Step-by-step explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees

7 0

3 years ago

Solve x2 + 8x − 3 = 0 using the completing-the-square method.

lisabon 2012 [21]

$(a+b)^2=a^2+2ab+b^2\\------------------\\\\x^2+8x-3=0\ \ \ |add\ 3\ to\ both\ sides\\\\x^2+2x\cdot4=3\ \ \ |add\ 4^2\ to\ both\ sides\\\\x^2+2x\cdot4+4^2=3+4^2\\\\(x+4)^2=3+16\\\\(x+4)^2=19\iff x+4=-\sqrt{19}\ or\ x+4=\sqrt{19}\\|subtract\ 4\ from\ both\ sides\\\\\boxed{x=-4-\sqrt{19}\ or\ x=-4+\sqrt{19}}$

3 0

3 years ago

Read 2 more answers

Please help for both questions

scoundrel [369]

Answer:

B, A

Step-by-step explanation:

In the first equation, if an unknown number plus 17 equals 66, then what step would you take?

For example, if an unknown number plus 2 equaled 3, then you would know that number is 1, right? What steps did you take to get that? You subtracted 2 from both sides.

In this example, if x + 17 = 66, then subtracting 17 from both sides gets us x = 49.

The same applies for the second example. If x minus 54 equals 125, then you would add 54 to get x = 179.

4 0

2 years ago