Answer:
In the picture above.
Step-by-step explanation:
I hope that it's a clear solution.
Answer:
849 items.
Step-by-step explanation:
Given that the profit C (in thousands of dollars) for x thousands of items related as
As the profit is $14,000 for producing 2000 items, so
C= 14 thousand dollars and
x= 2 thousand items.
Putting C= 14 in the equation ( we have),
Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have
We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.
As the number of items cant be negative, so x= 0.849 thousand is the other number of items.
Hence, the other number of items for the same profit is 849 items.
T squared -5t=0
(T-5)(T-0) but imnot sure
<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.
</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent.
2) We know that angles PCA and PCB are right angles by the definition of perpendicular.
Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
3) PC ≅ PC by the reflexive property congruence.
The reflexive property congruence states that any shape is congruent to itself.
4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent).
CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.
<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
Yes 71 is a prime number.
