check the picture below.
a positive slope, means an increasing slope, namely, a line that is higher from left-to-right, so the right tip of it is going upwards. A negative y-intercept,
now, if you notice the 3 green lines, the line is increasing, the right-side is higher than the left-side, and the y-intercept, namely where x = 0, or where the graph touches the y-axis, their y-intercept is on a negative value of y.
now, look at the red line, it has also a positive slope, is increasing, however, there's no way it can have negative y-intercept. If it remains increasing, it can only have a y-intercept of 3 or higher, but not lower than that. The only way it can have a negative value for the y-intercept is if it tips over, but if we do that, the slope will be decreasing.
A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. I dont know about the other question
area of the opening 14.93 sq. inch.
From this statement "the area of the opening may be expressed as the function: a(θ) = 16 sin θ ⋅ (cos θ + 1).
if θ = 30°
We can substitute 30° in the expression a(θ) = 16 sin θ ⋅ (cos θ + 1) to get the area of the opening.
The area of the opening = 16 sin 30 ⋅ (cos 30 + 1)
= 16x0.5 (0.866 + 1)
= 8(1.866)
= 14.93 sq. inch.
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The answer is 326. this is simple.
The line passes through (2,-3) and (4,2).
Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2
The equation of the line is therefore
Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16
Answer: C. 5x - 2y = 16
