Answer:
Step-by-step explanation:
x2 - 6x = - 25
Rearrange the equation and let it be equal to 0
x2 - 6x +25 = 0
Using the Almighty formula
x =( -(-6) + √9)/2 or (-(-6) - √9)/2
x =4.5 or-1.5
x = 4.5
x - boat speed; y - current speed; Path = 336:2 = 168 miles
1) 12 * (x + y) = 168; -> x + y = 14;
2) 14 * (x - y) = 168; -> x - y = 12;
1) x = 14 - y;
2) (14 - y) - y = 12;
14 - 2y = 12;
2y = 2;
y = 1 mph
x = 14 - 1 = 13 mph
Answer:
Boat speed = 13 mph
Current speed = 1 mph
Answer:
b. both functions have a negative slope
Step-by-step explanation:
The given function is
This function is of the form 
, where 
is the slope and 
is the y-intercept.
We can also determine the slope of the function in the table using any two points, say 
.
The slope formula is given by,
.
If 
, then,
.
We can see that both functions have a negative slope.
The correct answer is B.
Answer:
n = 6
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
Angles B and D are supplementary angles, so if B's angle is 30 degrees, then D's angle at y would be 150, since they have to add to 180.
In short, angle y = 150
