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Rudiy27
3 years ago
12

Wolfgang wants to enlarge a picture he developed. Which factor listed below would scale up (enlarge) his picture the most if he

used it to multiply its current dimensions? 7/8 14/14 1 4/9 3/2
Mathematics
1 answer:
kirza4 [7]3 years ago
4 0
You want the largest number here. Both 14/9 and 3/2 are greater than one, so the other options can be eliminated. You can either convert to decimals, or put them over a common denominator.
For decimals, divide 14 by 9 to get 1.556. Then divide 3 by 2 to get 1.5.
If you want to stay in fractions, put them over a common denominator (18 in this case). 14*2->28/18. 3*9->27/18. In both cases, 14/9 is greater so you know your math is correct. 14/9 is the answer.
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En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál e
Mandarinka [93]

Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

8 0
3 years ago
WILL GIVE BRAINLIST do i do 10-x=2?​
Viktor [21]

Answer:

x = 4

Step-by-step explanation:

DE is parallel to AC and intersects the other 2 sides. It divides those sides proportionally, that is

\frac{BD}{DA} = \frac{BE}{EC}, thus

\frac{10-x}{x} = \frac{3}{2} ( cross- multiply )

2(10 - x) = 3x ← distribute left side

20 - 2x = 3x ( subtract 3x from both sides )

20 - 5x = 0  ( subtract 20 from both sides )

- 5x = - 20 ( divide both sides by - 5 )

x = 4

8 0
3 years ago
Find the missing segment.
Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

\frac{9}{9+3} =\frac{21}{21 + ?}

\frac{9}{12} =\frac{21}{? + 21}

\frac{3}{4} =\frac{21}{? + 21}

\frac{1}{4} =\frac{7}{? + 21}

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

3 0
3 years ago
Find the perimeter I will give brainliest if you are correct
solong [7]

Answer:55 :o

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Figure out the two- step equation please i NEED HELLLP! <br> -5c - 15 = -35
mariarad [96]

Answer:

c=4

Step-by-step explanation:

-5c - 15 = -35

Add 15 to each side

-5c - 15+15 = -35+15

-5c = -20

Divide each side by -5

-5c/-5 = -20/-5

c = 4

8 0
3 years ago
Read 2 more answers
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