Answer this maths question: x³+y³+z³

Given the midpoint and one of the endpoints of a line segment, find the other endpoint. Midpoint: (0,3) Endpoint: (6,-3)

andrey2020 [161]

Answer:

$(-6,9)$

Step-by-step explanation:

Midpoint: (0,3)

Endpoint: (6,-3)

Use the midpoint formula:

$M=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})$

Since you already have the midpoint and you need an endpoint, let the unknown endpoint be (x,y). Take the midpoint formula apart:

$\frac{x_{1}+x{2}}{2}=m_{x}$

$\frac{y_{1}+y_{2}}{2} =m_{y}$

$m_{x}$ and $m_{y}$ are the coordinates of the midpoint. Enter the known values of the midpoint into the equations:

$(0_{m_{x}},3_{m_{y}})\\\\\frac{x_{1}+x_{2}}{2}=0 \\\\\frac{y_{1}+y{2}}{2}=3$

Now enter the known endpoint values:

$(6_{x_{1}},-3_{y_{1}})\\\\\frac{6+x_{2}}{2}=0\\\\\frac{-3+y_{2}}{2}=3$

Solve for x. Multiply both sides by 2:

$2*(\frac{6+x}{2})=2*(0)\\\\6+x=0$

Subtract 6 from both sides:

$6-6+x=0-6\\x=-6$

Now solve for y. Multiply both sides by 2:

$2*(\frac{-3+y}{2})=2*(3)\\\\ -3+y=6$

Add 3 to both sides:

$-3+3+y=6+3\\y=9$

Now take the values of x and y and turn into a point:

$x=-6\\y=9\\(-6,9)$

Finito.

7 0

3 years ago

The spring concert at a certain high school sold 155 tickets. Students were charged $4 each and adults $8 each. The income from

garik1379 [7]

Answer:

Step-by-step explanation: 85 students and 80 adults

6 0

3 years ago

Daniel wrote the following two-column proof for the given information.

Pavel [41]

The information given about the proof does that Daniel made an error on line 2.

<h3>How to illustrate the information?</h3>

Given:

1. AB = 3x +2; BC = 4x + 8; AC = 38

2. AB + BC = AC incorrect (not an angle angle addition postulate)

3. 3x+2 + 4x + 8 = 38 correct

4. 7x + 10 = 38 correct

5. 7x = 28 correct

6. x = 4

Daniel made an error on line 2.

Here is the complete question:

Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5

Learn more about proof on:

brainly.com/question/4134755

#SPJ1

8 0

2 years ago

(2 pts) Amid students in a certain Capstone group, 60% have taken Linear Algebra , 50% have taken Calculus 3 , and 30% hav

Reil [10]

Answer:

a. 0.6

b. 0.5

Step-by-step explanation:

Let A be the event that student takes algebra and C be the event that student takes Calculus 3.

P(A)=0.60

P(C)=0.5

P(A and C)=0.30

a.

We have to find P(A/C).

P(A/C)=P(A and C)/P(C)=0.3/0.5=0.6

Thus, if someone took Calculus 3, the probability that he/she took Linear Algebra too is 0.6 or 60%

b.

We have to find P(C/A)

P(C/A)=P(A and C)/P(A)=0.3/0.6=0.5

Thus, if someone took Linear Algebra, the probability that he/she took Calculus 3 too is 0.5 or 50%

4 0

3 years ago

The perimeter of the rectangle is 102 inches. If the length of a rectangle exceeds the width by 5 inches, find the length and wi

Bumek [7]

Answer:

the answer is 10.2 .

Step-by-step explanation:

You divide 102 by 5 which gets you 20.4

You then need to divide 20.4 by 2 since there are 2 sides

And so your answer is 10.2

3 0

3 years ago