Since that angle is 45 degrees, the white triangle is an isosceles triangle. Therefore, the hight of the big triangle is equal to 12. The are of the shaded triangle is 4x12/2 = 24
Answer:
y= -1/2x-1
Step-by-step explanation:
1) put the equation in y-intercept form to find the slope of the original line 2x+4y=8
y=8/4-2x/4
y=2-1/2x
slope of second line will be -1/2
2) put point into the point-slope form (2,-2)
y-(-2)= -1/2(x-2) now simplify
y+2= -1/2x+2/2
y+2 = -1/2x + 1
y+2-2=-1/2x + 1 -2 ====>>>> y= -1/2x-1
Answer:
Yes
Step-by-step explanation:
Answer:
259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total
Step-by-step explanation:
<h3>
Answer:</h3>
- C. (9x -1)(x +4) = 9x² +35x -4
- B. 480
- A. P(t) = 4(1.019)^t
Step-by-step explanation:
1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.
2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...
... (d+43) + d = 1003
... 2d = 960 . . . . . . . subtract 43
... d = 480 . . . . . . . . divide by 2
The second voyage lasted 480 days.
3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.
Since the starting value (in 1975) is 4 (billion), the population t years after that is ...
... P(t) = 4(1.019)^t