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grigory [225]
3 years ago
8

Hello there! Can I get someone help please ? Thanks!

Mathematics
1 answer:
natulia [17]3 years ago
4 0
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.

a.  12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5  This is also know as a Pythagorean Triple 5-12-13

b.  a^2 + 9^2 = 12^2
     a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7

c.   6^2 + 9^2 = c^2
    36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
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The blue line...
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slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
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red line...
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there is a y int at (0,4)
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this inequality is :
y = -3x + 4
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3x + y < = 4 ...this is ur inequality

summary :
ur 2 inequalities are : 
x + 2y < = 5 and 3x + y < = 4


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Step-by-step explanation:

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°ω° Hope this helps :)

Good luck bud :D

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