HURRY NEED HELP NOW 42 POINTS NEED 1 PARAGRAPH FOR EACH QUESTION there are 2 photos I put up and that where the questions are.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

4 0

1. All you have to do to find the area of the figure. IS first find the area of the rectangle. This is easy because all you have to do is base times height.

22 x 17 = 374

Now to find the area of the triangle all you have to do is do base times height like a rectangle, but then divide it by 2 afterwords.
19 x 12 = 228 ÷ 2 = 114.

Now add the two area's together:

374 + 114 = 488.

Just do the same with the one below, I've altered the pic a bit to make it easier.

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If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy

Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

$log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved$