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lianna [129]
3 years ago
14

The midpoint of a segment is ( 6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0
So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is:

((x1+ x2)/2, (y1 + y2)/2 {Average of the x coordinates, average of the y coordinates}.

For this problem we know the coordinates of the midpoint along with one of the endpoints.

So the x coordinate of the midpoint (9) must equal (12 + x2)/2.

That is: 9 = (12 + x2)/2 Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.
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A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive
worty [1.4K]

Answer: 65.1 (mg)

Step-by-step explanation:

y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}

6 0
3 years ago
Question 2 help please
m_a_m_a [10]

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

  • In any triangle, the sum of the measures of its interior angle is 180°
  • In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

6 0
3 years ago
Can Someone plz help me with this question? <br> I will mark brainliest
Gala2k [10]
The answer to your question is

No
8 0
3 years ago
PLEASE CHECK AND SEE IF I'M CORRECT!!! <br> CORRECT ANSWERS ONLY PLEASE!!!
jeka57 [31]
BD is right but PA is wrong, would be BD and MK.
5 0
3 years ago
3x = 1/9 what is x<br> Please respond quick
SOVA2 [1]
X=1/27 decimal form=0.037 repeating
3 0
2 years ago
Read 2 more answers
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