Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercept form of the equation of a line is:
y = mx + b
where m is the slope, and b is the y-intercept.
First, we find the slope of the line using the two given points.
m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3
Now we plug in the slope we found into the equation above.
y = -3x + b
We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.
y = -3x + b
-7 = -3(2) + b
-7 = -6 + b
Add 6 to both sides.
-1 = b
Now we plug in -1 for b.
y = -3x - 1
ANSWER
(2,2)
EXPLANATION
Since f(x) and its inverse function are symmetric about the line y=x, if (a,b) lies on the graph of f, then (b,a) must lie on f inverse.
The point (2,2) lies on f and the same time on f inverse.
The solution is a point that satisfies both equations.
Hence the correct choice is:
(2,2)
Answer: my bad 324,000 isnt the answer. Its 325,000
Step-by-step explanation:
Answer:
7.06 x 10^(-7) ft 3
Step-by-step explanation:
We have the formula to calculate the volume of an octagonal Pyraamid as following:
<em>+) Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
As given, the base of the pyramid is an octagon with area equal to 15mm2
=> Area of the base = 15 mm2
The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.
=> Height = 4mm
So we have:
<em>Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
<em>= 1/3 * 15 * 4 = 20 mm3</em>
<em />
As: 1 mm3 = 3.53 x 10^(-8) ft 3
=> 20 mm3 = 7.06x10^(-7) ft 3
So the volume of the pyramid is : 7.06 x 10^(-7) ft 3
angles x y z are all acute because they are less than 90 degrees
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