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The first digit can be any one of the numbers 2-9 That a total of 8 numbers.
The next 6 digits can be any permutation of 6 from the numbers 0 to 9.
(10 numbers)
nPr = n! / r!
so here we have 10P6 = 10! / 6! = 10*9*8*7 = 5040
So final answer is 8 * 5040 = 40,320
Answer:
The quadratic equation is X^2 -26X +144=0
Step-by-step explanation:
You can do it shortly by using the formula
X^2-(sum)x+ product
which will give you
X^2- (8+18)x+8×18
=X^2 -26x +144
=X^2 -8x-18x + 144
=(X^2-8x)(-18x+144)
=X(X-8)-18(x-8)=0
(X-18)(X-8)=0
X-18=0 And X-8=0
X=18 X=8
. Therefore the quadratic equation is X^2 -26X +144
Answer:
160
Step-by-step explanation:
6.4 = 0.04x
6.4 / .04 = 160
When you find the area, you want to break it up into different parts. Therefore, one part would be a square and the other part can be a trapezoid. Start out with finding the area of a square by multiplying 6 and 6. This will get you 36. Then, subtract 6 from 21. This will get you, 15. Then use the area of a trapezoid formula, which is A=(a+b)/2 times H. The H is the heigh, the a and b are the top and bottom bases. So if you plug it into the equation, (7+15)/2 then multiply that by 6 ( which is the height). this will get you 66. If you add 66+36, it equals 102 which is the area
