mamadoueditsnaruto mamadoueditsnaruto
  • 18-10-2021
  • Mathematics
contestada

Point P has coordinates (-4, -2) and point Q has coordinates (4, 3).
Calculate the shortest distance between P and Q.
Give your answer to 1 decimal place.

Respuesta :

jimrgrant1 jimrgrant1
  • 18-10-2021

Answer:

≈ 9.4

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P (- 4, - 2 ) and (x₂, y₂ ) = Q (4, 3 )

PQ = [tex]\sqrt{(4-(-4))^2+(3-(-2))^2}[/tex]

     = [tex]\sqrt{(4+4)^2+(3+2)^2}[/tex]

     = [tex]\sqrt{8^2+5^2}[/tex]

     = [tex]\sqrt{64+25}[/tex]

     = [tex]\sqrt{89}[/tex]

     ≈ 9.4 ( to 1 dec. place )

Answer Link

Otras preguntas

what is the complete predicate and simple predicate ? We walked to the park. My brother Ken collects old stamps. I cooked a delicious meal. Mom works hard all d
Suppose the probability of a student takes AP Calculus as is on the honor roll is 0.0035, and the probability that a student is on the honor roll is 0.23. Find
Justin is redoing his bathroom floor with tiles measuring 6in by 13 in. the floor has an area of 8,500 in². what is the least number of tiles he will need?
11r+60=16 show work plz
Find the rate and unit rate for 40 meters in 16 seconds
DVDS are on sale for $24 each. Which expression can be used to find the cost in dollars of buying 4 DVDS.
Solving Multi-Step Equations14. 4(2a+2)-17= 1516. -4x+3(2x-5)= 3117. -6-3(2k+4)= 1822. 2x+ 3/4(4x+16=7
Name Two Major Branch Of Geography!
100 is 1/10 of what?
what is the expression of The product of 4 and a number , then increased by 8.