The answer to this is y=13
Answer:
Since the area of your base is 15, we multiply 15 by 10 since 10 is the height and 15 is the area of the base to get 150, now we divide by 3 since we are multiplying 150 x 1/3 = 50.
Formula of triangular pyramid:
1/3 x BH
In this case 15 is your base and 10 is your height
15 x 10 x 1/3(basically just dividing by 3) = 50
Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
