Answer:
{1,6}
Step-by-step explanation:
the second box is always where the y values/range are
Answer:
(x +4)^2 -45
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)^2 = x^2 +2ax +a^2
That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.
To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:
x^2 +8x +16 -29 -16
(x^2 +8x +16) -45 . . . . group the terms that make the square
(x +4)^2 -45 . . . . rewritten after completing the square
Step-by-step explanation:
(given)
Let us consider :
= 
= 
=
=
=
Now, by substituting the above considerations in the above equation, we get:
where,
1
then it follows
n = 20
r = 4
then no. of solutions for the eqn = 
= 
= 10626
Answer :
no. of solutions for the eqn 10626
Answer:
AB = √37
BC = 2√5
AC = √41
Type: SCALENE TRIANGLE
Step-by-step explanation:
Given the coordinates
A(1, –9), B(0, –3), C(–4, –5)
We are to find the length of each sides first. Using the formula for calculating the distance between two points, we will have;
For A(1, –9) and B(0, –3)
AB = √(-3+9)²+(0-1)²
AB = √6²+(-1)²
AB = √36+1
AB = √37
For coordinates B(0, –3) and C(–4, –5)
BC = √(-5+3)²+(-4-0)²
BC= √(-2)²+(-4)²
BC = √4+16
BC = √20
BC = 2√5
For coordinates A(1, –9), C(–4, –5)
AC = √(-5+9)²+(-4-1)²
AC= √(4)²+(-5)²
AC = √16+25
AC = √41
<em>Since the sides of the triangles are all different, hence the triangle is a SCALENE triangle</em>