Remember that to solve an equation we need to isolate the variable in one side. To do it we can perform any mathematical operations we want as long as we perform the operations to both sides of the equation.
Let's solve our equation step by step
Step 1. Subtract from both sides of the equation
Step 2. Subtract 3 from both sides of the equation
Step 3. Divide both sides of the equation by
We can conclude that the next step is: subtract 3 from both sides of the equation.
Answer:
neither
parallel
neither
Step-by-step explanation:
y=-5/2x-5 ≅ 5x+2y=-10
Answer:
44 square units
Step-by-step explanation:
The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula
If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:
Putting it altogether:
So the area of our trapezoid is 44.