MATHEMATICS HIGH SCHOOL

Find the distance between the points (1, 4) and (-2, -1).

Answers

Answer 1

Answer:

The distance between the two points is √34

Distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)² + (y2-y1)²

Given the coordinate points (1, 4) and (-2, -1). Substitute into the formula to have:

D = √(-1-4)² + (-2-1)²

D = √(-5)² + (-3)²

D = √25 + 9

D = √34

Hence the distance between the two points is √34

Learn more on distance here: brainly.com/question/23848540

Answer 2

Answer:

Answer:

(3,5)count manually to get(3,5)

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What is the gcf of 18,54, and 72

Answers

I think its 9 because 9 times 2 is 18 9 times 6 is 54 and 9 times 8 is 72

if you deposit 250 each quarter in a bank account that pays interest at 16% compounded quarterly how much will you have at the end of five years

Answers

You deposit 250 each quarter in a bank account that pays interest at 16% compounded quarterly.
Let's solve how much will you have at the end of five years.
=> 250 dollars with 16% interest per quarter
=> 5th year interest $79.54
=> TOtal interests $297.78
=> TOtal balance.$547.78

WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!Find the area of the shaded segment of the circle.

Answers

[(81*3.14)/4] - (81/2)

Answer:

The shaded segment = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

= pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

What is the 44th decimal digit in the decimal representation of 1/11?

Answers

The decimal representation of 1/11 is 0.090909...
The pair of digits '09' repeat forever.

If you start counting the digits after the decimal point,
the odd ones are all zero, and the even ones are all 9 .

So the 44th digit after the decimal point is 9 .

Final answer:

The 44th decimal digit in the decimal representation of 1/11 is 9, as the pattern '09' repeats indefinitely.

Explanation:

The decimal representation of 1/11 is 0.090909..., which is a repeating decimal. The pattern '09' repeats indefinitely. To find the 44th decimal digit, we can divide 44 by 2 (since each '09' is 2 digits), which equals 22 with remainder 0. This means that the 44th digit is the second digit of the 22nd '09' pair, so the 44th decimal digit in the decimal representation of 1/11 is 9.

Learn more about Repeating Decimals here:

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Help help help help help help help help help help help help

Answers

Answer:

,lo

Step-by-step explanation:

jmnnnnnnnnnnnnnnnnnnnnnn

According to the Rational Roots Theorem, which statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 is true?Any rational root of f(x) is a multiple of –49 divided by a multiple of 25.

Any rational root of f(x) is a multiple of 25 divided by a multiple of –49.

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

Any rational root of f(x) is a factor of 25 divided by a factor of –49.

Answers

Answer:

Any rational root of f(x) is a factor of -49 divided by a factor of 25.

Step-by-step explanation:

The Rational Root Theorems states that :

If the polynomial $P(x)= a _nx^n +{a_(n-1)x}^(n-1)+............{a_(2)x}^(2)+{a_(1)x}^(1)+a_0$ has any rational roots, then they must be in the form of

$\pm (factors of a_0)/(factors of a_n)$

Consider the polynomial

$f(x)=25x^7-x^6-5x^4+x-49$

in this case, we have $a_0=-49$ and $a_n=25$

Any Rational root of f(x) is a factor of $a_0=-49$ divided by a factor of $a_n=25$

According to the Rational Roots Theorem, the statement about f(x) = 25x^7 – x^6 – 5x^4 + x – 49 which is true is:

Any rational root of f(x) is a factor of –49 divided by a factor of 25.

The key points are "factors", and "ratio between the constant term and the coefficient of the highest order (exponent) term"

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