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Sati [7]
3 years ago
14

The scale on a map is 1 cm:30 km. How many centimeters would be used to represent 45 kilometers?

Mathematics
1 answer:
topjm [15]3 years ago
7 0
Hi there!

To solve this problem, let's set up a proportion: 1/30 = x/45. Now, cross-multiply to get an equation: 30x = 45. Now, divide each side by 30 to figure out how many centimeters would be used to represent 45 kilometers: x = 2/3 or 0.666 cm.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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If a polynomial function f(x)has root -2 + square root 8 and 9 what must be a factor of f(x)
Rasek [7]

Answer:

(x+2-\sqrt{9}) , (x-2+\sqrt{9}) ,(x-9)

Step-by-step explanation:

Given that f(x) is a polynomial function.

This implies that f(x) has x terms of positive integral degrees and also rational coefficients only.

Since an irrational root is given a root of f(x), we find that its conjugate also should be a root of f(x)

i.e. If -2+\sqrt{8} is a root, then -2-\sqrt{8} is also a root.

(Because this only when multiplied will make coefficients rational)

So the factors of f(x) should be atleast

(x+2-\sqrt{9}) , (x-2+\sqrt{9}) ,(x-9)

There can be other factors also but this is compulsory

7 0
3 years ago
12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band? |​
jek_recluse [69]

Answer:36

becuse if you maltiply 15 by 3 it makes 45 and you can maltiply 12 by 3 and you will get your answer

3 0
3 years ago
6x^2-4xy-15xy+10y^2 factor by grouping
PtichkaEL [24]
4 answers · Mathematics
Best Answer
We will need to split the middle term and use the grouping method. To do this multiply the coefficient of the first term (6) against the coefficient of the last term (10):

6 * 10 = 60
Factors of 60 = +-(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60)

From the list of factors find two numbers that when added together give -19 and when multiplied together give 60. -15 and -4 added together give -19 and multiplied together give 60 so split the middle term by rewriting these values back into the expression:

6x^2 - 15xy - 4xy + 10y^2

Now use the grouping method, take out the highest common factor between the two sets of terms:

3x(2x - 5y) - 2y(2x - 5y)

Group the outside terms:

(3x - 2y)(2x - 5y)


Answers
6 = -3*-2
10 = 5*2
5*3+2*2=19
thus
(2y-3x)(5y-2x)
8 0
3 years ago
Which conditional has a true converse? Select all that apply
Andrej [43]
The answer is b I hope this helps
3 0
3 years ago
Paul's dad made a turkey pot pie for dinner on Wednesday the family ate 4/8 of the pie. on Thursday after school,Paul ate 2/16 o
Drupady [299]
You would add the 2 fractions. Since 2/16 equals 1/8 you could add 1/8 plus 4/8. That will give you 5/8. After all that you subtract 5/8 from 8/8, which will give you 3/8.

3 0
3 years ago
Read 2 more answers
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