Answer:
b. (2,0)
Step-by-step explanation:
To find which ordered pair is a solution, we have to replace then into the equation, and the result has to be an identity, that is, 0 = 0.
Equation:
Option a:
, so 
Not an identity, so this ordered pair is not a solution.
Option b:
, so 
Identity, and thus, the correct answer is given by option b.
Answer:
2.96 = 2 96/100 = 2 24/25
Answer:
(x+4)(x+4)
Step-by-step explanation:
The middle number is 8 and the last number is 16. Factoring means we want something like (x+_)(x+_). We need two numbers that add together to get 8 and multiply together to get 16. The number 4 works perfectly in this equation. That's why (x+4)(x+4) is the factor of the equation x^2 + 8x + 16.
Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
Answer:
88 centimeters is the diameter of the cilinder
Step-by-step explanation:
The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter
Since pressure P=F/A And P1=P2
F1=2000kg.g
A1=π*r²
F2=25kg.g
A2=π*0.05²
2000/(π*r²)=25/(π*0.05²)
and we solve for A1
r²=2000*0.05²/25
r=
20*0.05/5=0.44m or 44cm
This is the radius, meaning that the diameter will be twice this number
