Let’s say that the other one is described as X. So if one piece is twice as long as the other one, it’ll be 2x.
2x + X =111
3x = 111
3x divided by 3= 111 divided by 3
X= 37
So 2x = 2(37) = 74
X = 37
74
+ 37
————
111
The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
Answer:
The fraction will increase by 100%
Step-by-step explanation:
Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):
You can see that by applying these changes, the new fraction is actually double the old fraction (i.e. will increase by 100%).
24:16 in simplest form, is.... 3:2 3 to 2
Write the equation of the circle with center (3, 2) and radius r = 7. Use the ^ key for the exponents. Write your answer as the example:
(x - 4)^2+(y+8)^2=25
