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3 years ago

Simplify this problem . Please help

Mathematics

2 answers:

s2008m [1.1K]3 years ago

4 0

5x^4 / y^5 is your answer

d1i1m1o1n [39]3 years ago

3 0

When you're dividing exponents, you subtract. The numbers act the same however, so you can divide the values separately and then put them together at the end.
15 ÷ 3 = 5
x^6 ÷ x² = x^(6-2) = x^4
y³ ÷ y^8 = y^(3-8) = y^-5
So your final answer is 5x^4y^-5
I hope this helps!

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For which value(s) of the constant k is the circle x² + (y − k)² = 16 tangent to the line y = 3?

STALIN [3.7K]

Answer:

Step-by-step explanation:Let us find points of intersection of line

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and we get

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or

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i.e.

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This would give two values of

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i.e. two points. But tangent cuts the circle in only at one point. This will be so when discriminant is zero i.e.

(

−

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⋅

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⋅

(

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Norma-Jean [14]

There are 90 4-digit palindromes

<h3>What are palindromes?</h3>

Palindromes are numbers whose reverse is the same as the original number

<h3>How to determine the count of 4-digit palindromes</h3>

Since the digit is 4, then

The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
The second digit can be any of 0 - 9 (i.e. 10 digits)
The third digit must be the second digit (i.e. 1 digit)
The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

$n =9 * 10 * 1 * 1$

Evaluate the product

$n =90$

Hence, there are 90 4-digit palindromes.