The statement that is not true is
B. Perpendicular lines never intersect at right angles.
The definition of perpendicular lines is that they will intersect each other at 90 degree angles.
Answer:
x intercept is (3.75, 0) and y intercept is (0, 2.5)
Step-by-step explanation:
4x + 6y - 15 = 0
x int = (3.75, 0)
0*6 = 0
4x - 15 = 0
0 + 15 = 4x = 15
15/4 = 4x
x = 3 3/4 or 3.75
y int = (0, 2.5)
0*4 = 0
6y - 15 = 0
15 = 6y
15/6 = y
y = 2.5
Answer:
The polynomial of minimum degree is
.
Step-by-step explanation:
According to the statement, we appreciate that polynomial pass through the following points:
(i)
, (ii)
, (iii)
, (iv) 
From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

We proceed to expand the expression until standard form is obtained:




If we know that
, then:



Then, the polynomial is:



The polynomial of minimum degree is
.