Answer:
The measure of angle A is
Step-by-step explanation:
we know that
Applying the law of cosines
substitute the values and solve for cos(A)
Let's find out the gradient (Slope " m ") of line q ;
Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :
Now, plug in the value of gradient ~
here we can clearly observe that, the Area under the curve can easily be represented as :
Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q
Answer:
C. Infinitely many solutions.
Step-by-step explanation:
-4x - 7 + 10x = -7 + 6x
Combine like terms on the left side. Rearrange the right side.
6x - 7 = 6x - 7
Add 7 to both sides.
6x = 6x
Subtract 6x from both sides.
0 = 0
0 = 0 is a true statement.
Both sides are equal, so all real values of x make the equation true.
Answer: C. Infinitely many solutions.
Answer:
8+x if x > -8
8 if x = 0
-8-x if x < -8
Step-by-step explanation:
|14−(6-x)|
|14−6+x|
|8+x|
8+x if x > -8
8 if x = 0
-8-x if x < -8
So first create and define your variables:
Z = amount of zebra fish
N = amount of neon tetras
Now create your equations:
2z+2.15n=31.20
z+n=15
This is your system. There are multiple methods to use but in this problem I’ll use the substitution method by simplifying the bottom equation.
2z+2.15n=31.20
z=15-n
Now I’ll plug the bottom equation into the top one.
2(15-n)+2.15n=31.20
And just solve from here.
30-2n+2.15n=31.20
0.15n=1.20
n=8
So he bout 8 neon tetras, and 15-8= 7, so he bought 7 zebra fish