To find the x-intercept, you need to see where the line intersects the x-axis, the horizontal line with numbers on it. The line intersects the x-axis at (2, 0). Therefore, the x-intercept is (2, 0).
To find the y-intercept, you need to see where the line intersects the y-axis, the vertical line with numbers on it. The line intersects the y-axis at (1, 0). Therefore, the y-intercept is (1, 0).
There are two ways to find the slope. The easiest one in my opinion is rise over run, but you can also use an equation too. I am going to be showing you the rise/run method, but you can also ask if you want the equation method as well. First of all, the line goes to the left, not the right, so we know that the slope is going to be negative. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). All you need to do is calculate the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). I am going to choose point (1, 0) if I go up by 2 and over by 4, I'll get to the point (-4, 3) that also lands on the line. 2/4 is 1/2. Therefore, the slope is -1/2.
I hope this helps! Let me know if I got something wrong.
If you can graph a function, you can graph piecewise functions. Each one of them is a different line or curve within the domain for that specific line of curve. If the domain states it's less than or greater than a number, you circle that point on the line. If the domain states it's also possibly equal to the point at the beginning or the end, you make a closed dot.
I"m sure that's clear as mud, please respond with any additional questions.
Answer:
The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.
Step-by-step explanation:
Volume = πr²(h/3) = ?
Height = <em>15 inches</em> (from the diagram)
Find r
since we are given the circumference of the base circle = 8.5π inches => 2πr
∴ 8.5π inches = 2πr
( 8.5π / 2π ) inches = r
<em>4.25 inches</em> = (r) Radius
Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.
Volume = πr²(h/3)
= π * (4.25 inches)² * (15 inches / 3)
= π * 18.0625 inches² * 5 inches
Volume = 90.3125π inches³
Rounding to the nearest hundredth ≅ 90.31π inches³
Answer:
9.5 lbs
Step-by-step explanation:
To find the total package weight, add up the weights of the packages, or use the shortcut to repeated addition that is called multiplication.
... 1.9 + 1.9 + 1.9 + 1.9 + 1.9 = 5×1.9 = 9.5 . . . pounds