Answer:
See below
Step-by-step explanation:
c = (a^2 + 3b) / 4 multiply both sides by 4
4c = a^2 + 3b subtract a^2 from both sides
4c - a^2 = 3b now divide both sides by 3
(4c-a^2) / 3 = b
13, start with 24, right? 24 plus 6 is 30. 30 minus 12 is 18. 18 minus 5 is 13.
Answer:
x = 14
Step-by-step explanation:
30 = 3x - 12 (vertically opp)
30 + 12 = 3x
42 = 3x
42÷3 = x
14 = x
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
