Answer:
x = 4
Step-by-step explanation:
It is given that 
, and we have to solve the given equation for x.
Now, we have
Squaring both sides we get
![[\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}](https://tex.z-dn.net/?f=%5B%5Csqrt%7B%28x%20-%203%29%7D%5D%20%5E%7B2%7D%20%3D%20%5B%5Csqrt%7Bx%7D%20%2B%203%5D%5E%7B2%7D)
⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}
⇒ 6√x = - 12
⇒ √x = -2
Again squaring both sides we get
⇒x = 4 (Answer)
Perpendicular lines have negative reciprocals. This means that if you multiply the slopes of both lines, the product will be a -1.
In your given point-slope equation, the slope is 1/3. Therefore, the negative reciprocal of 1/3 must be -3.
Out of the given options:
y + 2 = -3(x — 4)
y = -3x - 5
are the linear equations that are perpendicular to y — 1 = 1/3(x + 2).
Therefore, the correct answers are Options 1 and 3.
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Answer:
Since all three of the interior angles are the same degree, the three sides must be the same length. So, 3x - 5, 4x - 30, and 2x + 20 must be equal.
To solve for x, you can just set one of the sides equal to another one of the sides. I will do 3x - 5 and 4x - 30.
3x - 5=4x - 30
Add 5 to both sides.
3x = 4x - 25
Subtract 4x from both sides.
-x = -25
Divide both sides by -1.
x=25
:)
