Answer: D. ( -7, - 2 )
Step-by-step explanation:
Rewrite this in vertex form and use this to find the vertex. ( h, k )
Answer:
x = 14.6
ZA = 30.8
ZB = 33.2
Step-by-step explanation:
First, solve x: (knowing all angles of a triangle are 180º)
116º + (2x + 4)º + (3x-13)º = 180º
116 + 2x + 4 + 3x - 13 = 180
2x + 3x = 180 + 13 - 4 - 116
5x = 73
x = 73/5 = 14.6
ZA = 3*14.6 - 13 = 30.8
ZB = 2*14.6 + 4 =33.2
Test:
116º + 33.2º + 30.8º = 180º
Perimeter- 14x+6
Just add al the sides up like normal
Area- 12x^2+9x
Multiply the length and width
C)
Perimeter- 118
Area- 840
I’m pretty sure these are right
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.