Answer:
x=10
Step-by-step explanation:
16+2x=36
subtract 16 from both sides
2x=20
divide 2 from both sides
x=10
6x+3x+8=35
Step 1: Simplify both sides of the equation.
6x+3x+8=35
(6x+3x)+(8)=35(Combine Like Terms)
9x+8=35
9x+8=35
Step 2: Subtract 8 from both sides.
9x+8−8=35−8
9x=27
Step 3: Divide both sides by 9.
9x
9
=
27
9
x=3
Answer:
x=3
12w−5−3w=40
Step 1: Simplify both sides of the equation.
12w−5−3w=40
12w+−5+−3w=40
(12w+−3w)+(−5)=40(Combine Like Terms)
9w+−5=40
9w−5=40
Step 2: Add 5 to both sides.
9w−5+5=40+5
9w=45
Step 3: Divide both sides by 9.
9w
9
=
45
9
w=5
Answer:
w=5
Answer:
D. 
Step-by-step explanation:
The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:
, 
(1)
Where:
- Dependent variable.
- Independent variable.
- Focus distance.
If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is .
Hence, the right choice is D.
Quick steps to solve this.
1. Lets square both. (X +Y)*2 = 7*7
2. Then, X*2 + 2XY + Y*2 = 49
3. Since XY is given to 4, X*2 + 8 + Y*2 = 49
4. Move 8
5. X*2 + Y*2 = 49 - 8
6. X*2 + Y*2 = 41
The answer is "41" Boom!
