<h3>Answer: Choice A) x+14</h3>
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Work Shown:
(f-g)(x) = f(x) - g(x)
(f-g)(x) = (f(x)) - (g(x))
(f-g)(x) = (3x+10) - (2x-4)
(f-g)(x) = 3x+10 - 2x+4
(f-g)(x) = (3x-2x) + (10+4)
(f-g)(x) = x+14
Parallel lines has equal slopes. Hence slope of line = -1/2
equation of line is (y - y1) = -1/2(x - x1)
y - (-6) = -1/2(x - 4)
y + 6 = -1/2x + 2
y = -1/2x + 2 - 6
y = -1/2x - 4
Answer:
Step-by-step explanation:
Given the set of datas 3, 7 and 2, we are to evaluate the folowing;
Σ2X – 2 and Σ(X – 1)² =where X are the individual datas.
We will substitute each of the data as value of X and ten take the sum as shown;
For Σ2X – 2
Σ2X – 2 = [2(3)-2]+[2(7)-2]+[2(2)-2]
Σ2X – 2 = (6-2)+(14-2)+(4-2)
Σ2X – 2 = 4+12+2
Σ2X – 2 = 18
For Σ(X – 1)² where x values are also 3, 7 and 2 we will have;
Σ(X – 1)² = (3 – 1)²+(7 – 1)²+(2 – 1)²
Σ(X – 1)² = 2²+6²+1²
Σ(X – 1)² = 4+36+1
Σ(X – 1)² = 41
The unknown angles are in a ratio of 7 to 13.
Let 7x represent the smaller measure.Then, 13x represents the larger measure.
7x + 13x + 140 = 180
20x + 140 = 180
20x = 40
x = 2
7x = 7 * 2 = 14
13x = 13 * 2 = 26
The measures are 14 degree and 26 degrees.
