Complete the equivalent equation for –7x<span> – 60 = </span>x2<span> + 10</span>x.
(x<span> + 5</span>)(x<span> + 12) = 0</span>
What are the solutions of –7x<span> – 60 = </span>x2<span> + 10</span>x?
x<span> = -12 or -5</span>
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Answer:
Erica
Step-by-step explanation:
The given expression is 
.
The prime factorization of the first term is
The prime factorization of the second term is
The greatest common factor is product of the least powers of the common factors.
Therefore Erica is correct.
There are 116,280 ways to select the officers.
Since order is important, we use permutations:
Since we know that the perimeters are equal, we can make an equation where the sum of the side lengths of one triangle equal the sum of the side lengths of the other triangle. This yields (x-2)+(x)+(3x+1)=(2x-5)+(x+4)+(6x-7). If we combine like turns, the equation becomes 5x-1=9x-8. We can use the subtraction property of equality to isolate the x and the integers by saying 9x-5x=-1-(-8). Simplifying this gives 4x=7 or x=1.75
Hope this helps.
The values of the triangles are as follows:
- x = 7 units
- GH = 21 units
- HI = 21 units
- GI = 12 units
<h3>How to find angles and side of a triangle?</h3>
The triangle is an isosceles triangle because two sides and angles are equal. Therefore,
4x - 7 = 2x + 7
4x - 2x = 7 + 7
2x = 14
x = 14 / 2
x = 7 units
GH = 4(7) - 7 = 28 - 7 = 21
HI = 2(7) + 7 = 14 + 7 = 21
GI = 7 + 5 = 12
learn more on triangle here: brainly.com/question/21279088
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