Answer:
The coefficient of y is -2
Step-by-step explanation:
x + 2y=-6
- 2y -2y Subtract 3y from both sides
x = -2y - 6 This equation is solved for x
The coefficient of y is -2
Answer:
The required number is 63
Step-by-step explanation :
Let the number be x
Now As per question , the equation is written as
x - 23 = 2 × [ 15 - ( - 3) ] + 4
Or, x - 23 = 2 × ( 18) + 4
Or , x - 23 = 36 +4
Or, x - 23 = 40
So, x = 40 + 23
∴ x = 63
Hence the required number is 63 Answer
Answer:
Δ BEC ≅ Δ AED
Step-by-step explanation:
Consider triangles BCA and ADB. Each of them share a common side, AB. Respectively each we should be able to tell that AD is congruent to BC, and DB is congruent to CA, so by SSS the triangles should be congruent.
_________
So another possibility is triangles BEC, and AED. As you can see, by the Vertical Angles Theorem m∠BEC = m∠ADE, resulting in the congruency of an angle, rather a side. As mentioned before AD is congruent to BC, and perhaps another side is congruent to another in the same triangle. It should be then, by SSA that the triangles are congruent - but that is not an option. SSA does is one of the exceptions, a rule that is not permitted to make the triangles congruent. Therefore, it is highly unlikely that triangles BEC and AED are congruent, but that is what our solution, comparative to the rest.
Δ BEC ≅ Δ AED .... this is our solution
Well,
Slope-intercept form is given as follows:
y = mx + b
In this equation, "m" is the slope, and "b" is the y-intercept.
y = 12x + 7
We can clearly see that the 12 in the equation is the "m" in the general slope-intercept form.
Therefore, the slope of the equation is 12.
