Answer:
8 (5 + 3)
Step-by-step explanation:
GCF is 8. Just factor 8 out of both numbers and voila
Answer:
4x - 1 and x + 6 are the factors of given Trinomial
Step-by-step explanation:
The given Trinomial is:
![4x^{2}+23x-6](https://tex.z-dn.net/?f=4x%5E%7B2%7D%2B23x-6)
We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)
So, the above expression can be written as:
![4x^{2}+23x-6\\\\ =4x^{2}+24x-x-6\\\\\text{Taking out commons, we get}\\\\=4x(x+6)-1(x+6)\\\\ =(4x-1)(x+6)](https://tex.z-dn.net/?f=4x%5E%7B2%7D%2B23x-6%5C%5C%5C%5C%20%3D4x%5E%7B2%7D%2B24x-x-6%5C%5C%5C%5C%5Ctext%7BTaking%20out%20commons%2C%20we%20get%7D%5C%5C%5C%5C%3D4x%28x%2B6%29-1%28x%2B6%29%5C%5C%5C%5C%20%3D%284x-1%29%28x%2B6%29)
Therefore, 4x - 1 and x + 6 are the factors of given Trinomial
Answer:
THE MEAN NUMBER OF MILLILITRES REQUIRED TO NEUTRALIZE 1g OF ACID LAY BETWEEN 68.43 AND 86.96
Step-by-step explanation:
PLEASE CHECK ATTACHMENT FOR SOLUTION AND STEP BY STEP EXPLANATION
sin x = cos 54 = sin (90-54) = sin 46
Hence x = 46 deg
Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)
81-5x = 21
Or 5x = 60
Or x = 12 deg
hope it helps
Answer:
36 units
Step-by-step explanation:
Split the parallelogram into 3 shapes. Two right triangles and one rectangle.
Find the length of all the sides.
Triangle one: Triangle two:
Leg 1: 8 a^2+b^2=c^2 Leg 1: 8 a^2+b^2=c^2
Leg 2: 6 8^2 + 6^2 = c^2 Leg 2: 6 8^2 + 6^2 = c^2
Hypotenuse: ? 64 + 36 = c^2 Hypotenuse: ? 64 + 36 = c^2
100=c^2 100=c^2
c=10 c=10
Hypotenuse One: 10 units
Hypotenuse Two: 10 units
Base One Length: 8 units
Base Two Length: 8 units
Add all these numbers up and your answer would be 36 units.