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deff fn [24]
3 years ago
13

What is the image of G for a dilation with center (0,0) and a scale factor of 1?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
7 0
When the dilation scale factor is 1, the image is the same as the original, G.
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Dakota read 130 pages over the weekend. Dajuan read 165 pages over the weekend. Which prime number do the prime factorization of
Amanda [17]

In order to find the common prime factors of 130 and 165, let us first find prime factors of 130 and 165 individually and then we can compare.

Prime factors of 130 can be found as:

130 is a composite number because it has factors other than 1 and itself.

It is not a prime number. The 8 factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. The factor pairs of 130 are 1 x 130, 2 x 65, 5 x 26, and 10 x 13.

The proper factors of 130 are 1, 2, 5, 10, 13, 26, and 65.

The prime factors of 130 are 2, 5, and 13.

Prime factors of 165 can be found as:

165 is a composite number because it has factors other than 1 and itself. It is not a prime number.

The 8 factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. The factor pairs of 165 are 1 x 165, 3 x 55, 5 x 33, and 11 x 15.

The proper factors of 165 are 1, 3, 5, 11, 15, 33, and 55.

The prime factors of 165 are 3, 5, and 11.

Answer: On comparing the two, we can see that 5 is the common prime factor of both 130 and 165.

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Jacques built a house that measured 75 feet long by 30 feet wide.
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The area is 2250 square feet.
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If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?
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In case you're not already aware, the expression \frac{f(x+h)-f(x)}h is called the "difference quotient" and represents the average rate of change of a function f over an interval [x,x+h].

For the function f(x)=x^2+3x+4, by substituting x+h we get

f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2

Then the difference quotient is

\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h

=\dfrac{(2x+3)h+h^2}h=2x+3+h

where the last equality holds as long as h\neq0.

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D) because only 4 is the common factor in the equation.
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