Answer:
c = 4
See explanation
Step-by-step explanation:
Given:
4c = 3c - 4
Your calculation:
4c = 3c + 4
4c = 4 - 3c
4c = 1c
c = 4/1
c= 4
Correct calculation:
4c = 3c + 4
Collect like terms by subtracting 3c from both sides
4c - 3c = 3c + 4 - 3c
c = 4
Check:
4c = 3c + 4
4(4) = 3(4) + 4
16 = 12 + 4
16 = 16
Therefore,
Your final answer is correct but your method of calculation is not correct
Answer:
The system is dependent:
x=-3t-7
y=-5t-15
z=t
Step-by-step explanation:
I chose to use a matrix to solve this system of equations. Once put into matrix form, you need to row reduce the system into its simplest form (Row Reduced Echelon form). Doing this, we find that the system is dependent on the z variable. And following usual procedures, we let z equal some other letter; which is t in this case. Then we isolate each variable to get the answer.
Check the attachment for the work.
[The arrows indicate a row swap and the parenthesis indicates addition if a constant multiple of one row to another]
Answer:
Option D
Step-by-step explanation:
Given are the four options and we have to select the one which is not good defintion.
A)A whole number is even if and only if it is divisible by 2.
--- Is correct definition of even number.
B. A whole number is odd if and only if the number is not divisible by 2.
--- Correct definition
C. An angle is straight if and only if its measure is 180.
... correct definition
D. A ray is a bisector of an angle if and only if it splits the angle into two angles
... This is incorrect because congruent/equal angles should be there
Correct definition is
A ray is a bisector of an angle if and only if it splits the angle into two congruent angles
The values of m and n are 
and 
Explanation:
The two equations are 
and 
From the equation , we shall find the value of m such that
Substituting the value of m in , we get,
Subtracting both sides by 3,
Dividing both sides by 2, we get,
Substituting in
Thus, the values of m and n are and
Answer:
none of the above
x = 8, y = 6 . . . . . . . may be intended to match the first choice
Step-by-step explanation:
In order for the figure to be a parallelogram, the two marked angles must be congruent, as must be the two marked sides.
<u>Angles</u>:
3y +5 = 6y -13
18 = 3y . . . . . . . . . add 13-3y
6 = y . . . . . makes the marked angles 23°
<u>Sides</u>:
4x -17 = 2x -1
2x = 16 . . . . . . . . . add 17-2x
x = 8 . . . . . makes the marked sides 15 units
