an isosceles triangle are called ____, and the third side is called the _____.
In-s [12.5K]

Answer:


Step-by-step explanation:

Congruent sides are called legs.


Third side is called the base.

4 0
3 years ago
Part A: Find the area of the figure to the nearest tenth.
dimulka [17.4K]

Answer:

12

Step-by-step explanation:

side 1: 4

side 2: 6

6*4*(1/2)

12

6 0
3 years ago
Determine if the relation is a function. <br><br> (−1,4),(2,4),(3,0),(1,7)
vlada-n [284]

Answer:

It is a function

Step-by-step explanation:

The x values are different; if they were to be the same, such as (1,7),(2,8),(1,9) it would be incorrect.

7 0
3 years ago
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