Answer:
7/1000
Step-by-step explanation:
Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area
Base perimeter = 4 * 18 = 72 inches
Base Area = 18*18 = 324 square inches
Pyramid Surface Area = (.5 * 72 * 12) + 324
Pyramid Surface Area = 432 + 324
Pyramid Surface Area = 756 square inches
Source:
http://www.1728.org/volpyrmd.htm
Problem # 1
Not Factored: (5x^2 - 13x - 6)
Factored: (5x + 2 )(x - 3)
There is no real "work" to be shown for this, you can see that
1) Seperating 5x^2 into 5x and x will get you the equation in the form:
(5x ) (x ) = 5x^2 +
2) To complete this factor you need to guess which two numbers will add together to give you - 13x and multiply to form -6 (from the original unfactored equation). The numbers that will do this are 2 and 3
3) You can plug in negative or positives of those numbers to make sure they give you the exact results you need.
For example testing -2 and 3 you will get: (5x - 2) (x + 3 ) = 5(x^2) - 2x + 15x - 6 = 5x^2 +13x - 6. This is NOT the same as the unfactored equation. So you know -2 and 3 is the wrong choice. Choosing 2 and -3 will give you the answer instead.
As i said, there's no actual "work" to show this, you have to make guesses and try to factor it.
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Problem # 2
Not Factored: 4x^4 - 28x^3 + 48x^2
Factored: 4x^2 (x^2 - 7x + 12) =
4x^2 (x - 3) (x - 4)
To solve this, you factor out the 4x^2 from the entire equation. Then you can further factor the quadratic equation by seperating x^2 into (x )(x ) and guessing for which numbers will add to -7x and multiply to 12
Answer:
Reflection across the x-axis followed by dilation by a scale factor of 
with the center of dilation at the origin
Step-by-step explanation:
Rectangle EFGD has vertices at points E(-6,8), F(0,8), G(0,1) and D(-6,1).
1 transformation - reflection across the x-axis with the rule
So, the image rectangle E''F''G''D'' has vertices with coordinates
2 transformation - dilation by a scale factor of with the center of dilation at the origin. This transformation has the rule
Thus,
These are exactly vertices of rectangle E'F'G'D'.
