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Nadusha1986 [10]
2 years ago
15

Factor 4a^2b^4-25x^6y^4

Mathematics
1 answer:
jeka57 [31]2 years ago
4 0
4a²b⁴ - 25x⁶y⁴

(2ab²)² - (5x³y²)²     

= (2ab² + 5x³y²)(<span>2ab² - 5x³y²)    By difference of two squares</span>
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When a plane intersects a sphere, what two-dimensional shape describes the cross-section? ​
trasher [3.6K]

Answer:

A Circle

Step-by-step explanation:

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2 years ago
Whats the Axis of Symmetry? willing to give 15 points !!
nydimaria [60]

The axis of symmetry of a parabola in the form

y=ax^2+bx+c

is a vertical line

x=k

where k is the x coordinate of the vertex of the parabola.

The x coordinate of the vertex of the parabola is given by

-\dfrac{b}{2a}

which in your case is

-\dfrac{-6}{2\cdot \frac{1}{4}}=\dfrac{6}{\frac{1}{2}}=6\cdot 2=12

So, the axis of symmetry is the line x=12.

4 0
3 years ago
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is . The probabi
Tems11 [23]

Answer:

1/15

Step-by-step explanation:

When we form such three-digit numbers with distinct digits using the digits  1 , 2 , 3 , 5 , 8  and  9  (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits  1 , 2 ,  and  3 , we can have  123 , 132 , 231 , 213 , 312  or  321 .

Hence we have to find number of  3  digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ =  6  ×  5  ×  4  =  120 .

.How haw many of them will have first digit as even, we have two choices  2  and  8 . Once we have chosen  2

for hundreds place, we can have only  8  in units place and any one of remaining  4  can be used in tens place. Hence four choices, with  2  in hundreds place and another four choices when we have  8  in hundreds place (and  2  in units place) i.e. total 8  possibilities.

Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is  8  /120  =  1 /15

.

4 0
2 years ago
Does the inequality sing mean equals in an equasion
shtirl [24]
Here are the 4 inequality signs.

a < b     ---> a is less than b
a \le b    ---> a is less than or equal to b
a > b     ---> a is greater than b
a \ge b    ---> a is greater than or equal to b

For the second and fourth lines above, the two sides may or may not be equal.
For the first and third lines above, the two sides cannot be equal.

6 0
2 years ago
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
irakobra [83]
Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891
6 0
3 years ago
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