Answer:
AB = BC = AC = 15
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate any 2 sides and solve for x , that is
AC = AB , so
11x - 7 = 6x + 3 ( subtract 6x from both sides )
5x - 7 = 3 ( add 7 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
AC = 11x - 7 = 11(2) - 7 = 22 - 7 = 15 , thus
AB = BC = AC = 15
x3 - 5x2 + 9x - 45 = 0
It is a polynomial of degree three, therefore, it has three roots.
For this case, what we can do is factorize to write the polynomial in an easier way and thus be able to find the roots.
Factoring we have:
(x - 5) (x ^ 2 + 9) = 0
x = 5
x = 3i
x = -3i
Answer:
three roots:
x = 5
x = 3i
x = -3i
on the sixth day 46 - 16 = 30 30/5 = 6
or
16+5 =21
21+5 = 26
26 + 5 =31
31+5 = 36
36 +5 =41
41 +5 = 46
Step-by-step explanation:
y = 4x - 1
2x + 2y = 3
2x + 2(4x - 1) = 3
2x + 8x - 2 = 3
10x = 3 + 2
x = 5/10
x = 1/2
y = 4x - 1
y = 4(1/2) - 1
y = 2 - 1
y = 1
(x,y) = (1/2 , 1)