simplified original equation: y=-9/5x+13.2
perpendicular slope: 5/9
equation passing through (-6,8): y-(8)=5/9(x-(-6))
y=mx+b form: y = 5/9x + 14
Answer:
Option a. 196 m²
Step-by-step explanation:
Volumes of two similar solids are 1728 m³ and 343 m³
So the ratio of these volumes =
Now we know volume is a three dimensional unit so we find the cube root of the ratio of the volumes to find the ratio of sides.
Scale factor =
Now we know area of solids is a two dimensional unit so we will square the scale factor and this will be the ratio of area
(Scale factor)² = = (Surface area of smaller solid)/(surface area of larger solid)
Area of larger solid = 576 m²
Surface area of of the smaller solid = 196 m²
Option A. is the answer.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.
The net income formula:
y= (5 - 4)x - 120
(5-4)= contribution margin per unit sold (x)
120= fixed costs
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / 1
Break-even point in units= 120 units
Prove:
y= 1*120 - 120
y= 0
The solution to the equation 42 = 8m + 13m is m = 2.
Here, we have,
To solve the equation 42 = 8m + 13m, you can combine like terms and isolate the variable "m".
Here's how you can do it step by step:
Combine the like terms:
42 = (8 + 13)m
Simplify:
42 = 21m
Divide both sides of the equation by 21 to isolate "m":
42/21 = (21m)/21
Simplify further:
2 = m
Therefore, the solution to the equation 42 = 8m + 13m is m = 2.
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Answer: You need to separate the variable (A) from the rest of the equation.
Step-by-step explanation:
Simplify and move everything except the variable
2x2 = -6 + 8a >>> 4 = -6 + 8a >>> 10 = 8a
Then, divide both sides by the amount of A (8)
10 / 8 = 1.25
8 / 8 = 1
1.25 = A