Firstly the lines around -14 mean the "absolute value" which means, ignore the sign , it will be always positive. So, 3 (14) is 42.
Now let's go for the 8-11 = -3
now when you cube this number, the result will be negative.
-3 x -3 x -3 = -27.
however, there is a negative sign outisde the brackets, so - (-27) = + 27..
so the result so far is +27 +42 = 69
Now below the line, we have 2^4 = 2 x 2 x 2 x 2 or 4 x 4 = 16 , and then -7 which is 9.
So, what we end up with is 69/9
Answer:
w = 15 cm
Step-by-step explanation:
We want to find the width, as the area of a rectangle is length (l) * width (w).
Since we know the area and the length, we have 480 = 32w
Isolating w by dividing both sides by 32 gives us w = 15 cm
X - 10 = 25
add 10 to both sides
X = 35
There are 8 weeks and 18 books. therefore you would multiply these numbers together.
the answer would be 144 different combinations.
not sure about the permutation or combination notation, but I got you on the first part!
Answer:
difference in area = 16 ft²
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
Step-by-step explanation:
Jacks rectangular patio
width = a
length = 2a - 1
area = lw
where
l = length
w = width
area = 120 ft²
a(2a - 1)
2a² - a - 120 = 0
(a - 8) (2a + 15)
a = 8 or -15/2
Ron's rectangular patio
width = a
length = a + 5
area = lw
area = 104 ft²
a (a + 5) = 104
a² + 5a -104 = 0
(a + 8) (a - 13)
a = -8 or 13
How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,
120 - 104 = 16 ft²
The value 8 or 13 can be used for a since the width a have to be the same.
if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft
if you use 13 the difference i length will be 25 - 18 = 7 ft
