Simplifying
2c + 3 = 3c + -4
Reorder the terms:
3 + 2c = 3c + -4
Reorder the terms:
3 + 2c = -4 + 3c
Solving
3 + 2c = -4 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
3 + 2c + -3c = -4 + 3c + -3c
Combine like terms: 2c + -3c = -1c
3 + -1c = -4 + 3c + -3c
Combine like terms: 3c + -3c = 0
3 + -1c = -4 + 0
3 + -1c = -4
Add '-3' to each side of the equation.
3 + -3 + -1c = -4 + -3
Combine like terms: 3 + -3 = 0
0 + -1c = -4 + -3
-1c = -4 + -3
Combine like terms: -4 + -3 = -7
-1c = -7
Divide each side by '-1'.
c = 7
Simplifying
c = 7
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We know that a = b and c = 30
Since b + 30 = 90, we know b = 60.
That means a = 60
a = 60
b = 60
c = 30
Answer:
Table A and Graph A
Step-by-step explanation:
See the attached tables and graphs.
Table A gives the ordered pairs (1,2), (2,4) and (3,6).
Take the first two pairs of points.
The equation of the straight line passing through those points will be
⇒ y = 2x
Therefore, the table A represents the equation y= 2x.
Now, as shown in graph A, the points (0,0) and (1,2) and (2,4) through which this equation of straight line passes.
Therefore, the equation y = 2x is represented by graph A.
Hence, Table A and Graph A are the answers.
Answer:
5
Step-by-step explanation:
We can find the slope of a line given two points by using the following formula
m = ( y2-y1)/(x2-x1)
= (4- -6)/(-2 - -4)
= ( 4+6)/(-2+4)
= 10/2
= 5
