4.3d+7.5=5.8d
-4.3d -4.3d
7.5=1.5d
/1.5 /1.5
5=d
The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.
x² -3x +9/4 = (x -3/2)²
_____
If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
The first one is y=4x+-11. The second one is y=-5/2x+2
Answer:
x + y = 14
Step-by-step explanation:
Parallel lines have the same slope, so the line's slope will be -1.
Plug this slope and the given point into y = mx + b to find b:
y = mx + b
4 = -1(10) + b
4 = -10 + b
14 = b
Then, plug this and the slope into y = mx + b
y = -x + 14
Then, put this into standard form by moving the x to the other side:
x + y = 14 is the equation in standard form
Answer:
20
Step-by-step explanation:
The pattern goes
+3, +4, +5, +6, +7...
14+6=20
The missing number is 20
