When lines cross each other in a triangle from a point to the mid point of the opposite side as shown, AV is 2 times as long as VF
To solve for X we would have AV = 2*VF
The equation becomes:
3x+6 = 2(x+6)
Now we solve for X
3x+6 = 2(x+6)
Distribute the 2 on the right side:
3x + 6 = 2x +12
Subtract 2x from each side:
X +6 = 12
Subtract 6 from each side:
x = 6
Now if you needed to solve the length of AV or VF, you replace x with 6 and solve.
Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
The triangle G'H'I' is congruent to MNO because they have two angles and the included side equal, therefore, the congruence criteria is ASA.
Answer: ASA
It takes them 12 seconds to eat the whole sausage.
<h3>What is speed?</h3>
Speed is the rate of change of distance.
Analysis:
If kitten eats x cm, then puppy will eat 14 - x cm
speed = d/t
speed of kitten = 1/2
speed of puppy = 2/3
1/2 = x/t
2/3 = 14 - x / t
t = 2x--------1
2t = 3(14 - x ) -------- 2
substitute t in equation 2
2(2x) = 3(14 - x)
4x = 42 - 3x
7x = 42
x = 42/7 = 6cm
substitute value of x in equation 1
t = 2(60 = 12 seconds.
In conclusion, it takes the both animals 12 seconds to finish the sausage.
Learn more about speed: brainly.com/question/4931057
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