Answer:
The total of ways the buildings can be painted are = 4 
3 2 2 1 = 48 ways.
Step-by-step explanation:
i) color five buildings that are in a row.
ii) any two neighboring buildings must be different colors
iii) the first third and fifth buildings must be different colors.
iv) the number of ways to paint the fist building are 4.
v) the number of ways to paint the second building are 3.
vi) the number of ways to paint the third building are 2.
vii) the number of ways to paint the fourth building are 2.
viii) the number of ways to paint the last building are 1.
ix) therefore the total of ways the buildings can be painted are
= 4 3 2 2 1 = 48 ways.
Answer:
Step-by-step explanation:
(1,8) (-1,-2)
Slope: (-2-8)/(-1-1) = -10/-2 = 5
y -8 = 5 (x - 1)
y - 8 = 5x - 5
y = 5x +3
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
96/4=24 beads in 1 bracelet
beads in 7 bracelets = 24*7=168
the formula for the perimeter of a rectangle is
P= 2(L+W)
with L representing length and W representing width
since we have the perimeter and the length, we can plug the values into the equation to find W
346 = 2(92+w)
346 = 184 + 2W
162 = 2W
81 = W
the width of the field is 81 yards.
hope this helped!
