Answer:
45%
Step-by-step explanation:
Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%
2x+y = -5. Solve this for y. We get y = -2x - 5. Find y^2: 4x^2 + 20x + 25. Substitute 4x^2 + 20x + 25 for y^2 in the first equation:
x^2 + 4x^2 + 20x + 25 = 25
Then 5x^2 + 20x = 0, so that x = 0. Subst. 0 for x in the 2nd eqn and find the value of y. Write your solutions as shown above: ( , ) and ( , ).
Answer:
Step-by-step explanation:
23x-12-4x+5x
24x-12 combine the 23x-4x+5x to get 24x
19-14+3x+12x
15x+5 19-14=5 3x+12x=15x
6x+19-14x+9
-8x+28 -14x+6x= -8x 19+9=28
Answer:
Step-by-step explanation:
16
Answer:
(22/5, 11/5)
Step-by-step explanation:
Gandalf starts walking in the vector v = 4i + 2j, the slope of it must be 2/4 = 1/2.
So, calling the turn point (x,y) it must be in that vector, and the start point (2,1) must also be in this line, so:
slope = Δy/Δx
1/2 = (y - 1)/(x - 2)
2y - 2 = x - 2
2y = x
y = x/2
The line that makes a right angle with another is called perpendicular, and it has its slopes equal to the opposite of the inverse of the slope of the other line, so:
slope = - 2
The point (x,y) also pertences to it, such as the point (3,5), so:
-2 = (y - 5)/(x - 3)
y - 5 = -2x +6
y = -2x + 11
So, the turn point is the point where these two lines meet:
x/2 = -2x + 11
x = -4x + 22
5x = 22
x = 22/5
y = (22/5)/2
y = 22/10 = 11/5
So, the point that he makes the turn is (22/5, 11/5).
