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The first two graphs are D) and D).
For the last one (above), the triangles are not congruent (D), because C --> C' doesn't follow the same translation rule as A, B --> A', B'
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 ..
X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20------------------------------- Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.
Answer:
A) 16
Step-by-step explanation:
1st sequence: 72-8x
2nd sequence: 58-6x
Set both sequences equal to each other and solve for x:
72-8x=58-6x
14-8x=-6x
14=2x
7=x
x=7
Plug x=7 back into the equation:
72-8(7)=58-6(7)
72-56=58-42
16=16
So the first number that appears in both sequences is 16.
