Answer:
The change in the value of Dave's shares = $ 105
Step-by-step explanation:
Total number of shares = 15
Let initial value of a share = x
On Monday, the value of each share rose = $ 2
Now the value of each share = x + 2
Total value of 15 shares on Monday = 15 (x + 2) -------- (1)
On Tuesday the value of each share fell = $ 5
Now the value of each share = x - 5
Total value of 15 shares on Tuesday = 15 (x - 5) --------- (2)
The change in the value of Dave's shares = 15 (x + 2) - 15 (x - 5)
⇒ 15 x + 30 - 15 x + 75 = 105
⇒ Thus the change in the value of Dave's shares = $ 105
Answer:
D, x = 3
Step-by-step explanation:
to know if a line is parallel, we need to know what kind of line x = 6 is
we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:
Vertical line
Undefined slope
X axis
Horizontal line
0 is the slope
Y axis
according to this, the equation x = 6 is a vertical line
now we can start eliminating answer choices
A. a line containing the point (6,2)
the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this is not parallel to the line
B. y = 6
this intersects x = 6 and is not parallel
C. y = 4
this intersects x = 6 as well and is not parallel
D. x = 3
this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer
Answer: The parallel line will have the same slope as the original line.
The slope of the original line is 1. 0-(-6)/6-0 is 6/6.
Try (0,-3) and (3,0) or (-6,0) and (0,6) for a parallel line.
The perpendicular line will be the reciprocal and will have the opposite sign,
In this example, the slope is 1. 1 is the reciprocal of itself. The opposite sign makes the slope of the perpendicular line -1
Step-by-step explanation: The slope is rise/run.
Get the coordinates by going from left to right. Farthest Left is the First Coordinate.
The rise is the Difference in y-values: take the y of the second coorodinate, y₂ and subtract the y-value of the first coordinate, y₁ This is the numerator, the top of the fraction.
The denominator is the run, the difference in x-values. Take the x-value of the second coordinate x₂ and subtract the x-value of the first coordinate.
The angles x and 55.1 degrees are COMPLEMENTARY ANGLES. Please look up that term if necessary.
Subtract the angle 55.1 degrees from ( what? ) to obtain angle x.
It is X=2 you have to see where it touched line