Answer:
a)The component form is
b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:
We substitute the position vectors to get:
We subtract the corresponding components to obtain:
This gives:
This simplifies to:
The magnitude of a vector in the component form:
is
This means:
This simplifies to:
c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>
Answer:
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Step-by-step explanation:
Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.
Representamos:
Primer número = x
Segundo número = y
Tercer número = z
Se sabe que la suma de tres números es 850.
x + y + z = 850 ...... Ecuación 1
El primero es un tercio del segundo
x = 1/3 años
El tercer número es el doble del segundo.
z = 2 años
Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1
1 / 3y + y + 2y = 850
y / 3 + 3y = 850
Multiplica ambos lados por 3
y + 9y = 850 × 3
10 años = 2550
y = 2550/10
y = 255
Resolviendo para x
x = 1/3 años
x = 1/3 × 255
x = 85
z = 2 años
z = 2 × 255
z = 510
Por eso,
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Answer:
5/8 * pi r^2
Step-by-step explanation:
First , you find the full area of the circle
A = pi r^2
Then multiply by the fraction that you want to find
5/8 * pi r^2
Answer:
20
Step-by-step explanation:
The real answer is 20.428, so rounded it's 20
This is the equation for a circle which without numbers looks like (x – h)^2 + (y – k)^2 = r^2
This means that the radius is the square root of what ever number the equation is equal to. Since in this case it is 4 the square root of 4 is 2
The center of the circle is baced off h and k. In order to find where each one of them go, you would do the opposit of the number that is with them. With this equation the opposit of 4 is -4 so it will go -4 in the x direction and the opposit of -7 is 7 so it would go 7 in the y direction
Radius: 2
Center: (-4,7)
