∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The length of side AC is units. ∠ABC ≈ °.

The length of side AB is units.

The length of side BC is units.

The length of side AC is units.

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Step-by-step explanation:

Given : ∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.

To find : The length of side AB is units. The length of side BC is units. The length of side AC is units. ∠ABC ≈ ° ?

Solution :

The distance formula between two point is given by,

The distance between A(-3, 6) and B(2, 1) is

The distance between B(2, 1), and C(9, 5) is

The distance between C(9, 5) and A(-3, 6) is

By the Law of Cosines,

Substitute the values,

Therefore, .

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..