The differnce between two numbers is 33. Three times the smaller is equal to 5 more than larger. What are the numbers?
1 answer:
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Answer:
Step-by-step explanation:
To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.
Area of the square.
To calculate the area of the square you have to calculate the square of one of its sides, following the formula:
Where "a" is the length of one of its side.
The side length of the square is a=7cm, so its area will be:
Area of the triangles.
The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.
To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:
The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:
Now that the area of all shape are calculated, you have to add them to determine the area of the logo:
Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:
Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :
and replacing it in the equation, this becomes:
which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :
and replacing it in the equation, this becomes:
which is our second possible answer.
Then the set of solutions is: {-12, 12}