Answer:
x = -5
Step-by-step explanation:
Multiply 3 by (6x - 4x) = 18x - 12x
18x - 12x = -30
6x = -30
x = -30 /6
x = -5
2 m - polyester fabric: 4, cotton fabric: 14
6 m - polyester fabric: 12, cotton fabric: 42
8 m - polyester fabric: 16, cotton fabric: 56
9 m - polyester fabric: 18, cotton fabric: 63
check:
2 m: 4/14=2/7
6 m: 12/42=2/7
8 m: 16/56=2/7
9 m: 18/63 = 2/7
Answer:
(2, -10)
Step-by-step explanation:
so first i find the axis of symmetry using the equation x= -b/2a
in this problem
a=3
b= -12
c= 2
- (-12)/ 2(3) = 2
2 will be the x point for your vertex
you then plug in your x point into the original equation and solve for y
y = 3(2)^2 - 12(2) +2
y = -10
Vertex is then (2, -10)
The sum of the interior angles of a hexagon is 720 degrees. If 3 angles are congruent, each with measure x degrees, and the other 3 angles are also congruent to each other, each with measure 2x degrees, then the total sum of all 6 angles would be 3x + 3(2x) = 9x. If this is equal to 720, then x = 80 degrees, while 2x = 160 degrees.
Therefore, there are 3 80-degree angles and 3 160-degree angles.
Answer: 5x + 2y = -2
Step-by-step explanation:
Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6
A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.
Substitute (-2, 4) in and get 4=5+b, so b = -1.
Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.
Hope that helped,
-sirswagger21
