∆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, .

1) is right

step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10