Answer:
7
Step-by-step explanation:
edge
Answer:
-i/2
Step-by-step explanation:
Recall that i² = -1.
z² + 1 factors into (z + i)(z - i), and so the original expression reduces as follows:
z - i 1
--------------- = --------- for z not equal to i
(z + i)(z - i) z + i
Now attempt to find the limit as z approaches i of the above rational fraction. The limit is
1 1 1
--------- = ------ which, if rationalized, becomes ------- (-i), or -i/2
i + i 2i 2
Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Answer: 17
Step-by-step explanation:
Use the Pythagorean theorem.
C^2 = A^2 + B^2
So, C is always the hypotenuse which is the longest side length and the side length diagonal of the right angle. Side "s" is the hypotenuse.
Square sides AB and BD
It looks like this:
C^2 = 8^2 + 15^2
8^2 = 64
15^2 = 225
225 + 64 = 289
the square root of 289 is 17
17 = s
