The sum of 25 and twice a number is 75. Find the number.
2 answers:
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Answer:
Perimeter of first triangle = 102.73
Perimeter of 2nd triangle = 123.27
Step-by-step explanation:
Dividing the area of two triangle we can find the square of the scale factor:
= 1.44
Scale factor will become = = 1.2
Sum of perimeter of triangle = 226dm
perimeter of triangle = x + y + z = p
perimeter of first triangle = 1.2(x + y + z) = 1.2p
perimeter of 2nd triangle = (x + y + z) = p
Permieter of first triangle + Perimeter of second triangle = 226
1.2(p) + p = 226
2.2p = 226
p = 102.73 // This is the perimeter of 2nd triangle
For finding permieter of first triangle, multiply it with 1.2
102.7 * 1.2 = 123.27 // This is the perimeter of 1st triangle
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
The answer is:
The explanation is shown below:
1- You have the following expression given in the exercise:
2- When you multiply signs, you obtain:
3. Now, you must add like terms, as following:
4. Therefore, you have that the expression simplified is: