Answer:
One solution (-1,2)
Step-by-step explanation:
Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.
To find that solution, we can simply set the equations equal to each other.
y = -x + 1
y = 2x + 4
-x + 1 = 2x + 4
-3 = 3x
-1 = x
Now plug that value back into one of the equations:
y = -x + 1
y = -(-1) + 1
y = 2
So now you know the crossing for these two equations occurs at (-1,2).
Cheers.
Ratio of Nickel to Zinc:
( 2/7 ) = ( Nickel /4.9)
Nickel = 1.4 lbs.
Ratio of Copper to Zinc:
( 9/7 ) = ( Copper /4.9)
Copper = 6.3 lbs.
Alloy = Zinc + Nickel +
Copper
Alloy = 4.9 lbs. + 1.4 lbs.
+ 6.3 lbs.
Alloy = 12.6 lbs.
Hope
this answer will be a good h<span>elp for you.</span>
Answer:
$6.23
Step-by-step explanation:
5.56*1.12=6.2272
Answer: Area of Parallelogram is 28 units squared.
Step-by-step explanation:
Knowing, any two vector sides of a parallelogram sharing the same initial point, we can find the area of parallelogram that two vectors are shaping, using the cross product of these two vectors a×b, where the area is given by
Area= |a×b| ___ (1)
From the given points,we may choose any three of them such and find a two vector and expresses the sides of parallelogram " or one side and a diagonal of parallelogram" ,we may choose for example B ,C and D.
Moreover, we may choose point B, to be common point for the two sides " the initial point of two vector" thus we need to find vector BD and vector BC .
Calculations are given in picture.
Answer:
9.4m is the answer.
Step-by-step explanation:
a = 8m
b = 5m
c = ?
According to the Pythagoras theorem,
a² + b² = c²
8² + 5² = c²
64 + 25 = c²
89 = c²
c = 9.433
Rounding off,
c = 9.4m