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1 year ago

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4? 7ab3 6a4b 42a5b4 77a8b7

Mathematics

2 answers:

lbvjy [14]1 year ago

3 0

The correct answer is:

7ab³

Explanation:

The greatest common factor is the largest thing that each term is divisible by.

The coefficients of our terms are 42, 35 and 42. Using the prime factorization for each,

42 = 6*7

6 = 2*3

42 = 2*3*7

35 = 5*7

The greatest common factor is 7.

For the variables, each term has at least a¹ and at least b³. This means that ab³ is part of the GCF; this gives us a GCF of 7ab³.

gogolik [260]1 year ago

3 0

Answer:

7ab^3

Step-by-step explanation:

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2 years ago

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What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? (–13,

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I added a screenshot of the complete question.

Answer:

(-7, -1)

Explanation:

The formulas given to calculated the x and y coordinates are as follows:

$x = (\frac{m}{m+n})(x_{2}-x_{1}) + x_{1}\\\\y = (\frac{m}{m+n})(y_{2}-y_{1}) + y_{1}$

Let's define the variables used:

(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.

We are given that the segment is directed from J to K, therefore:

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Second point is K ....> (x₂ , y₂) is (25, 15)

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m = 1 and n = 4

Finally, let's substitute with these variables in the equations as follows:

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Based on the above, the coordinates of point E are (-7, -1)

Hope this helps :)

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2 years ago

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In an athletics team, tall members are three times more likely to win a medal than short members. this year the team has won 60

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Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:
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it says that tall people are 3.times more likely. this would mean they won three times more than short people. so
z = 3x.

so if we know what z equals, we can replace z with what it is equal to. so:
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we know that 60 medals were won so
y = 4x
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1 year ago

Problem

Fiesta28 [93]

Answer:

do you have a photo of the figure?

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The total number of degrees, D, in an n-sided polygon is given by the formula D=180(n-2). When Janelle solves for n, she gets n=

Rus_ich [418]

D = 180 * (n -2)
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Source:
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