We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).
15*-4 = -60
Now we need to split the b term into two pieces that multiply to -60 and add to 4.
-6 and 10 will work.
Now group one part of b with the 15x^2 and the other part with -4.
(15x^2 + 10x) + (-6x - 4)
Now factor both terms.
5x(3x+2) - 2(3x+2)
3x+2 is one of our factors and 5x-2 is the other.
(3x+2)(5x-2)=0
Now just find the zeros.
3x+2 = 0
3x = -2
x = -2/3
And
5x-2 = 0
5x = 2
x = 2/5
So the answer is x = -2/3 and x = 2/5
Answer: 
Step-by-step explanation:
The first step to solve the exercise is to make the conversion from meters to centimeters.
Since 
, then the dimensions of the wood board in centimeters are:
Now, you must find the Greatest Common Factor (GCF). The steps are:
- Descompose 100 and 60 into their prime factors:
- Multiply the commons with the lowest exponents:
Therefore, the side lenght of each square must be:
Answer:
30 more
Step-by-step explanation:
hope it helps friend.
Answer:
Step-by-step explanation:
The average length of the weird trapezoidal shape on the left is
(2 m + 10 m)/2, or 6 m. The width is 4 m, so the area is 24 m^2.
The area of the semicircle is (1/2)(pi)(2 m)^2, or 2pi m^2.
Thus, the overall area of the green shape is 24 m^2 + 2pi m^2.
Answer:
21
Step-by-step explanation:
(-4)(-2)+2(6+5)
(8)+2(11)
10+11
21
Hope this helps! :)
