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3 years ago

The midpoint of JK¯¯¯¯¯¯¯¯is M(6, 3). One endpoint is J(14, 9). Find the coordinates of endpoint K.

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

The image is downloaded.

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HELP PLEASE

mario62 [17]

Answer:

26.4

Step-by-step explanation:

<u>Law Of Cosines:</u>

$cos(A)=\frac{b^2+c^2-a^2}{2bc}$

This should work for any side. This can generally be thought as:

$cos(\text{angle}) = \frac{\text{sum of squares of two other sides-opposite side squared}}{\text{2 times the product of the other two sides}}$

If this is too confusing here's the formula for the other sides (which is essentially the same, just different variables)

$cos(B)=\frac{a^2+c^2-b^2}{2ac}$

$cos(C) =\frac{a^2+b^2-c^2}{2ab}$

Anyways now just plug in the known values into the equation

$cos(A)=\frac{4^2+6^2-3^2}{2(6)(4)}\\$

Square and multiply values

$cos(A)=\frac{16+36-9}{48}$

Add the values in the numerator

$cos(A)=\frac{43}{48}$

Take the inverse of cosine on both sides

$A=cos^{-1}(\frac{43}{48})$

calculate arccosine (inverse cosine) using a calculator

$A\approx 26.384$

Round to nearest tenth

$A\approx26.4$

7 0

2 years ago

How would you solve for x ?

Grace [21]

Answer: 128 degrees

Explanation:

Using the interior angles formula, 180(n-2), where n is the number of sides, we can determine that the interior angles must add up to 180(3) or 540. Therefore, 98+104+120+90+x=540

Simplify:

412+x=540

x=128

6 0

4 years ago

Sarah has read aloud in class 3 more times than Joel. Sarah has read 9 times. Which equation represents this situation?

Naya [18.7K]

A j + 3 = 9

9-3=6
j=6
6+3=9

6 0

4 years ago

If g(x)=4x-5 find g(-3).

tino4ka555 [31]

Answer: -17

Explanation: If g(x) = 4x - 5, then g(-3) = 4(-3) - 5 which simplifies to -17.

7 0

3 years ago

6 root 5 plus 6 root 5

KengaRu [80]

Answer:

12√5

Step-by-step explanation:

6√5 + 6√5 = (6 + 6) * √5 = 12 * √5 = 12√5.

3 0

3 years ago

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