Answer:
Option 2: (x-4)^2 + (x-5)^2 = 4
Step-by-step explanation:
The given circle's center is: (4,5)
And the radius is 4 units.
We are told in the question that the center will remain same only the radius will be changed.
The center is denoted by (h,k) = (4,5) and radius is 2
Standard equation of circle is:
(x-h)^2 + (y-k)^2 = r^2
So the equation of another circle with same center and radius of 2 units will be:
(x-4)^2 + (x-5)^2 = 2^2
(x-4)^2 + (x-5)^2 = 4
Hence option 2 is correct ..
Answer:
a) b ≈ 100
b) m ≈ 30
Step-by-step explanation:
Line 3 because all of the y values are equal to 5
Answer:
64.8 in
Step-by-step explanation:
The pipe is 324 in and you cut in in two. Since we know that one piece is five times the length of the other, we can make the equation 324=5x. Divide both sides by five gets us 64.8 = x.
To check our work, let's multiply 64.8 by 5. It does equal 324 so we are correct.
Answer:
The product of (-5·q·r) × (-2·p·q·r) × p·q is 10·q³·r²·p²
Step-by-step explanation:
The question relates to the rules of multiplication of variables and indices rules, and simplifification of an expression ;
The given expression is (-5·q·r) × (-2·p·q·r) × p·q
Therefore, we have;
(-5·q·r) × (-2·p·q·r) × p·q = (-5) × (-2) × q×q×q × r×r ×p×p = 10 × q³ × r² × p²
10 × q³ × r² × p² = 10·q³·r²·p²
∴ (-5·q·r) × (-2·p·q·r) × p·q = 10 × q³ × r² × p² = 10·q³·r²·p²
(-5·q·r) × (-2·p·q·r) × p·q = 10·q³·r²·p².
