We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
The factor of mn+5m-3n-15 is 6m-4n-15.
Answer:
idk
Step-by-step explanation:
1/4 can also be written as .25
1 divided by 4 is .25
114 times .25 = answer
154 times .25 = answer
Answer: 6 and -1/6
Step-by-step explanation:
solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
Answer:
166.72
Step-by-step explanation:
A= 2(wl+hl+hw)
A= 2(3.2×8.5+4.8×8.5+4.8×3.2)
A= 2(27.2+40.8+15.36)
A= 2(83.36)
A= 2×83.36
A= 166.72