Solve the following system by any appropriate method. If there is no real number solution, so state.4x2 + 6y2 = 54y = x + 3

A. (0, -3), ()
B. (0, -3), (- , - )
C. (0, 3), ()
D. (0, 3), (- , - )


Answer: D

Mathematics

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Evaluate the definite integral. Express the answer in terms of natural logarithms.

A.  ln
B.  ln
C. ln
D. ln 2

Mathematics

Fill in the missing vertices to give the type of polygon required, choosing vertices from those labeled on the figure. There may be more than one way to answer. If possible, use a ruler and protractor to measure lengths and angles.(i) Equilateral triangle L  (ii) Right triangle J  

style="vertical-align: -10.0px;" />(iii) Isosceles triangle K  

A. (i) LOJ and LMN
(ii) JKL
(iii) KJL
B. (i) LJK and LOM
(ii) JIP and JKL
(iii) No such triangle
C. (i) LOJ and LMN
(ii) JIO and JPL
(iii) KJL
D. (i) LOJ
(ii) JIO
(iii) KMO

Mathematics

Provide an appropriate response.Find the perimeter of a square that measures 5 cm on a side.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the system of equations.

A. (-4, -12), (-1, 0) B. (4, 20), (1, 8) C. (4, 1) D. No solution

Mathematics