1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anvisha [2.4K]
3 years ago
14

For the points Upper P 1 (negative 3 comma 1 comma 5 )and Upper P 2 (1 comma 5 comma 0 )​, find the direction of ModifyingAbove

Upper P 1 Upper P 2 with right arrow and the midpoint of line segment Upper P 1 Upper P 2.
Mathematics
1 answer:
pychu [463]3 years ago
5 0

Answer:

The direction of \overrightarrow{P_1P_2} is (4,4,-5).

The midpoint of the line segment \overline{P_1P_2} is in (-1 , 3 , 2.5)

Step-by-step explanation:

The direction of a vector that goes from the initial point A to the final point B can be calculated as the subtraction of B with A. In this case:

\overrightarrow{P_1P_2}=\vec{P_2}-\vec{P_1}=(1, 5, 0) - (-3, 1, 5)=(4, 4, -5)

The midpoint of the line segment between two points A and B can be obtained as the halving of the addition of the vector A with the vector B. The line segment AB and the vector A+B make a rhombus. These lines will cross each other in their respective mediatrix. Therefore, if you obtain the point of the mediatrix of the vector A+B, you will find the midpoint of the segment AB. In this case:

P_{mid1-2}=(\vec{P_1}+\vec{P_2})/2=\frac{1}{2}[(-3, 1, 5)+(1, 5, 0)]=(-1, 3, 2.5)

You might be interested in
One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs
lilavasa [31]

Answer: 21, 28

Step-by-step explanation:

  • Side #1 = x
  • Side #2 = x + 7
  • Hypotenuse = 35

Use the Pythagorean Theorem a^{2}+b^{2}=c^{2}:

  • a = x
  • b = x + 7
  • c = 35

Substitute in the values & solve:

x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21

<em><u>-28 is not a possible solution since you can't have negative inches...</u></em>

  • a = x = 21
  • b = x + 7 = 21 + 7 = 28
  • c = 35
6 0
3 years ago
How to graph the linear inequality
Paha777 [63]

Step-by-step explanation:

here I have done you can check it out

5 0
1 year ago
A 10 gram ball is rolling at 3 m/s. The ball has __________ energy. Calculate it.
sladkih [1.3K]

Answer:

kinetic

Step-by-step explanation:mark brainliest plzzzzzzzzzz

3 0
2 years ago
Read 2 more answers
What is the value of x
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

6 0
2 years ago
Read 2 more answers
Which equation represents the graph below?
kari74 [83]
The correct answer it’s a
5 0
3 years ago
Other questions:
  • Why should "for deposit only" be written on a check along with the bank account number when it is endorsed?
    13·2 answers
  • Given triangle ABC with coordinates A(−2, 7), B(−2, 4), and C(−4, 3), and its image A′B′C′ with A′(2, 3), B′(−1, 3), and C′(−2,
    5·1 answer
  • Which of the following represent the length of a diagonal of this trapezoid?
    10·1 answer
  • The hand on a clock shows 6:00pm what is the measure of the angle
    8·2 answers
  • Deanna is a dog groomer. On Monday, she groomed 12 dogs in 8 hours. On Tuesday, she groomed 9 dogs in 6 hours. On Wednesday, she
    6·2 answers
  • Well I need help for this question so can anyone get it right
    7·2 answers
  • Simplify<br> 20<br> What the answer?
    9·2 answers
  • C 50 <br> D 30<br><br> HELP PLEASE WILL MARK U BRAINLIST!
    13·1 answer
  • What is the median of the data set?
    7·2 answers
  • The original price of an xbox was $500. Now it is on sale for $330. What percentage of the original price was the markdown?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!