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leva [86]
3 years ago
5

I NEED HELP! Find the distance from(-4,4) to the line defined by y= -2x+6.Express as a radical or a number rounded to the neares

t hundreth

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0
In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is 2√5 units.


Attached below is the calculation to arrive at the answer as well as a graph.

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Step-by-step explanation:

cot A + cot C

Write in terms of sine and cosine:

cos A / sin A + cos C / sin C

Common denominator:

(cos A sin C + cos C sin A) / (sin A sin C)

Angle sum formula:

sin(A+C) / (sin A sin C)

Angles of a triangle add up to π:

sin(π−B) / (sin A sin C)

Shift identity:

sin B / (sin A sin C)

Law of sines:

sin B / ((a sin B / b) × (c sin B / b))

sin B / (ac sin² B / b²)

b² / (ac sin B)

From law of cosine:

b² = a² + c² − 2ac cos B

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b² = 2ac cos B

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3 years ago
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Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which distance measurement is the most precise?
IgorLugansk [536]

Answer:

C- 29.25

Step-by-step explanation:

This answer goes into the thousendths place, meaning this is the most accurate.

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3 years ago
H(x)= 9/x( x^2-49)<br> Determine the domain of the function
Norma-Jean [14]

Answer: The domain of the function h(x) = \frac{9}{x(x^2-49)} is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

x=0

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So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

8 0
3 years ago
Help please will mark Brainlyest plz help quickly
Helga [31]

Answer: 28*63

Step-by-step explanation:

- If first you want the answer, you must divide and then you would get 63.

- Then you take 63 and multiply 28 and you'll get 1,764

Hope I was able to help.

(For question 27)

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