Does a=2.1 b=7.2 c=7.5 form a right triangle

Yes

Step-by-step explanation:

If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle

longest side = 7.5

7.5² = 56.25

2.1² + 7.2² = 4.41 + 51.84 = 56.25

Thus the 3 values form a right triangle.

Yes, the three measurements form a right angled triangle

Step-by-step explanation: A right angled triangle can be solved by the Pythagoras theorem, that is, when one side is missing. The formula is

AC^2 = AB^2 + BC^2

(The square of the longest side equals to the sum of the square of the other two sides)

Where AC is the longest side and AB and BC are the other two sides.

In the question given, the longest side is 7.5, and so substituting for the values, we can write out the Pythagoras theorem as follows;

7.5^2 = 7.2^2 + 2.1^2

56.25 = 51.84 + 4.41

56.25 = 56.25

Since the Left Hand Side equals to the Right Hand Side, then the dimensions given in the question forms a right angled triangle

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.

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.