Answer:
AB = 5
Step-by-step explanation:
Since the triangle is isosceles then the legs are congruent, that is
BC = BA, substitute values
5x - 10 = 3x - 4 ( subtract 3x from both sides )
2x - 10 = - 4 ( add 10 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
AB = 3x - 4 = 3(3) - 4 = 9 - 4 = 5
−15.82x + 20.042
calculated it
We are given with two functions here: h(x) is 5^-x and g(x) is 5^x . we are asked in the problem to determine the value of the expression (g-h)(x). In this case, we just have to employ subtraction to the given functions. That is
(g-h)(x) = 5^x - 5^-x
= 5^x -1/5^x
= (5^2x -1)/5^x
Answer:
2.) 2703
4.) 9
Step-by-step explanation:
2.)
5327 - 2624 = ?
We subtract from left to right to get;
(7 - 4 = 3) then (2 - 2 = 0) then carrying 1 from 5, (13 - 6 = 7) and (4 - 2 = 2)
So writing the answer;
2 then 7 then 0 then 3
i.e Answer = 2703
4.)
648 ÷ 72 = ?
72 × 10 = 720
So we must multiply 72 by a number less than 10 since 720 > 648
We should look for a number such that 2 in 72 times the number should give an answer with 8 in the end.
Such a number can be 9;
Manually multiplying 72 and 9 we get 648 and we are right!
Answer:
D
Step-by-step explanation:
log₂(x-4) = 4
Undo the log by raising 2 to both sides:
2^(log₂(x-4)) = 2^4
x - 4 = 2^4
x - 4 = 16
x = 20
Answer D.
