what number should be added to the expression x^2 + 10x to change it into a perfect square trinomial?

Mathematics

2 answers:

Tamiku [17]3 years ago

6 0

Answer:

Step-by-step explanation:

In case anyone was confused the answer is 25. took the test.

Annette [7]3 years ago

3 0

Answer:

$\large\boxed{5^2=25}$

Step-by-step explanation:

$\text{Perfect square:}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+10x\\\Downarrow\\x^2+2(x)(5)\\\Downarrow\\x^2+2(x)(5)+5^2=(x+5)^2$

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Find all of the points on the x-axis which are 6 units from the point (−1, 1).

anyanavicka [17]

All the points that are 6 units from (-1, 1) are those on the circle
(x+1)^2 +(y-1)^2 = 36

For y=0, the two points of interest satisfy
(x+1)^2 +1 = 36
(x+1)^2 = 35 . . . . . . subtract 1
x+1 = ±√35
x = -1±√35

The points you seek are (-1-√35, 0) and (-1+√35, 0), about (-6.916, 0) and (4.916, 0).