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2 years ago

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.

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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

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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.

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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

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3 years ago