Find the vertex, focus, and directrix of the parabola. Graph the parabola.x2 - 10x - 12y + 85 = 0
A. vertex: (5, 5); focus: (2, 5);
directrix: x = 8
B. vertex: (5, 5); focus: (8, 5);
directrix: x = 2
C. vertex: (5, 5); focus: (5, 2);
directrix: y = 8
D. vertex: (5, 5); focus: (5, 8);
directrix: y = 2
Answer: D
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Provide an appropriate response.Select two ratios that form a proportion
, 
, 
, 
A. 
and 
B. 
and 
C. 
and 
D. 
and 
Use the check register find the ending balance.Christopher Zachar had a balance of src="https://sciemce.com/media/4/ppg__10622191728__f1q2g6.jpg" alt="" style="vertical-align: -4.0px;" /> Then on 
in his checking account before writing three checks and making a deposit. On 
he wrote check 
to Quick Clean for 
and check 
to Mick's Hardware for 
he made a deposit of 
and wrote check 
to Cary's Plumbing for 
Record the checks and deposit in Christopher's check register, and then find the ending balance.
A. $6077.14
B. $4834.06
C. $5465.86
D. $5311.21
An open rectangular box having a volume of 62.5in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
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Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
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Minimize f(x, y)
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x = __________
?
y = __________
?
z = __________
What will be an ideal response?
Factor completely.2y4 - 72y2
A. 2y2(y - 6)2 B. 2y2(y - 6)(y + 6) C. y2(2y2 - 72) D. 2(y2 - 6y)(y2 + 6y)