Answer:
Step-by-step explanation:
8/3=3(c+5/3)
multiply both sides by 3
8=9(c+5/3)
divide both sides by 9
8/9=c+5/3
subtract 5/3 from both sides
c=8/9-5/3
change 5/3 to 15/9
c=8/9-15/9
c=-7/9
Answer:
The equation in the slope-intercept form is:
Step-by-step explanation:
Given the equation
We know that the slope-intercept form of a line equation is
where
Writing the equation in slope-intercept form
-2(3x+5y)=10
-6x -10y = 10
Add 6x to both sides
-6x -10y + 6x = 10 + 6x
-10y = 10 + 6x
Divide both sides by -10
-10y / -10 = (10 + 6x) / -10
y = -3/5x - 1
Thus, the equation in the slope-intercept form is:
Answer:
<em>x = -2</em>
<em>y = -5</em>
Step-by-step explanation:
<u>Properties of a Parallelogram</u>
- Two pairs of opposite sides are parallel.
- Two pairs of opposite sides are equal in length.
- Two pairs of opposite angles are equal in measure
- The diagonals bisect each other.
- Adjacent angles are supplementary.
- Each diagonal divides the quadrilateral into two congruent triangles.
Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:
y + 23 = -4y - 2. And
-2x + 6 = x + 12
Solve the first equation. Adding 4y:
5y + 23 = - 2
Subtracting 23:
5y = -25
Dividing by 5:
y = -5
Solve the second equation. Subtracting x and 6:
-3x = 6
Dividing by -3:
x = -2
Solution:
x = -2
y = -5
