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NeTakaya
3 years ago
8

Factor. 3n^4+21n^3+27n^2 Enter your answer in the box.

Mathematics
1 answer:
asambeis [7]3 years ago
5 0
Factor the following:
3 n^4 + 21 n^3 + 27 n^2

Factor 3 n^2 out of 3 n^4 + 21 n^3 + 27 n^2:

Answer: 3 n^2 (n^2 + 7 n + 9)
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If f(x)=2x²-x find f(-3)
ivolga24 [154]

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 - x

f(-3) = 2*(-3)^2 - (-3)

=2*9 +3

=18 +3

=21

3 0
3 years ago
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What’s the answer to this thank u for ur help:)
goldfiish [28.3K]

Answer:

b. DAC≅DBC

Step-by-step explanation:

∠DCB≅∠DCA=90° as they are right angles at the perpendicular lines

DC=DC reflexive property(they are the same line)

AC=CB they are both the radius of the same circle

DAC≅DBC   due to SAS(Side angle Side)

6 0
3 years ago
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There are three consecutive even integers. If twice the first integer added to the second is 268,244, find all three integers.
r-ruslan [8.4K]

Answer:

89414,89416,89418

Step-by-step explanation:

Let n bet the positive integer and then 2n is an even integer because multiplying n with 2 makes it an even integer.

Now, 2n+2, 2n+4 are the next integers.

Therefore, three consecutive integers are: 2n, 2n+2, 2n+4.

It is given that twice the first integer added to the second is 268,244 that means:

2(2n)+(2n+2)=268244

4n+2n+2=268244

6n=268242

n=44707

Therefore, three consecutive integers are:

2n=89414, 2n+2=89416, 2n+4=89418

8 0
3 years ago
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radiu
PtichkaEL [24]

Answer:

1.2 cm

Step-by-step explanation:

The area of sircumscribed quadrilateral over a circle is equal to

A=s\cdot r,

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.

Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.  

So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

s=\dfrac{20}{2}=10\ cm

Now,

A=s\cdot r\\ \\12=10r\\ \\r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
The distance from the Earth to the Sun is approximately 90,000,000 miles, which can be written as 9 × 10a miles, where a = . The
andrey2020 [161]

10*a = 10000000

a = 1000000, one million

5*10*b = 500000000

b = 10000000, ten million

About ten times.

7 0
4 years ago
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