Marina G.

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Spanish

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Question:

How do I conjugate a Spanish command?

Marina G.

Answer:

There are two different conjugations for formal and informal commands. Let's take the verb 'hablar' to use as our first example. For the informal positive command, remove the r from the verb to get 'habla'. For the informal negative command, since it is an -ar verb, change the conjugation to an 'e' and add an 's' to get 'no hables'. For the formal positive command, again change the -ar verb to an 'e' and remove the 'r' to get "hable". For the formal negative command, simply put a 'no' in front of the formal positive command to get 'no hable'. This pattern can be applied to all commands (with a few irregular exceptions), changing -ar verbs to 'e' and -er/-ir verbs to 'a'.

Geometry

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Question:

The measure of one supplementary angle is half the measure of the second. What is the measure of each angle?

Marina G.

Answer:

Supplementary angles=180º Let x=one angle The other angle must = 1/2x So, x + 1/2x = 180 Combine like terms: 1 + 1/2 = 3/2 ----> 3/2x = 180 Isolate x: 2/3 • 3/2x = 180 • 2/3 x = 120 One angle = 120 Other angle = 120/2 = 60 Check Answer: 120 + 60 = 180

Algebra

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Question:

How do I use substitution to solve a system of equations?

Marina G.

Answer:

Example: x-2y= 14 and x+3y=9 Solve for x in terms of y: x-2y=14 ----> x= 14+2y Plug in this value for x into other equation: x+3y=9 ------> 14+2y+3y=9 Combine like terms: 14+5y=9 Solve for y: 5y = -5-----> y = -1 Plug back into first equation and solve for x: x-2(-1)=14 ---> x+2=14 ----> x=12 Check solutions: 12-2(-1)=14 ----> 14=14 and 12 + 3(-1 =9 -----> 9=9

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