Tell whether the triangle with the given side lengths is a right triangle

not a right triangle

Step-by-step explanation:

The Pythagorean Theorem states that If a triangle is a right triangle,

the hypotenuse^2 will equal to shorter^2 + longer^2

hypotenuse = 18, shorter side = 4, longer side = 17

18^2 = 4^2 + 17^2

324 = 16 + 289

324 = 305

That is false, therefore the triangle is not a right triangle

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Step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

yes

step-by-step explanation:

yes