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tester [92]
3 years ago
9

Check whether x² +4x +4 is prefect spuare expression or not . if so factorise the expression​

Mathematics
1 answer:
irinina [24]3 years ago
7 0

Answer:

It is a perfect square expression.

It factors to (x+2)^2

===========================================================

Explanation:

The general format for a perfect square is

(a+b)^2 = a^2 + 2ab + b^2

Which can be seen through the use of the FOIL rule.

Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:

  • x^2 = a^2 .... first terms
  • 4x = 2ab .... middle terms
  • 4 = b^2 .... last terms

Since x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.

Because a = x and b = 2, we then can say:

(a+b)^2 = a^2 + 2ab + b^2

(x+2)^2 = x^2 + 2*x*2 + 2^2

(x+2)^2 = x^2 + 4x + 4

Showing that x^2+4x+4 factors to (x+2)^2.

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Brian spins a fair spinner numbered 1 - 5 and flips a fair coin.
Greeley [361]

Answer:  0.1

Step-by-step explanation:

If we spin a fair spinner numbered 1 - 5 and flips a fair coin.

Then, the possible outcomes will be :-

(1,T),(2,T), (3,T), (4,T), (5,T)\\\\(1,H),(2,H), (3,H), (4,H), (5,H)

i.e. total 10 possible outcomes.

The favorable outcomes = a 2 and a head  i.e. only 1 .

Now, the probability of obtaining a 2 and a head will be :_

\dfrac{\text{Number of favorable outcome}}{\text{Total outcomes}}\\\\=\dfrac{1}{10}=0.1

Hence, the  probability of obtaining a 2 and a head = 0.1

7 0
3 years ago
Ammar is constructing an angle congruent to ∠MNP . With his straightedge, he draws and labels DE−→− . He places the compass poin
Svetlanka [38]

Ammar's next step is point C

<h3>Further explanation </h3>

Angles can be formed from two ray lines that have the same starting point

Commonly used terms include foot angle, corner point, and angle size

The magnitude of the angle is usually expressed in degrees

Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters

There are several steps used to copy the MNP angle:

1. Draw the DE line

2.Places the compass point on point N and draws an arc that intersects NM (point Q) and NP (Point R)

3.Without changing the compass opening, put the compass point on point D and draw a long arc that intersects DE (point F)

4. Open the compass so that the compass point is on point Q and the pencil point is on point R. Then put the compass point on point F and draw an arc (intersect with the arc in step 3, and at this point we name it G)

5. Draw a line from point D to point G

Then the MNP is congruent to the EDG

<h3>Learn more </h3>

ABC copying angle

brainly.com/question/13096001

Keywords: angle, copying, compass, arc

  #LearnWithBrainly

6 0
3 years ago
During the exponential phase, E. coli bacteria in a culture increase in number at a rate proportional to the current population.
NikAS [45]

Answer:

  197.2 million

Step-by-step explanation:

The appropriate exponential equation for the population is ...

  p(t) = 172.0e^(0.019t)

Then we can compute for t=7.2:

  p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2

7.2 minutes from now, the population will be about 197.2 million.

___

For continuous growth (or continuous compounding), the exponential formula is ...

  f(t) = (value at t=0)×e^(rt)

where r is the growth rate in one unit of time, and t is the number of time periods.

8 0
3 years ago
How to find the base of a triangle if your height is 6 inches.
AnnyKZ [126]

Answer:

Use this to find your answer.

Step-by-step explanation:

Triangle Area = 1/2 x Base Length x Height Example: The area of a triangle with a base length of 5 inches and height of 6 inches is:

5 0
2 years ago
Read 2 more answers
Equivalent expressions of z+(z+6)
Gennadij [26K]

Answer:

2z+6 or 2(z+3) are the equivalent expressions

Step-by-step explanation:

z+(z+6)

opening the brackets

z+z+6

=2z+6

or if we take 2 as common the answer is

=2(z+3)

i hope this will help you :)

3 0
3 years ago
Read 2 more answers
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