Answer:
For statement , the reason is Definition of slope.
and for statement , the reason is Triangle A is similar to triangle B.
Step-by-step explanation:
If slope of triangles are equal than Triangle A is similar to triangle B.
so, in statement when we simplify
we get
then the reason for this statement is "If slope of triangles are equal"
And the definition of slope in general is
so, for the statement , the reason is Definition of slope.
Answer:
Step-by-step explanation:
we have : lines 2 x + 4 y = 0 and 2 x + y = 10
Let ,
2 x + 4 y = 0............. (1)
2 x + y = 10...............(2)
solve these equations for x and y
Now subtract (2) from (1) ,we get
3y=-10
⇒y =
Put the value of y in (1) , we get
2x+4() = 0
⇒2x=
⇒x=
∴ Point of intersection is .
Hence,the x-coordinate of that point is .
Answer:
Step-by-step explanation:
The problem as stated asks for the limit as x approaches 2 of (0/x) -2.
As written, the limit is (0/2) -2 = -2.
<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/x -2 is defined as -2 everywhere except x=0. So, the value at x=2 is 0/2 -2 = -2.
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If you mean (f(2) -f(x))/(x -2), that limit is the limit of 0/(x-2) = 0 as x approaches 2.
<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/(x-2) is zero everywhere except at x=2. The left limit and right limit are both 0 as x approaches 2. Since these limits agree, the limit is said to be 0.
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If you mean f(x) = ln(x) and you want the limit of (f(2) -f(x))/(x -2), that value will be -1/2.
<u>Explanation</u>: The value of the ratio is 0/0 at x=2, so we can find the limit using L'Hôpital's rule. Differentiating numerator and denominator, we have ...
lim = (-1/x)/(1)
The value is -1/2 at x=2.
