First let’s find the equation:
a = (42-21)/(26-13)
a= 21/13
y-y1 = a(x-x1)
y-21=(21/13)(x-13)
y-21=(21/13)x - 21
y=(21/13)x-21+21
y=(21/13)x

Now we will find the other point:
X = 2 >> y =(21/13)*2 = 3.23 (not)
X = 3 >> y =(21/13)*3 = 4.84 (not)
X = 4 >> y =(21/13)*4 = 6.46 (not)

X = 5 >> y =(21/13)*5 = 8.07 (yes) find the answer

7 0

3 years ago

Could 7.7 cm, 4.0 cm, and 1.7 cm be the side lengths of a triangle?

Sedbober [7]

Triangle Inequality Theorem: States that the sum of any two sides of a triangle is greater than the length of the third side; $A+B>C\\B+C>A\\A+C>B$

So for this, we are applying the triangle inequality theorem. If any of the inequalities are not true, then this cannot be a triangle. (Let A = 7.7, B = 4.0, and C = 1.7)

$7.7+4.0>1.7\\11.7>1.7\ \textsf{(true)}\\\\4.0+1.7>7.7\\5.7>7.7\ \textsf{(false)}\\\\7.7+1.7>4.0\\9.4>4.0\ \textsf{(true)}$