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3 years ago

which of the following lengths cannot be the lengths of a triangle? 4,6,9 a.) 3,4,2 b.) 2,2,3 c.) 1,1,2 d.)

Mathematics

1 answer:

tamaranim1 [39]3 years ago

6 0

Answer:

D. 1, 1, 2

Step-by-step explanation:

A triangles sides have to have the two smallest side's sum add up to be greater than the largest number. In D, 1+1 = 2, and 2 is the largest number, since 2 is not greater than 2, It cannot be a triangle.

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The point (3, 6) is on the graph of y= 5f(2(x+3))-4 . Find the original point on the graph of y=f(x).

Sonja [21]

Answer:

(12, 2) is the original point on the graph of $y=f(x)$ .

Step-by-step explanation:

Given:

$y= 5f(2(x+3))-4$ has a point (3, 6) on its graph.

To find:

Original point on graph $y=f(x)$ = ?.

Solution:

We are given that The point (3, 6) is on the graph of $y= 5f(2(x+3))-4$

If we put x = 3 and y = 6 in $y= 5f(2(x+3))-4$ , it will satisfy the equation.

Let us the put the values and observe:

$6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)$

Now, let us compare the above with the following:

$y=f(x)$

we get y = 2 and x = 12

So, the original point on graph of $y=f(x)$ is (12, 2).

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Answer:

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