Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Answer:
D. x = log8 24
Step-by-step explanation:
we have this function
8^x = 24
Now we have to understand how the logarithm works.
we use the logarithm to know how much we have to raise a number to reach a result that we already know.
these two equations represent the same
a ^ b = c
log a c = b
8^x = 24
8 = a
x = b
c = 24
log a c = b
log 8 24 = x
option d.
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Answer:
3k
Step-by-step explanation:
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Let x = number of students in each of the remaining rows
266 = (10 x 20) + (5 x 8) + 2x
266 - (10 x 20) - (5 x 8) = 2x
266 - 200 - 40 = 2x
26 = 2x
x = 26/2
x = 13
