Answer:
26
Step-by-step explanation
Divide 312 by 12. First step is to divide 310 by 12, 12 goes into 310, 20 times. The remainder is 70. Next divide 72 by 12. 12 goes into 72, 6 times. The answer is 20 plus 6, 26
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Answer:
6 √2 -4 √3
Step-by-step explanation:
Here, we want to rationalize the denominator of the following surdic fraction;
2√6/(√2 + √3)
To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator
The conjugate of the denominator is √2 - √3
So, we have the rationalization as follows;
2 √6(√2-√3)/(√2 + √3)(√2-√3)
Thus, we have
(4√3-6 √2)/(-1)
= 6 √2 -4 √3
Answer:
x = -1
Step-by-step explanation:
Given the point, (-1, 2), and that the slope is <u><em>undefined</em></u>.
The standard linear equation of vertical lines is <em>x</em> =<em> a</em>, where the x-intercept is (<em>a</em>, 0), and the slope is undefined because all points on the line have the same x-coordinate. Attempting to solve for the slope of a vertical line using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), will result in a mathematical operation of <u>division by zero</u> (which is an <em>undefined operation</em>).
Since the slope is <u>undefined</u>, then it is <u>not possible</u> to create a linear equation in either the slope-intercept form, or point-slope form.
Therefore, the equation of a vertical line given the point, (-1, 2) is <em>x</em> = -1.