Answer:
d=2.5
Step-by-step explanation:
first find the coordinate of B(mid point of AC):A(3,7) C(6,11)
d=√(6-3)²+(11-7)²
d=√3²+4²
d=√9+16=√25=5
since B is the mid point : d/2=5/2=2.5
<h2>Another way :</h2>
B(x1+x2/2 , y1+y2/2) , x1=3 , x2=6, y1=7, y2=11
B(9/2,18/2)
B(9/2,9)
Find AB : the length or distance between 2 points:
d=√(x2-x1)²+(y2-y1)²
d=√(3-9/2)²+(7-9)²
d=√(-3/2)²+(-2)²
d=√1.5²+4
d=√6.25
d=2.5
Answer:
Step-by-step explanation:
90x - 60y = 68.....multiply by -1
90x - 70y = 91
---------------------------
-90x + 60y = -68 (result of multiplying by -1)
90x - 70y = 91
---------------------------add
-10y = 23
y = -23/10 <===
90x - 60y = 68
90x - 60(-23/10) = 68
90x + 138 = 68
90x = 68 - 138
90x = - 70
x = -70/90
x = -7/9 <=====
Answer:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace f(x) with 0 and solve for x. = (−∞,∞)
Step-by-step explanation:
Answer:
C. 184 ft²
Step-by-Step Explanation:
The formula for the surface area of a triangular prism is
SA = bh + 2ls + lb; where b = base, h = height, l = length, s = side
First, substitute the known value into the equation:
b = 6 ft
h = 4 ft
l = 10 ft
s = 5 ft
SA = (6)(4) + 2(10)(5) + (10)(6)
Then, all we have to do is simplify:
SA = 24 + 2(50) + 60
SA = 24 + 100 + 60
SA = 184 ft²
Hope this helps!
Step-by-step explanation:
(8x8) + (16x16) = 64+256 = 320
√320 = 17.9