Answer:
72, 73, 74
Step-by-step explanation:
x + x+ 1 + x + 2
3x+3=219
subtract 3
Given:
The two vectors are:
To find:
The value of 
.
Solution:
We have,
The cross product of these two vectors is:
![\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)]](https://tex.z-dn.net/?f=%5Coverrightarrow%7Ba%7D%5Ctimes%20%5Coverrightarrow%7Bb%7D%3D%5Chat%7Bi%7D%5B%28-1%29%285%29-%281%29%28-3%29%5D-%5Chat%7Bj%7D%5B%282%29%285%29-%281%29%281%29%5D%2B%5Chat%7Bk%7D%5B%282%29%28-3%29-%28-1%29%281%29%5D)
![\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1]](https://tex.z-dn.net/?f=%5Coverrightarrow%7Ba%7D%5Ctimes%20%5Coverrightarrow%7Bb%7D%3D%5Chat%7Bi%7D%5B-5%2B3%5D-%5Chat%7Bj%7D%5B10-1%5D%2B%5Chat%7Bk%7D%5B-6%2B1%5D)
Now the magnitude of the cross product is:
Therefore, the value of is 
.
Step-by-step explanation:
2(x + 5) + 6x = 8x + 10
2x + 10 + 6x = 8x + 10
8x + 10 = 8x + 10
Since this equality is true for any real values of x, there are infinitely many solutions for x.
The best answer here is "Many Solutions".
f(x) = 6x
To find the inverse, replace f(x) with Y:
y = 6x
Now switch the variables:
x = 6y
Solve for Y by dividing both sides by 6:
y = x/6
Now replace y with f^-1 (x):
f^-1 (x) = x/6
Answer:
y + 4 = a(x - 7)^2
Step-by-step explanation:
The standard vertex form of a parabola with vertex at (h, k) is
y - k = a(x - h)^2
and if we start with the simplest case, y = a(x)^2 and translate its graph 7 units to the right and 4 units down, we get y - {-4] = a(x - 7)^2, or
y + 4 = a(x - 7)^2
