Answer: 2.2= 11/5 or 1 1/5
Hello!
To find the line parallel to the line x + 2y = 6 and passing through the point (1, -6), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.
Since the given equation is written in standard form, we will need to change it to slope-intercept form to get the slope. Slope-intercept form is: y = mx + b.
x + 2y = 6 (subtract x from both sides)
2y = 6 - x (divide both sides by 2)
y = 6/2 - x/2
y = -1/2x + 3 | The slope of parallel lines are -1/2.
Since we are given the slope, we need to find the y-intercept of the line that goes through the point (1, -6) by substituting that point into a new equation with a slope of m equalling to -1/2.
y = -1/2x + b (substitute the given point)
-6 = -1/2(1) + b (simplify - multiply)
-6 = -1/2 + b (add 1/2 to both sides)
b = -11/2 | The y-intercept of the parallel line is -13/2.
Therefore, the line parallel to x + 2y = 6 and goes through the ordered pair (1, -6) is y = -1/2x + -11/2.
Answer:
<u>4.63 as simplified fraction is</u>
<u>463/100</u>
Step-by-step explanation:
<em>4.63 as a fraction in simplest form</em>
<em>To convert 4.63 to fraction, follow these steps:</em>
<em />
<em>First write down the decimal number divided by 1 like this:</em>
<em />
<em>4.63/1</em>
<em />
<em>As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator</em>
<em />
<u><em>4.63 × 100</em></u>
<em> 1 × 100</em>
<em> = </em>
<em>463/100</em>
<em />
<em>As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:</em>
<em />
<em>4 63/100</em>
(7/3 *3sqrt27-2)*1/5 +sqrt(81)
answer = 10
