Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
If you are looking to find the value of x then you have to use distributive property.
1st: multiply -3 by 2x and 4 -3(2x+4)
-6x -12
2nd: do the same thing on the other side which is multiply 3 by x and -6
3(x-6)
3x-18
3rd: Then you have -6x-12=3x-18
+12 +12
add 12 to each side so then you have -6x=3x-6
then divide by -6 on each side and the answer is x= 2/3
Answer:
Step-by-step explanation:
45x = 9*5*x
81 = 9*9
GCF = 9
Take 9 out using distributive property { a*b - c*b = b*(a-b)}
45x - 81 = 9*5x - 9*9
= 9*(5x - 9)
=9(5x-9)
PEMDAS
you would do left to right and look for multiplication or division.
64/2= 31
31*16=512
Answer:
C) 2 × 3 × 5
Step-by-step explanation:
Volume of a cuboid = lbh = 30 cm³
A) 1 × 1 × 5 = 5 cm³ ≠ 30 cm³
B) 5 × 10 × 15 = 750 cm³ ≠ 30 cm³
C) 2 × 3 × 5 = 30 cm³ ✔
D) 1 × 2.5 × 4 = 10 cm³ ≠ 30 cm³
=》The correct option is C) 2 × 3 × 5 as it makes 30 cm³, which is the required volume.
Hope it helps ⚜
