Answer:
P' = (2, -2)
Step-by-step explanation:
You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).
Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).
Answer:
Option (A)
Step-by-step explanation:
The Barnard's Star is usually considered to be a red dwarf, that is approximately six light-years away from the location of earth. It is present in the Ophiuchus constellation and forms the 4th proximate star to the sun.
Altair refers to the bright shining star present in the Aquila constellation. It forms the 12th brightest star that occurs in the night sky.
Spica is one of the proximate stars to the earth and that is extremely large having a mass of almost ten times the mass of the sun.
The mass of Barnard's star is= 2.864 × 10^29 kg
The mass of the Altair is= 3.56 × 10^30 kg
The mass of the Spica= 19.89 × 10^30 kg
The arrangement of these given stars in the increasing order are as follows-
Barnard's star (minimum) < Altair star < Spica star (maximum)
Hence, the correct answer is option (A).
Answer:
1500 pounds
Step-by-step explanation:
math lol
Answer:
Amount borrowed from friend = 4000
From Bank = 8000
From insurance = 3200
Step-by-step explanation:
Given that:
Amount borrowed = $15200
Let amount borrowed from friend = x
x at 5% = 0.05x
From Bank = 2x at 8% = 0.08*2x = 0.16x
From insurance = 15200 - (x + 2x) at 4%
From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x
Interest paid in first year = $968
Simple interest = principal * rate * time
968 =
968 = (0.05x + 0.16x + 608 - 0.12x)
968 - 608 = 0.05x + 0.16x - 0.12x
360 = 0.09x
x = 360 / 0.09
x = 4000
Hence,
Amount borrowed from friend = 4000
From Bank = 2x = 4000 * 2 = 8000
From insurance = 15200 - (4000 + 8000) = 3200