We conclude that the distance between points C and D is 5 units.
<h3>
How to find the distance between the two points?</h3>
Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these points is:
d = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)
In this case, we know that:
Point C has the coordinates (-1, 4)
Point D has the coordinates (2, 0)
Then the distance between these two points is:
d = √( (-1 - 2)^2 + (0 - 4)^2) = √25 = 5
We conclude that the distance between points C and D is 5 units.
If you want to learn more about distance between points:
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The answer is 160. There are 160 boys in the school. Take 360 divide by 9, then multiply by four.
Answer:
(5,2,2)
Step-by-step explanation:
-3x+4y+2z = -3
2x-4y-z=0
y = 3x-13
Multiply the second equation by 2
2*(2x-4y-z)=0*2
4x -8y -2z =0
Add this to the first equation to eliminate z
-3x+4y+2z = -3
4x -8y -2z =0
-------------------------
x -4y = -3
Take the third equation and substitute it in for y
x - 4(3x-13) = -3
Distribute the 4
x - 12x +52 = -3
Combine like terms
-11x +52 = -3
Subtract 52 from each side
-11x +52-52 = -3-52
-11x = -55
Divide by -11
-11x/-11 = -55/-11
x=5
Now we can solve for y
y =3x-13
y =3*5 -13
y = 15-13
y=2
Now we need to find z
2x-4y-z=0
2(5) -4(2) -z=0
10-8 -z=0
2-z=0
Add z to each side
2-z+z= 0+z
2=z
x=5, y=2, z=2
(5,2,2)
Answer:
1/3
Step-by-step explanation:
differentiate first equation to get t , then replace t with 1/3
