I think you forgot to give the options along with the question. I am answering the question based on my knowledge and research. "<span>|x−6.5| ≤ 0.02" is the absolute inequality for the possible lengths of the pole. I hope that this is the answer that you were looking for and the answer has come to your desired help.</span>
Answer:
10.3
Step-by-step explanation:
As we move from (-3,-6) to (2,3), x increases by 5 (this is the horizontal distance between (2,3) and (-3,-6) ) and y decreases by 9 (vertical distance).
We apply the Pythagorean Theorem here:
d^2 = x^2 + y^2, or
d^2 = (5)^2 + (-9)^2 = 25 + 81 = 106
Thus, the distance between (2,3) and (-3,-6) is d = sqrt(106), or approx.
10.3.
Answer:
x=-1, y = 2, z = 1
Step-by-step explanation:
We are given with three equations and we are asked to find the solution to them.
2x + 2y + 3z = 5 ------------- (A)
6x + 3y + 6z = 6 --------------(B)
3x + 4y + 4z = 9 ---------------(C)
Step 1 .
multiplying equation (A) by 3 and subtracting B from the result
6x + 6y + 9z = 15
6x + 3y + 6z = 6
- - - = -
_______________
3y+3z=9
y+z=3
y=3-z ----------------- (C)
Step 2.
Substituting this value of y in equation B and C
6x + 3(3-z) + 6z = 6
6x+9-3z+6z=6
6x+3z=-3
2x+z=-1 ----------------(D)
3x + 4(3-z) + 4z = 9
3x+12-4z+4z=9
3x=-3
x=-1 ------------ (E)
Putting this value f x in (D)
2(-1)+z=-1
-2+z=-1
z=1
Now we put this value of z in equation (C)
y=3-z
y=3-1
y=2
Hence we have
x=-1, y=2 and z=1
Answer:
x = - 2
Step-by-step explanation:
Givens
(2,5)
(x,3)
m = 1/2
Formula
m = (y2 - y1)/(x2 - x1)
Solution
y2 = 3
y1 = 5
x2 = x
x1 = 2
1/2 = (3 - 5)/(x - 2) Cross multiply
1*(x - 2) = 2 (-2) Combine and remove the brackets.
x - 2 = - 4 Add 2 to both sides
x = - 4 + 2
x = - 2
