The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have the line y = 2x - 5.
The parallel lines have the same slope. Therefore we have y = 2x + b.
Put the coordinates of the point B(8, 6) to the equation:
6 = 2(8) + b
6 = 16 + b <em>subtract 16 from both sides</em>
-10 = b → b = -10
The equation of a line: y = 2x - 10.
Put the coordinates of the point A(n, 4) to the equation:
4 = 2(n) - 10 <em>add 10 to both sides</em>
14 = 2n <em>divide both sides by 2</em>
<h3>7 = n → n = 7</h3>
Answer:
x=-4
Step-by-step explanation:
The given equation is
Subtract 3 from both sides.
Divide both sides by -2.
If |x|=a, then x=a or x=-a.
Case 1: 
Subtract 1.5 from both sides.
Divide both sides by 0.5.
Case 2: 
Subtract 1.5 from both sides.
Divide both sides by 0.5.
Therefore, one solution is x=-2 and other solution is x=-4.
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Step-by-step explanation:
Y=4x shows y as the total earnings and x as the number of windows
We have to assume that the pentagon shape is regular so that all sides have equal length. The lateral area is the sum of the areas of 5 triangles, all with the same base length and height.
.. lateral area = 5*(1/2)*(3 cm)*(9 cm) = 67.5 cm^2
.. base area = given as 15.5 cm^2
Total area = lateral area +base area = (67.5 +15.5) cm^2 = 83 cm^2.
