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3 years ago

Consider the circle of radius 10 centered at the origin. Find an equation of the line tangent to the circle at the point (6, 8)

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

4 0

Answer:

y = -3/4 x + 25/2

Step-by-step explanation:

x² + y² = 100

Take derivative with respect to x.

2x + 2y dy/dx = 0

2y dy/dx = -2x

dy/dx = -x/y

Evaluate at (6, 8).

dy/dx = -6/8

dy/dx = -3/4

Use point-slope form to write equation:

y − 8 = -3/4 (x − 6)

Simplify.

y − 8 = -3/4 x + 9/2

y = -3/4 x + 25/2

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A×b×8. please can someone help me

OleMash [197]

Answer:

Answer will be 8ab.

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3 years ago

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You are conducting a study to test whether there is a difference in the mean number of alcoholic drinks consumed per evening bet

salantis [7]

The value of test statistic is 5.45

Data;

n1 = 25
n2 = 30
x1 = 6.2
x2 = 3.8
s1 = 2
s2 = 1

<h3>Test Statistic</h3>

The formula to calculate the test statistic is given as

$t = \frac{x_1 - x_2}{\sqrt{\frac{s_1^2}{n_1}+ \frac{s_2^2}{n_2} } } \\$

Let's substitute the values and solve for t

$t = \frac{x_1 - x_2}{\sqrt{\frac{s_1^2}{n_1}+ \frac{s_2^2}{n_2} } } \\t = \frac{6.2 - 3.8}{\sqrt{\frac{2^2}{25} + \frac{1^2}{30} } } \\t = \frac{2.4}{0.44} = 5.45$

The value of test statistic is 5.45

Learn more on test statistic here;

brainly.com/question/15980493

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3 years ago

An $80 printer is selling for 37.5% off. Find the final price of the printer if sales tax is 9%

Sonja [21]

Answer:

$54.50 would be your answer

Step-by-step explanation:

$80 as a decimal is 0.80

This means that 37.5 x 0.80 which is 30 will be taken off, so the printer is $30 off.

$80 - 30 off, so the pirinter sells for $50

sales tax is 9% on the price of $50, so multiply 50 by 1.09.

50 x 1.09 = 54.5

Therefore the final price is $54.50

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2 years ago

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natali 33 [55]

Step-by-step explanation:

5x 3 1/2 = 3 x 5 1/2 is false

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3 years ago

Please help. Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 3 hours and 6 minutes(Fraction form)

Tamiku [17]

Answer:

$26 \frac{13}{15}$ miles

Step-by-step explanation:

Let's convert 8 and 2/3 to an improper fraction

8 2/3 = 26/3

Lets convert 3 hours and 6 minutes over a fraction of 60 minutes

3 hours 6 minutes = 186 minutes/60 minutes = 186/60

Multiply both improper fractions:

$\frac{26}{3} \cdot \frac{186}{60} = \frac{4836}{180} = 26.866.... = 26 \frac{13}{15}$

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3 years ago