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kotegsom [21]
3 years ago
15

Is square root 4 + square root 16 rational

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

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Find the general solution of <img src="https://tex.z-dn.net/?f=2cos%282x%20%2B%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%29%20%3D%20%5Cs
Aleks04 [339]

Answer:

\large\boxed{x=-\dfrac{\pi}{4}+k\pi\ \text{or}\ x=k\pi\ \text{for}\ k\in\mathbb{Z}}

Step-by-step explanation:

2\cos\left(2x+\dfrac{\pi}{4}\right)=\sqrt2\qquad\text{divide both sides by 2}\\\\\cos\left(2x+\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\to2x+\dfrac{\pi}{4}=\pm\dfrac{\pi}{4}+2k\pi\\\\2x+\dfrac{\pi}{4}=-\dfrac{\pi}{4}+2k\pi\ \vee\ 2x+\dfrac{\pi}{4}=\dfrac{\pi}{4}+2k\pi\qquad\text{subtract}\ \dfrac{\pi}{4}\ \text{from all sides}\\\\2x=-\dfrac{2\pi}{4}+2k\pi\ \vee\ 2x=2k\pi\qquad\text{divide all sides by 2}\\\\x=-\dfrac{\pi}{4}+k\pi\ \vee\ x=k\pi\ \text{for}\ k\in\mathbb{Z}

5 0
4 years ago
Choose the equation that satisfies the data in the table.
Zanzabum

Answer:

B. y = \frac{2}{15} X + 2

Step-by-step explanation:

I. Given x = 15 and y = 4

         4 = \frac{2}{15}(15) + 2

         4 = 2+2

         4 = 4 true

II. Give x = 0 and y = 2

         2 = \frac{2}{15}(0) + 2

         2 = 0 + 2

         2 = 2 true

III. Given x = -15 and y = 0

         0 = \frac{2}{15}(-15) + 2

         0 = -2 + 2

        0 = 0 true

Good luck.

6 0
3 years ago
find three consecutive even integers such that the sum of the smallest integer and twice the median integer is 20more than the l
3241004551 [841]
X = smallest; x + 2 = middle, and x + 4 = largest
x + 2(x+2) = 20 + x + 4
x + 2x + 4=24 +x
3x + 4 = 24 + x
2x = 20
x = 10
so the three integers are 10, 12, and 14
3 0
4 years ago
What is the slope of the line that passes through the points (3,-1) and (2,-5)
LekaFEV [45]

The slope m is 4. See picture.


5 0
4 years ago
Read 2 more answers
Put the polynomial, 5 - 3x ^ 2 + 4x + 5x ^ 3 in standard form please!
Tju [1.3M]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

6 0
3 years ago
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