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
bogdanovich [222]
3 years ago
6

P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.​

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

QR :

QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97

QR = sqrt(97) ≈ 9.848857802

RP :

RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145

RP = sqrt(145) ≈ 12.04159458

the perimeter/circumference of the triangle is the sum of all 3 sides

= 12 + sqrt(97) + sqrt(145) ≈ 33.89

You might be interested in
If DE = X+1, EF = x-2, DF =15, and E is<br> between D and F. then DE = ?
mart [117]

Answer:

X =8

Step-by-step explanation:

DF = DE + EF

15 = X+1 + X-2

16 = 2X

X = 8

8 0
2 years ago
How many radians is 330° in a fraction?
liubo4ka [24]

Answer:

5.76 Radians

Step-by-step explanation:

6 0
2 years ago
Laura earns $134,350 per year. Use Laura’s income tax rate to determine what her monthly deduction should be . ( the tax is 28%)
Andreyy89
Answer: Her refund would be $5,681.20.

The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618

However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060

So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8

The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2
4 0
3 years ago
How do you combine like terms of -8(r-2) + 6(r-2) ??? Will mark brainliest if the answer is right.
solmaris [256]

Answer:

-2r+4

Step-by-step explanation:

-8(r-2)+6(r-2)

Distribute:

(-8)(r)+(-8)(-2)+(6)(r)+(6)(-2)\\-8r+16+6r+-12

Combine like terms:

(-8r+6r)+(16+-12)\\-2r+4

-2r + 4 is your answer.

6 0
3 years ago
Problem: -7(2)+y=60, so where do I start?
aev [14]
-7(2)+y=60
-14+y=60
y=60+14
Y=74
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 5/7 minus 1/4
    5·2 answers
  • A large bottle of dragon breath mouthwash costs 5 dollars before tax on $5.30 after-tax what is the percentage of the tax
    10·1 answer
  • Find the area of the region bounded by the curves y = x2 − 1 and y = sin(x). Give your answer correct to 2 decimal places
    6·1 answer
  • rita flew from Los Angeles to Boston to visit her aunt, a distance of 4000km. the trip took 5 hours. what was the average speed
    13·2 answers
  • (CEFET – MG) Sendo , a metade do valor de y valeA)
    14·1 answer
  • ????????i don’t understand
    7·2 answers
  • How would you graph the inequality 5x+8y&gt;=250? Pls help me...
    10·1 answer
  • Given ΔABC, m∠C = 90° , m∠ ABC = 30° , AL ∠ Bisector CL = 6ft. Find LB (Feet)
    5·2 answers
  • Help ASAP!!!!! Which is the same as moving the decimal point 3 places to the right in a decimal number?​
    10·1 answer
  • Which expression is equivalent to 36x² - 25?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!