Answer:
a
Step-by-step explanation:
Given
2| x - 3 | + 5 = 17 ( subtract 5 from both sides )
2| x - 3 | = 12 ( divide both sides by 2 )
| x - 3 | = 6
The absolute value function always returns a positive value but the expression inside can be positive or negative, that is
x - 3 = 6 OR -( x - 3) = 6
x - 3 = 6 ( add 3 to both sides )
x = 9
OR
-( x - 3) = 6 ← distribute left side
- x + 3 = 6 ( subtract 3 from both sides )
- x = 3 ( multiply both sides by - 1 )
x = - 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True
Hence x = 9 or x = - 3 are the solutions → a
Construct a triangle out of the points then find the midpoint of each side
Step-by-step explanation:
Split the figure into 2 parts, triangle and rectangle (I believe you know what I'm talking about)
area of triangle = 1/2 x 20 x (16-7) = 90cm^2
area of rectangle = 20 x 7 = 140cm^2
total area = 90 + 140 = 230cm^2
Topic: Mensuration
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Answer:
3 pints
Step-by-step explanation:
In this question, we are asked to calculate the amount of pints remaining if 4 pints were eaten from 3 1/2 quarts of ice-cream
To solve this problem adequately, we need to achieve a consistency in units. This means our units must be in the same vein.
First, it must be known that one quarts is equal to 2 pints. This means that 3.5 quarts will be 3.5 * 2 = 7 pints
Now, the number of pints remaining is simply 7 pints - 4 pints = 3 pints
