Answer: Choice D) ordered pair is <u>not</u> a solution to the second equation
We can see this by replacing x and y with 1 and -4 respectively
2x + y = 4
2*1 + y = 4 .... replace x with 1
2*1 + (-4) = 4 ... replace y with -4
2 - 4 = 4
-2 = 4 .... this equation is false because -2 and 4 are different values
The last equation being false means that the original equation 2x+y = 4 is also false when (x,y) = (1,-4). Therefore, this ordered pair is not a solution to the second equation 2x+y = 4
A solution to the system must make BOTH equations true simultaneously, not just one.
Answer:
x = 
Step-by-step explanation:
note that 64 =
and 32 =
, thus
=
, that is
= 
= 
Since the bases on both sides are equal, then equate the exponents
12x - 6 = 5x + 5 ( subtract 5x from both sides )
7x - 6 = 5 ( add 6 to both sides )
7x = 11 ( divide both sides by 7 )
x = 
Answer:
The length of CD is 8 units
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
According to the Right Triangle Altitude Theorem,

substitute the given values


solve the quadratic equation by graphing
The solution is x=8 or x=-6
see the attached figure N 2
Discard the negative length.
therefore
The length of CD is 8 units
Step-by-step explanation:
Solve the bracket first. starting with multiplication and then subtraction
0.00035 + (4.2 x 10-5)
0.00035 + (42-5)
0.00035 + 37
0.01295