the answer would be ...
f(x) = -5/2x + 4
We know this because the constant in this equation, 4, is the y-intercept!
This means that the number without the variable is <u>where the line intersects the y-axis. </u>
Additionally, the slope is called the "rise over run", but in this case it is negative. At the point, 4, on the y-axis,<u> we go down 5 units (the numerator of the slope) and to the right by 2 units (the denominator). </u>
We find ourselves at where the line intercepts the x-axis!
I hope my explanation isn't confusing and that it is helpful! If you have any questions or concerns, message me! :)
Point form: (1,-1)
equation form: x = 1, y = -1
Answer:
The length of line segment AB is 9 units.
Step-by-step explanation:
To find this, you count how many squares there are between the two points. Hope I helped.
Larger PyramidHeight 24 Volume 648
Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27
Slant Height^2 = 4.5^2 + 24^2Slant Height^2 =
<span>
<span>
596.25
</span>
</span>
<span><span>Slant Height^2 = 24.4182308941
</span>
</span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area =
<span>
<span>
520.5281560938
</span>
</span>
<span>Large Pyramid LATERAL Area =<span> 439.5281560938
</span>
</span>
**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters
d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27
Source : http://www.1728.org/volpyrmd.htm
Answer:
14%
Step-by-step explanation:
A way I usually do it is with a fraction setup.
280/2000 = ?/100
multiply 280 by 100, and you get 28000. divide this by 2000, and you get 14!
