What is the gcf of 60 and 72

1 answer:

4 0

       60             72
       /\                /\
     10x6           9x8
     /\     /\          /\    /\
2x5 2x3      3x3    2x4                  60 GCF= 2
                                    /\                  72 GCF = 2
                                    2x2

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Factor. 3x(y−4)−2(y−4) Enter your answer in the box.

NISA [10]

Answer: Use the distributive property to multiply 3 by y−4.

3y−12−2(y−4)

Use the distributive property to multiply −2 by y−4.

3y−12−2y+8

Combine 3y and −2y to get y.

y−12+8

Add −12 and 8 to get −4.

Anwser:

y−4

Step-by-step explanation:

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6 0

3 years ago

A guy wire supports an antenna tower, as shown at the right. The bottom of the wire is secured in the ground 30 feet from the ba

babunello [35]

Answer:

The wire is approximately 42feet long

Step-by-step explanation:

We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.

The hypotenuse side is the length of the wire we are looking for.

Parameters are given as:

Opposite : 30ft

Adjacent: 30ft

Hypotenuse: x feet

The hypotenuse = $\sqrt{opp^2 + adj^2}$