Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.
Pythagorean Theorem: a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
c = 8.06
Hope this helps!! :)
1/2(5x + 12) = 2x - 3
5/2 x + 6 = 2x - 3
5/2 x - 2x = -3 - 6 = -9
5x = 2 x -9 = -18
x = -18/5
Answer:
2
Step-by-step explanation:
Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.
Answer:
39 3/8
Step-by-step explanation:
Answer:
d=4
Step-by-step explanation:
SUM OF 15 terms = 615
T5 = 53
T5 = a+(n-1)d
53 = a + 4d
4d = 53 - a
d = (53-a)/4
S15 = 15/2 (2a+14d) =615
15/2 [2a + 14×(53-a)/4 ]
=15/2 [ 2a +(53×14 - 14a )/4 ]
=15/2 [ (8a +742 - 14a ) /4]
615×8 = 15(-6a +742)
-6a+72=615×8/15 =41
-6a+72=42
-6a = - 72 + 42 = -30
a = 30/6= 5
a = 5
T5 = 5 + 4×d = 53
4d= 53 - 5 = 48
4d=48
d=4
Common difference is 4
