If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.
<h3>How to use determinant to find a value in a matrix?</h3>
The determinant of the matrix A is as follows:
|A| = 48
Therefore,
48 = (3x × 2x) - (4x × 3)
48 = 6x² - 12x
6x² - 12x - 48 = 0
3x² - 6x - 24 = 0
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x(x + 2 -4(x + 2) = 0
(x - 4)(x +2) = 0
Therefore,
x = 4 or -2
learn more on determinant here: brainly.com/question/19206601
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Explanation: I’m takin the test to
Step-by-step explanation:
47)25+35x+4x-1=180
24+39x=180
39x=180-24
39x=156
x=4
48)70+9x-5+13x+5=180
70+22x=180
22x=180-70
22x=110
x=5
Hope this helps u...
Answer:
Step-by-step explanation:
Arc length of the circle is given by,
Arc length = ![\frac{\theta}{360^{\circ}}(2\pi r)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20r%29)
Area of the sector of a circle = ![\frac{\theta}{360^{\circ}}(2\pi r)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20r%29)
22). Arc length of the circle having central angle = ![\frac{\pi}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B3%7D)
= 60°
Arc length = ![\frac{60^{\circ}}{360^{\circ}}(2\pi )(7)](https://tex.z-dn.net/?f=%5Cfrac%7B60%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%287%29)
= ![\frac{14\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B14%5Cpi%20%7D%7B6%7D)
= 7.33 cm
23). Arc length of the circle having central angle = 225°
Arc length = ![\frac{225^{\circ}}{360^{\circ}}(2\pi )(10)](https://tex.z-dn.net/?f=%5Cfrac%7B225%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%2810%29)
= 12.5π
= 39.27 km
24). Central angle = ![\frac{5\pi }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)
= ![\frac{5\times 180^{\circ}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Ctimes%20180%5E%7B%5Ccirc%7D%7D%7B4%7D)
= 225°
Area of the sector = ![\frac{225^{\circ}}{360^{\circ}}(2\pi )(11)](https://tex.z-dn.net/?f=%5Cfrac%7B225%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%2811%29)
= 43.20 yd²
25). Area of the sector = ![\frac{270^{\circ}}{360^{\circ}}(2\pi )(14)](https://tex.z-dn.net/?f=%5Cfrac%7B270%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%2814%29)
= 65.97 yd²
Answer:
Slope (m) = infinity
Step-by-step explanation:
Given points:
⇒ (9, 2) and (9, 27)
In order to find the <em>slope</em> of these points, we must use the <em>slope</em> formula.
So the formula is ⇒ y₂ - y₁ / x₂ - x₁
<em>Plug</em> in the<em> given </em>points:
⇒ 27 - 2 / 9 - 9
Solve both the top and bottom (<em>numerator and denominator</em>):
⇒ 25 / 0
Divide:
⇒<em> Undefined. </em>
(<em>Anything</em><em> </em>divided by <em>zero</em> is undefined).