Answer:
A = s²√15.9375
Step-by-step explanation:
An altitude of the triangle divides it into two right triangles, each with a leg of s/2 and a hypotenuse of 8s. Then the length of the altitude (h) is given by the Pythagorean theorem as ...
h² + (s/2)² = (8s)²
h = s√(64 -1/4) . . . . . . . subtract s²/4 and take the square root
Then the area is ...
A = (1/2)sh = (s/2)(s√63.75)
We can put all the constants in one place to get ...
A = s²√15.9375
Answer:
The probability of the first marble being blue and second being red is a 50/50 because you have 12 red and 12 blue so 50/50
Step-by-step explanation:
Answer:
14/27
Step-by-step explanation:
Let x be the unknown number
-2/3 * x = -28/81
Multiply each side by -3/2
-3/2*-2/3 * x = -28/81 * -3/2
x = 28/2 * 3/81
x =14*1/27
x = 14/27
Answer:
C
Step-by-step explanation:
Given the 2 equations
y =
x + 2 → (1)
- x + 3y = 6 → (2)
Substitute y =
x + 2 into (2)
- x + 3(
x + 2) = 6 ← distribute left side
- x + x + 6 = 6, that is
6 = 6 ← True
This statement indicates the system has infinitely many solutions