The slope intercept form is y=mx+b. m is the slope, b is the y intercept,
From the given problem, I gather that there are only two groups of forces. These are:
13 lb, 35 lb, resultant force 30 lb
20 lb, 15 lb, resultant force 25 lb
We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.
Resultant Force = √(a² + b²)
So, for the first group,
30 ? √(13² + 35²)
30 ≠ 37.33
Thus, the first group does not pull at right angles to each other.
For the second group,
25 ? √(20² + 15²)
25 = 25
Thus, the second group does pull at right angles to each other.
Answer:
Since we are talking annual interest and, I assume a time period of 1 year:
The interest earned is the sum of the interest earned on the two loans separately
Let x = amount loaned at 14%
18,500-x = amount loaned at 12%
I = prt
p = x and 18500-x
r = 0.14 and 0.12
t = 1
2390 = 0.14x + 0.1(18500-x)
2390 = .14x + 1850 - 0.1x
x = 13500
x = $13,500 loaned at 14%
18500-x = $5,000 loaned at 12%
s = 4
h = 3
C = ?
C = s(3h + 5)
C = 4(3·3 + 5)
C = 4(9 + 5)
C = 4(14)
C = ?
ANSWER: It costs 56 dollars
Answer:
(2, 5)
Step-by-step explanation:
P = (2, -5)
Rotating the figure 180° clockwise about the origin means the x-coordinate of P will be negative and the y-coordinate of P will become positive as the figure is rotated from quadrant IV to quadrant II.
Therefore P' = (-2, 5)
Then if it is translated right 4 units, the x-coordinate of P' will be -2 + 4 = 2
So P'' = (2, 5)
<u>Attached diagram</u>
Black = original figure
Blue = rotated 180° clockwise about the origin
Red = translated right 4 units