x= -35/11
1) distribute, -9x -63x = 13x+7
2) put like terms on the same side of parentheses, -9x -13x= 7+63
3) combine like terms, -22x = 70
4) solve for x, x= -70/22
5) simplify, x= -35/11
Answer: 1. 10
2. an = an - 1 + 7 where a1 = -10
Step-by-step explanation:
VK = VY+YK by the segment addition postulate. Basically adding two segments along a straight line forms a longer segment. In this case, VY and YK combine to form VK
Since VK = x and VY = 22, this means...
VK = VY+YK
x = 22+YK
x-22 = YK
YK = x-22
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Notice the arc marks where the point T is located. These markings tell us that the two angles VTY and YTK are congruent angles. Because of this, we can use the angle bisector theorem which says that the ratio of the corresponding sides are congruent.
In short, we can form this ratio
VT/VY = KT/KY
which is the ratio of the side adjacent to the angle, to the side opposite the angle
Plug in the given values and solve for x
VT/VY = KT/KY
77/22 = 87.5/(x-22)
77(x-22) = 22*87.5
77(x-22) = 1925
77x-77*22 = 1925
77x-1694 = 1925
77x = 1925+1694
77x = 3619
x = 3619/77
x = 47
Answer: 47
Answer: a) Explicit formula :
b) Recursive formula : and 
Step-by-step explanation:
Since we have given that
Number of grams of yeast in a culture dish initially = 9 grams
According to question, a certain culture of year increases by 50 % every three hours.
So, the explicit formula will be
And the recursive formula will be
Hence, a) Explicit formula :
b) Recursive formula : and
Answer: 10
Step-by-step explanation:
If the long side of the fence is 20 the other side is 20 which means if the short side is 10 the other would be 10 making the total to 60 meters.
