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Triss [41]
2 years ago
11

Factor 4x^2-9a^4. And check whether it is factorable. The answer options:( 2x-3a^2)^2 or prime or ( 2x +3a^2) (2x - 3a^2 ) or no

ne of these
Mathematics
1 answer:
ahrayia [7]2 years ago
5 0

Given

4x^2-9a^4

To factorize.

Explanation:

It is given that,

4x^2-9a^4

That implies,

\begin{gathered} 4x^2-9a^4=(2x)^2-(3a^2)^2 \\ =(2x-3a^2)(2x+3a^2) \end{gathered}

Hence, the answer is (2x +3a²)(2x - 3a²).

You might be interested in
Five siblings have a combined age of 195 years. The oldest is 13 years older than the youngest Marc the middle child Anne is fiv
lidiya [134]
This is what someone else answered when someone else asked it. I can't explain it better than this.





So five sibbllings ages are repressented as
a,b,c,d,e
let's have a as youngest and e as oldest in that order
total ages are 195 so
a+b+c+d+e=195
oldest is 13 older thatn youngest
e=13+a
middle child anne (c) is 5 years younger than josie who is an unknow position, we know that she could be d or e or oldest or second oldest
the other 2 are 6 years appart
b and d ar e 6 years appart or b and e are 6 years apart? or is josie the oldest, or second oldest?

second oldes is 42 so
d=42

2 scenarios
if josie is oldest, then see AAAA and if josie is second oldest then see BBBB

AAAA
josie is 13 years older than mark
e=13+a
anne is 5 less than josie
c=e-5
the other 2 are 6 years apart
b+6=d
d=42
subsitute and get
b=36
add and get
78+a+c+e=195
a+c+e=117
e-13+e-5+e=117
3e-18=117
add 18 to both sides
3e=135
divided both sides by 3
e=45
subsitute
a=32
b=36
c=40
d=42
e=45


BBBB
oldest is 13 older than youngest
e=13+a
middle is 5 younger than josie (d)
c=d-5
the other 2 are 6 apart
b=e-6
d=42
subsitute
c=37
subsitute
a+b+37+42+e=195
a+b+e+79=195
subtract 79 from both sides
a+b+e=116
subsitute
e-13+e-6+e=116
3e-19=116
add 19 to both sides
3e=135
divide both sides by 3
e=45
subsitute
45-6=39=b
45-13=32=a
c=42-5=37
this is wrong because b cannot be older than c so therefor AAA si the correct answer


THE ANSWER IS
Josie is the oldest=45
Unknown is second oldest=42
Anne is middle=40
Unknown2 is second youngest=36
Mark is the youngest=32
5 0
3 years ago
What is a symmetric matrix?
horsena [70]

Answer:

symmetric matrix is the square matrix and it is equal to its transpose

Step-by-step explanation:

solution

a symmetric matrix is the square matrix and it is equal to its transpose

As A is symmetric matrix  then

A = A^{T}

here only square matrices will be symmetric

and matrix A is symmetric its mean its matrices have equal dimension

and every square diagonal matrix is also symmetric when all off diagonals element is zero

symmetric matrix for all indices i and j

A = aij = aji

7 0
4 years ago
Which of the following represents the set in words?
jekas [21]

Answer:

It's actually: None of these.

Think about it: In this case we have an inequality, of x ≤ 0.

This basically means, that x can be less than OR equal to 0.

But 0 is neither negative or positive, so we can eliminate the following answer choices:

- all positive integers

- all negative real numbers

- all positive real numbers

- all negative integers

And we are left with "None of these"

Let me know if this helps!

3 0
3 years ago
How many 3-digit even numbers are that begin with either 5 or 6?
mojhsa [17]
Answer: 100 3 digit even number that begin with either 5 or 6

Explanation:
Case 1:
A 3 digit that begin with 5 should be 500-599 so there are 100 numbers
But we are only finding even number
So 100/2 = 50 3-digit even number that begin with 5.

Case 2:
A 3 digit that begin 6 should have
600-699 and there are also 100 number including even and odd in total. Since we are only finding even number we get:
100/2 = 50 3-digit even number that begin with 6.

Plus both case together we get 50 3-digit even number that begin with 5 + 50 3-digit even number that begin with 6= 50 + 50 = 100
8 0
4 years ago
Read 2 more answers
1. Find the missing angle. 61 55 51​
kaheart [24]

Answer:

193 degrees

Step-by-step explanation:

61 + 55 + 51 = 167

360 - 167 = 193

Your welcome!

Kayden Kohl

8th Grade Student

4 0
3 years ago
Read 2 more answers
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