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:
384
Step-by-step explanation:
8 x 6 = 48
48 x 2 = 96
12 x 10 = 120
6 x 12 = 72
8 x 12 = 96
96 + 120 + 72 +96 = 384
Answer:
t(d) = d/65
Step-by-step explanation:
To solve for t, divide by its coefficient:
d = 65t
d/65 = 65t/65 . . divide* by 65
d/65 = t . . . . . . . simplify
Then you can write it in function form if you like:
t(d) = d/65
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* Of course, the rules of equality say you must divide <em>both sides</em> of the equation by the same number.
Answer:
a) I donot agree with him because as we see the sequence nicely we will find an interval of 8 between any two terms and 32 and 33 don't match them
Step-by-step explanation:
b) and c) Solution:
Given,
First term (a) = 4
Common difference (d) = 12-4 = 8
Now,
Since, they are in A.P.
nth term = a + (n-1)d
= 4 + 8(n-1)
= 4 + 8n-8
= 8n-4
Again,
1st method for c)
100th term = a + 99d = 4 + 99*8 = 4 + 792 = 796
200th term = a + 199d = 4 + 199*8 = 4 + 1592 = 1596
2nd method for c)
100th term = 8*100 - 4 = 800 - 4 = 796
200th term = 8*200 - 4 = 1600 - 4 = 1596
Answer:
87.75
Step-by-step explanation:
19.74 + 72.73= 92.47
92.47 - 4.72 = 87.75
