Answer:
(3, -2)
Step-by-step explanation:
Find the midpoint coordinates (x, y) of points A(2, - 5) and B(4, 1)
x-coordinate of the midpoint is (2+4)/2 = 6/2= 3
y-coordinate of the midpoint is (-5+1)/2 = -4/2= -2
The mid point coordinates are (3, -2)
Answer:
q = 14
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Complementary Angles: Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>The 2 angles must add up to 90°.</em>
(4q - 5)° + 39° = 90°
<u>Step 2: Solve for </u><u><em>q</em></u>
- Combine like terms: 4q + 34 = 90
- Subtract 34 on both sides: 4q = 56
- Divide both sides by 4: q = 14
First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.
To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

Answer:
13/42
Step-by-step explanation: