Answer:
(5x²+3)(2x-7)
Step-by-step explanation:
As stated, this is a factor by grouping question: a(x+y)+b(x+y)=(x+y)(a+b)
10x³-35x²+6x-21
first, look for common factors.
-35x² and -21 have the common factor of -7
10x³and 6x have the common factor of 2x
now, rearrange the polynomial
10x³+6x-35x²-21
factor 2x out of 10x³+6x
2x(5x²+3)
factor -7 out of -35x² and -21
-7(5x²+3)
Now, the polynomial is 2x(5x²+3)-7(5x²+3)
(5x²+3) is common in both parts, so factor that out, 2x-7 would be another expression as that is left.
now, the expression is
(5x²+3)(2x-7)
Hope this helps!
P(cube lands on 4 = 1/6
P(coin lands on heads) = 1/2
P( both) = 1/6 * 1/2 = 1/12 <===
Step-by-step explanation:
3(-30x - 15y = -30) ...........(i)
15(6x + 3y = 6) ..............(ii)
Now,
-90x -45y = -90
90x +45y = 90
_____________
Every term is cancelled. so this system has no any solution so it means solution does not exist (DNE)
Answer:
m∠P = 29
Step-by-step explanation:
Straight line is 180 so:
56 + x = 180
x = 124
So m∠Q is 124 and a triangle is 180 so now:
124 + 27 + h = 180
151 + h = 180
h = 29
m∠P = 29
Answer:
set two equation of line y=ax+b and y=cx+d
when these two lines are perpendicular to each other, then a*c=(-1)
x-2y=2
=>x-2=2y
=>(1/2)x-1=y
set the answer is y=ax+b
we can know that a/(1/2)=(-1)
=>a=-2
bring a=-2 and(7,-7) in y=ax+b
-7=(-2)*7+b
=>b=7
the answer is y=-2x+7