Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
Answer:
33.4 m^3
Step-by-step explanation:
The edge length of the base is 1/4 of the perimeter, so is ...
(10.3 m)/4 = 2.575 m
Then the area of the base is the square of this, or ...
B = (2.575 m)^2 = 6.630625 m^2
The volume is ...
V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3
The volume of the pyramid is about 33.4 cubic meters.
Answer: 132
Step-by-step explanation:
The area of the Area of the polygon is known to be 9 units². Find more about polygon below
<h3>What is the Area of a Polygon?</h3>
The area of a polygon is one that is defined as the measurement of the given area that is known to be covered by it.
Note that to calculate the area, it will be
Area = 1/2 (5 + 1) x 3 = 9 units²
Thus the answer of 9 units is correct.
Learn more about polygon from
brainly.com/question/1592456
#SPJ1
Answer:
K=13,5
y=13,5x, x=numbers of hours
Step-by-step explanation:
To find the proporcionality constant, divide the number of milles traveled in given time.
K=54/4=67,5/5=81/6=13.5 and the equation that describes the relationship is y=13,5x