kaleahearly123
03.12.2019 •
Mathematics
Determine the value of x so that the line containing the given points is parallel to another line whose slope is also given.
12. a(x, 5) and b(-4,3)
slope = -1
13. r(3, -5) and s(1, x)
slope = -2
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Ответ:
Step-by-step explanation:
12) A(x, 5) and B(-4,3)
slope = -1
We want to determine the value of x so that the line AB is parallel to another line whose slope is given as -1
Slope, m is expressed as change in y divided by change in x. This means
Slope = (y2 - y1)/(x2 - x1)
From the information given
y2= 3
y1 = 5
x2 = -4
x1 = x
Slope = (3-5) / (-4-x) = -2/-4-x
Recall, if two lines are parallel, it means that their slopes are equal. Since the slope of the parallel line is -1, therefore
-2/-4-x = -1
-2 = -1(-4-x)
-2 = 4 + x
x = -2 - 4 = - 6
x = -6
13) R(3, -5) and S(1, x)
slope = -2
We want to determine the value of x so that the line RS is parallel to another line whose slope is given as -2
Slope = (y2 - y1)/(x2 - x1)
From the information given
y2= x
y1 = -5
x2 = 1
x1 = 3
Slope = (x - -5) / (1 - 3) = (x+5)/-2
Since the slope of the parallel line is -2, therefore
(x+5)/-2 = -2
x + 5 = -2×-2
x + 5 = 4
x = 4 - 5 = - 1
Ответ:
25.1349955242 m²
Explanation:
C = 2√πA
This means that the circumference is 2 multiplied by the square root of pi. multiplied by the area.
Pi. - 3.14
Area - 50.3
√πA - 12.5674977621
2 · 12.5674977621 = 25.1349955242
Circumference - 25.1349955242