Answer:
I think its A but not 100 percent sure
Step-by-step explanation:
If you would like to write the expression in math, you can do this using the following steps:
a number X ... X
12 times a number X ... 12 * X
subtracted from 34 ... 34 -
is greater than eight ... > 8
34 - 12 * X > 8
34 - 8 > 12 * X
26 > 12 * X /12
X < 26/12
X < 13/6
X < 2 1/6
The correct result would be X < 2 1/6.
Answer:
The vector that describes their hike from their starting position to their final destination is ![\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%207%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
.
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>
![\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BA%7D%20%3D%203%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>
![\vec r_{B} = 4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BB%7D%20%3D%204%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
(1)
![\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%283%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%29%2B4%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is .
9514 1404 393
Answer:
- f(x) = x² -3
- g(x) = 6x +7
- h(x) = 3^x
Step-by-step explanation:
f(x) is copied from the problem statement.
g(x) is a symbolic representation of the English wording, using x to represent "a number."
h(x) is the exponential function that corresponds to the geometric sequence in the table. It has a common ratio of 3, and a multiplier of 1 at x=0.
If it has to be perpedicular to y = x, then the slope has to be -1/x because perpedicular slope is the opposite reciprocal. Now plug what you know into the point slope formula.
y - 2 = -1/1 (x - 4)
***** Since -1/1 is the same as -1, it can be rewritten as -1. ****************
y - 2 = -1 (x - 4)
Now distribute -1 times x and -4.
y - 2 = -x + 4
Add 2 to both sides to get y by itself.
y = -x + 2
Your answer should be:
y = -x + 2
