I'm confused on how to do this question
1 answer:
Answer:
CE = 35
Step-by-step explanation:
Based on the Triangle Proportionality Theorem, BD divides AC and CE proportionally. This implies that:
BC:AB = DC:DE
Plug in the values
(x - 5)/6 = 14/(2x + 3)
(x - 5)(2x + 3) = 14*6
x(2x + 3) -5(2x + 3) = 84
2x² + 3x - 10x - 15 = 84
2x² - 7x - 15 - 84 = 0
2x² - 7x - 99 = 0
Factorize
2x² - 18x + 11x - 99 = 0
2x(x - 9) +11(x - 9) = 0
(2x + 11)(x - 9) = 0
2x = -11
x = -11/2
Or
x = 9
Let's take the positive value of x
Thus:
CE = 14 + 2x + 3
Plug in the value of x
CE = 14 + 2(9) + 3
CE = 14 + 18 + 3
CE = 35
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Answer:
|2x - 5| = 4
Solve for the negative and positive expressions:
2x - 5 = 4
2x = 9
x = 9/2
------------
-(2x - 5) = 4
-2x + 5 = 4
-2x = -1
x = 1/2.
Therefore, the solutions are x = 1/2 and 9/2.
Answer:
Given,
f(x)=x^2+6
g(x)=2x-1
Now,
g[f(x)]=g(x^2+6) since f(x)=x^2+6
=2(x^2+6)-1 since x > x^2+6
=2x^2+12-1
=2x^2+11
