7 . X + 2y = 4 (move x beside 4, since it's positive it will be negative)
2y = 4 - X (divide terms to 2)
| 2y ÷ 2 = y | 4 ÷ 2 = 2 | -X ÷ 2 = -1/2 (There's always an imaginary 1 beside x, only just x).
y = 2 - 1/2x (rearrange terms)
y = -1/2x + 2
9. -2x + 3y = -6 (move -2x beside -6, since it's negative it will turn into a positive)
3y = -6 + 2x (divide by 3)
y = -2 + 2/3x (rearrange)
y = 2/3x -2
11. 5x - 2y = 14
-2y = 14 - 5x (-2 ÷ -5x is 5/2x, but since numerator and denominator are negative, fraction turns positive)
y = -7 + 5/2x
y= 5/2x - 7
13. 4x + 3y = 12
3y = 12- 4x
y = 4 -4/3x
y = -4/3x + 4
15. x + 3y = -3
3y = -3 -x
y = -1 -1/3x
y -1/3x - 1
There you go!
Just remember those steps and you should be fine :)
B. square root of 64 plus square root of 4
Which statement best describes the two expressions?
A. Both are rational.
B. Both are irrational.
C. A is rational, but B is irrational.
D. A is irrational, but B is rational.
Answer:
There is 120 milligrams of caffeine in a cup of coffee.
Step-by-step explanation:
A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. A cup of tea has 66 milligrams of caffeine.
Let the amount of caffeine in a cup of coffee be = x
In the equation form, we can denote this as:
Solving for x
x = 120
Therefore, there is 120 milligrams of caffeine in a cup of coffee.
b) (y-1)^2 = 20(x-3)
c) (y-1)^2 = -20(x-3)
d) (x-3)^2 = 20(y-1)
Answer with Step-by-step explanation:
We have to find:
the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2
General form of Parabola that opens left or right:
(y−k)²=4p(x−h)
Vertex =(h,k)
Directrix: x=h−p
Here, h=3,k=1 and h-p=-2 i.e. p=h+2=5
Hence, equation of parabola in this case equals
(y-1)²=4×5(x-3)
i.e. (y-1)²=20(x-3)
Hence, correct option is:
b) (y-1)²=20(x-3)
Answer:
D. 2/11
Step-by-step explanation:
For all Plato users.