Answer:
A
Step-by-step explanation:
Answer:
(0,-7) and (0, -0.25)
Step-by-step explanation:
If there is a zero in the x place and a number in the y place (x, y) then it is a y interept because it does not cross the x-axis but it does cross the y axis which is a y intercept
Answer:
25 units
Step-by-step explanation:
No matter the direction of the vector, if we multiply the vector v by -5v, the magnitude can be calculated as follows:
Due to properties of absolute value:
We can use Trig to solve this problem. The trig function Tangent will help us.
Tangent=opposite/adjacent
Therefore:
Tan(41°)=12/x.
(12)Tan (41°)=x because we multiplied 12 on both sides to isolate X.
X=10.43 because we plugged the above statement into the calculator.
The answer: X=10.4 by rounding.
Answer:
1) Both 15.
2) 25 and -25.
Step-by-step explanation:
1) Let the 2 numbers be x and 30 - x.
The product = x(30 - x)
f(x) = x(30 - x)
f(x) = 30x - x^2
Finding the derivative:
f'(x) = 30 - 2x
Finding the maximum:
30 - 2x = 0
x = 15.
This gives a maximum f(x) because f"(x) = -2.
So the numbers are 15 and 30 - 15 = 15.
2). If one number is x the other is y.
x - y = 50
y = x - 50
The product =
x(x - 50)
= x^2 - 50x
Finding the derivative:
2x - 50 = 0 for a minimum value.
2x = 50
x = 25.
So the numbers are 25 and 25-50 = -25.