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
tensa zangetsu [6.8K]
3 years ago
13

Given A(2,0) and B(8,4), show that P(3,5) is on the perpendicular bisector of line AB by these 2 methods

Mathematics
1 answer:
Shalnov [3]3 years ago
7 0

1) First we need to find midpoint M of segment AB.

... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)

Then vector AB is B-A = (8-2, 4-0) = (6, 4)

and vector PM is P-M = (3-5, 5-2) = (-2, 3)

The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.

The product of these slopes is -1, indicating these vectors are perpendicular.

2) Vector PA is P-A = (3-2, 5-0) = (1, 5).

Vector PB is P-B = (3-8, 5-4) = (-5, 1).

The lengths of both of these vectors are √(1²+5²) = √26.

You might be interested in
PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
aksik [14]

Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².

<h3>What is the Surface Area of the Composite Figure?</h3>

Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.

Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².

Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²

Area of the surface both share together = 2(16)(5) = 160 m²

Total surface area = 276 + 328 - 160 = 444 m².

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

#SPJ1

3 0
2 years ago
Need help with the two questions please:)
____ [38]
The decimal form is x=1.2 and the mixed number is x= 1 1/5
4 0
2 years ago
Read 2 more answers
Two angles are supplementary if the sum of their measures is 180.
anastassius [24]
True.

two angles would be complementary if the sum of their angle measures is 90 degrees.

60 degrees and 30 degrees make a complementary angle while 90 and 90 degrees make a supplementary angle.
4 0
3 years ago
Can someone please answer this math problem and show your working
Jobisdone [24]
X=7 so that means replace all the x values with 7
7^3+5(3)= the answer solve it
7 square 3 + 5 times 3 equal

6 0
3 years ago
Pleaseeee helpppp!!!!​
kondor19780726 [428]

The right answer is Option A:x=\frac{rs-t}{2}

Step-by-step explanation:

Given expression is;

s=\frac{2x+t}{r}

We will solve this expression for x, therefore,

Multiplying both sides by r

r*s=\frac{2x+t}{r}*r\\rs=2x+t

Subtracting t from both sides

rs-t=2x+t-t\\rs-t=2x\\2x=rs-t

Dividing both sides by 2

\frac{2x}{2}=\frac{rs-t}{2}\\x=\frac{rs-t}{2}

The right answer is Option A:x=\frac{rs-t}{2}

Keywords: subtraction, division

Learn more about subtraction at:

  • brainly.com/question/1238144
  • brainly.com/question/12497249

#LearnwithBrainly

7 0
3 years ago
Other questions:
  • The sum of two numbers is 30. the difference of the two number is 4. what number is lesser
    7·1 answer
  • -12 - 8 - (-20) = A.0 B.16 C.-40 D.40
    5·1 answer
  • A boat has a speed of 9 mph in calm water. It takes the boat 4 hours to travel upstream but only 2 hours to travel the same dist
    15·2 answers
  • Is y=x^2 - 1 a linear?
    9·2 answers
  • Evaluate. [120 + (12 ÷ 3 • 30)] ÷ 20 + 10^2
    13·1 answer
  • Which expression is an equivalent expression of 12x + 10 + 4y?
    5·1 answer
  • Silas just bought a used car for $5000. It loses value at a rate of 30% per year. The value of the car in n years is modeled by
    15·1 answer
  • What is the surface area of the cylinder with height 8 in and radius 2 in? Round your answer to the nearest thousandth.
    12·1 answer
  • When solving for a variable in an equation, it is important to complete a 'goals' list so you can..."
    15·1 answer
  • Determine if (−2,4) is a solution to the following system of inequalities.-3x &gt; -7y -37x &gt; -5y -4
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!