Pulling out like terms :
<span> 1.1 </span> Pull out like factors :
10 - 2y - 20x = -2 • (y + 10x - 5)
<span>Equation at the end of step 1 :</span><span>Step 2 :</span>Equations which are never true :
<span> 2.1 </span> Solve : -2 = 0
<span>This equation has no solution.
</span>A a non-zero constant never equals
Hello! I hope I can be of some assistance on this question! Anyways,
It is a simple and fun geometrical problem, and it makes all sense until: "The slope of Line segment DE is found to be 0 through the application of the slope formula:" After that it gets all confusing etc. The slope formula applied to DE is simply:(difference between the y coordinates) divided by (difference of the x coordinates).In this case, by construction, D and E have the same y coordinate equal to y1 / 2.Therefore the slope is zero. Using the same technique, you will find that the slope of segment AC is also zero (by construction obviously since point A is the origin (0,0) and point C is on the x-axis. Therefore:The slope of segments DE and AC is not 0. = INCORRECTSegments DE and AC are parallel by construction. = CORRECT (they have the same slope)The coordinates of D and E were found using the Midpoint Formula. = CORRECTThe coordinates of D and E were found using the slope formula. = INCORRECT Very confusing problem, but I hope this helps!
6/12 is equal to 6 over 12 or .5 or 1/2 when reduced
Triangle inequality theorem:
In any triangle, the length of any side must be:
- less than the sum of the lengths of the other two sides.
- greater than the difference of the lengths of the other two sides.
For the problem you have:
x must be greater than 8.0 - 2.5 and less than 8.0 + 2.5
5.5 < x < 10.5
17] The distance, x, between the farmhouse and water tower will be given by:
Tan θ=opposite/adjacent
adjacent=opposite/tan θ
thus:
x=500/tan 12-500/tan 16
x=500/0.2126-500/0.2868
x=608.61 yd
~609 yd
Answer: D] about 609 yd
18] The angle of depression will be:
tan θ=opposite/adjacent
thus
tan θ=0.5/13
tan θ=0.0385
θ=arctan 0.0385
θ=2.2°
19] This will be evaluated like #17 above.
Tan θ=opposite/adjacent
adjacent=opposite/tan θ
thus
x=95/tan 31-95/tan42
x=95/0.6009-95/0.9004
x=52.598
~53
answer: A] about 53
20] The horizontal length will be calculated as follows:
sin θ=opposite/hypotenuse
opposite=73 m
hypotenuse=177 m
thus
sinθ=73/177
sinθ=0.4124
θ=arcsin 0.4124
θ=24.357~24.4°
Answer: D]24.4°