Step-by-step explanation:
26. x²+5x+25/4 = (x + 5/2)²
29. x²/4y²-2/3+4y²/9x² = (x/2y - 2y/3x)²
Answer:
Step-by-step explanation:
Reasons
2. If two lines are parallel, their corresponding angles are congruent.
3. Congruent angles are equal... Why do they even have this step?
4. A straight line forms a linear pair.
5. Angles in a linear pair are supplementary.
6. ∠1 is supplementary to ∠3. Reason: If an angle is congruent to an angle that is supplementary to a third angle, the first and third angles are congruent OR Transitive Property.
<h3>
Answer: B) $1.75</h3>
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Explanation:
To get the unit cost, we divide the total cost over the number of pounds.
We can do this for any row
- row one: ($17.50)/(10) = $1.75
- row two: ($35.00)/(20) = $1.75
- row three: ($52.50)/(30) = $1.75
- row four: ($70.00)/(40) = $1.75
You don't need to show all four row calculations. You can simply pick one row.
This tells us that each pound costs $1.75
Put another way: the price is $1.75 per pound
Answer:
-11(-12)=132
Step-by-step explanation:
First divide 132 by negative 11 and get -12.
Then you connect -12 into the equation by using paraenthisies so its not a mess.
Last check your answer. -11 times -12 is equal to positive 132.
The tangent to 
through (1, 1, 1) must be perpendicular to the normal vectors to the surfaces 
and 
at that point.
Let 
. Then is the level curve 
. Recall that the gradient vector is perpendicular to level curves; we have
so that the gradient of 
at (1, 1, 1) is
For the surface , we have
so that 
. We can obtain a vector normal to by taking the cross product of the partial derivatives of 
, and evaluating that product for 
:
Now take the cross product of the two normal vectors to and :
The direction of vector (24, 8, -8) is the direction of the tangent line to at (1, 1, 1). We can capture all points on the line containing this vector by scaling it by 
. Then adding (1, 1, 1) shifts this line to the point of tangency on . So the tangent line has equation
