Answer:
∠ AOB = 139°
Step-by-step explanation:
Since AOC is a straight line then
∠ AOB + ∠BOC = 180° , that is
8x + 51 + 6x - 25 = 180
14x + 26 = 180 ( subtract 26 from both sides )
14x = 154 ( divide both sides by 14 )
x = 11
Then
∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°
Answer:
f(x) = x^2 -3
Step-by-step explanation:
A function is translated down 3 units by subtracting 3 from the function value. For the parent function f(x) = x^2, the translated function is ...
f(x) = x^2 -3
_____
<em>Comment on vertex form</em>
The full "vertex form" has the values of the vertex coordinates in the equation explicitly. For vertex (h, k), the form is ...
f(x) = a(x -h)^2 +k
We have moved the vertex from (0, 0) to (0, -3). The vertical scale factor (a) remains 1. So, we could write the equation as ...
f(x) = 1(x -0)^2 -3 . . . . vertex form with unnecessary parts shown
Removing the identity elements doesn't change anything (though it requires a little practice to see them when they aren't there). So, with minor simplification, this becomes ...
f(x) = x^2 -3
481.942 this should be the answer
8.55 x 10^7 should be the answer.
Answer:
0.15 Gallons
Step-by-step explanation:
9/10 = 0.9 (Conversion)
0.9 ÷ 6 = 0.15
