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3 years ago

What is the gcf of 42 and,72

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

5 0

The greatest common factor of 42 and 72 is 6.

6 times 7 is 42. 6 times 12 is 72. There is no greater factor for both numbers except for 6.

Hope this helps!

mel-nik [20]3 years ago

3 0

Consider the factors of both numbers

factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

common factors are 1, 2, 3, 6

the gcf = 6

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34kurt

Answer:

$36i^{2}+48i+16$

Step-by-step explanation:

$(4+6i)^{2}$ is essentially $(4+6i)(4+6i)$ (you are squaring $(4+6i)$ , so multiplying it by itself), so to simplify, you would need to distribute.

A good way to go about this is using the F.O.I.L. method, multiplying the First numbers in the parentheses, then the Outers, then Inners, and finally, Lasts.

$(4+6i)(4+6i)$ >> $(4+6i)(4+6i)$ >> $(4+6i)(4+6i)$ >> $(4+6i)(4+6i)$

( $(4*4)+(4*6i)+(6i*4)(6i*6i)$ )

After doing so, you would end up with $16+24i+24i+36i^{2}$ , and after combining like terms, $16+48i+36i^{2}$ .

To write the expression in standard form, though, just order the terms from highest to lowest power!

5 0

3 years ago

What are the vertex, axis of symmetry, maximum or minimum value, and range of y = 3x2 + 6x − 1?

Basile [38]

Answer: 29

Step-by-step explanation: You have 3+2 that = 5 then you get that 5 and x that by 6 that = 30 then you - 30 from 1 then you have 29

6 0

3 years ago

If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m

nlexa [21]

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

$2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17$

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

$\angle1=2(17)+6\\\angle1=34+6\\\angle1=40$

So, the actual measure of ∠1 = 40°

8 0

3 years ago

Select True or False for each statement.

ludmilkaskok [199]

One is false, two is true. Hope I helped

5 0

4 years ago

The domain is the set of all values a function will accept as _____.

Marina86 [1]

Answer:

... inputs.

Step-by-step explanation:

A function is a map of inputs to outputs. The domain of a function is the set of <em>inputs</em> for which outputs are defined.

8 0

3 years ago