Answer:
the correct answer is d. -x + 3
Answer:
<em>The correct option is: C) 4x(3y + 7z)</em>
Step-by-step explanation:
Given expression is: 
First we need to find the GCF(Greatest common factor) of 
and 
and then we will factor out that GCF.
We can see that the common factors are: 
So, the GCF will be: 
Now factoring out 
from the given expression, we will get.....
So, the complete factorization will be: 
Answer:
123
Step-by-step explanation:
In a parallelogram, both pairs of opposite angles are congruent. Also, both pairs of opposite sides are parallel, meaning there are consecutive interior angles. Consecutive interior angles equal 180, so simply subtract 57 from 180 to find your missing angles.
Answer:
Step-by-step explanation:
If the equations are true, they can be solved simultaneously.
Consider 2x-10y=-1 as Eq1 and 5x+6y=4 as Eq2
Multiplying Eq1 with 3 and Eq2 with 5 we get,
6x-30y=-3 -- Eq3 and 25x+30y=20 -- Eq4
Adding Eq3 and Eq4,
31x=17 Therefore, x=17/31
Plugin x=17/31 in Eq3,
6(17/31)-30y=-3 --- y=13/62
Plug In values of x and y in 7x-4y we get,
7(17/31)-4(13/62) = 3
So the value of 7x-4y = 3.
Answer:
rate of the current = 2 mph
Step-by-step explanation:
d = rt
Let c = rate of the current
Rate going downstream = c + 40
Time going downstream = 126/(40 + c)
Rate going up stream = 40 - c
Time going upstream = 114/(40 - c)
Since the times are equal, then
126/(40 + c) = 114/(40 - c)
126(40 - c) = 114(40 + c)
5040 - 126c = 4560 + 114c
240c = 480
c = 2 mph
