1. Nintendo
2. A. True
3. A. Oscilloscope
First we need to find the lengths of vector u and v. We can find this by distance formula:
![u= \sqrt{ (9-17)^{2} + (-12-5)^{2} }=18.79](https://tex.z-dn.net/?f=u%3D%20%5Csqrt%7B%20%289-17%29%5E%7B2%7D%20%2B%20%28-12-5%29%5E%7B2%7D%20%7D%3D18.79%20)
and
![v= \sqrt{ (3-12)^{2} + (-2-4)^{2} }=10.82](https://tex.z-dn.net/?f=v%3D%20%5Csqrt%7B%20%283-12%29%5E%7B2%7D%20%2B%20%28-2-4%29%5E%7B2%7D%20%7D%3D10.82%20)
We need to find | 3u - 2v |, which is the absolute value of 3u - 2v.
3u = 3 x 18.79 = 56.37
2v = 2 x 10.82 = 21.64
So,
| 3u - 2v | = | 56.37 - 21.64 | = | 34.73 | = 34.73
Answer:
Step-by-step explanation:
5x + 8y = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8y' to each side of the equation.
5x + 8y + -8y = 24 + -8y
Combine like terms: 8y + -8y = 0
5x + 0 = 24 + -8y
5x = 24 + -8y
Divide each side by '5'.
x = 4.8 + -1.6y
Simplifying
x = 4.8 + -1.6y
To find the slope, you need to use the slope formula.
Find the slope using the slope formula:
![m = \frac{Y_2 - Y_1}{X_2 - X_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BY_2%20-%20Y_1%7D%7BX_2%20-%20X_1%7D)
Using the slope formula, plugin your points. I am going to use (6,9) as point 2 and (7,1) as point 1
![m = \frac{Y_2 - Y_1}{X_2 - X_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BY_2%20-%20Y_1%7D%7BX_2%20-%20X_1%7D)
![m = \frac{9 - 1}{6 - 7} = \frac{8}{-1} = -8](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B9%20-%201%7D%7B6%20-%207%7D%20%3D%20%5Cfrac%7B8%7D%7B-1%7D%20%3D%20-8)
So our slope of the line through (6,9) (7,1) is - 8
Answer:
D.
Step-by-step explanation:
2=-2,3=-3
2²=-2²,3²=3²