One common example of perpendicular lines in real life is the point where two city roads intersect. When one road crosses another, the two streets join at right angles to each other and form a cross-type pattern. Perpendicular lines form 90-degree angles, or right angles, to each other on a two-dimensional plane<span>Other real-world examples of perpendicular lines include graph paper, plaid patterns on fabric, square lines of floor tiles, lines of mortar on brick walls, the intersecting lines of a Christian cross, metal rods on the cooking surface of a barbecue grill, wooden beams in the wall of a house, and the designs on country flags such as Norway, the United Kingdom, Switzerland, Greece, Denmark and Finland. Perpendicular lines form the corner of squares and rectangles in various real-world shapes.Perpendicular lines create four right angles at their intersection point, making 360 degrees total. Perpendicular lines also form one angle of a right triangle. Perpendicular lines are concepts taught in algebra and geometry as students learn to calculate slopes of lines on graph paper.</span><span>Parallel lines differ from perpendicular lines in that parallel lines never intersect. Real-world examples of parallel lines include railroad tracks, stripes on the American flag, power lines hung between poles, lines on composition paper and plugs at the end of electrical cords.</span>.
The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:
y=2(0+3)(0+4)
y=2(3)(4)
y=24
Therefore, 24 is our answer.
Hope I helped :)
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have




Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9
Answer:
the rate of depreciation is Rs. 288 per year.
Step-by-step explanation:
here's the solution in attachment.
50
0+99
1+98
....
....
49+50
Then stop
because 49+50 is the same pair as 50+49 and 51+48 is the same as 48+51 (already counted)