Answer:
(-2,-2)
Step-by-step explanation:
The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).
Answer:
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Step-by-step explanation:
If x is the liters of 25% solution, and y is the liters of 10% solution, then:
x + y = 120
0.25x + 0.10y = 0.20(120)
Solve the system of equations using substitution or elimination. Using substitution:
0.25x + 0.10(120 − x) = 0.20(120)
0.25x + 12 − 0.10x = 24
0.15x = 12
x = 80
y = 40
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Oh ya that's right <span>g(x)=2^x+3</span>
Answer:
Speed of the plane from Washington: 
Speed of the plane from LA: 
Step-by-step explanation:
We need to remember that:

Where "d" is distance, "V" is speed and "t" is time.
Let be "w" the speed in mph of the plane from Washington and "l" the speed in mph of the plane from LA.
We know that the distance between the cities is 2700 miles and after they flied for 2 hours, the distance between them was 500 miles. Then we can write the following equation:
[Equation 1]
Since the speed of the plan from LA was 100 mph faster, we can write this equation:
[Equation 2]
The steps to solve this are:
1. Substitute the Equation 2 into the Equation 1 and solve for "w":

2. Substitute the value of "w" into the Equation 2 in order to find "l":