Answer:
Slope : -1/4
Equation: y = -x + 1/4
Step-by-step explanation:
You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.
Answer:
x = 6
Step-by-step explanation:
In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.
16x - 6 = 90
Let's solve for x:
First add 6 to both sides to isolate the 16x:
16x - 6 + 6 = 90 + 6
16x = 96
Now divide both sides by 16 to isolate the x:
16x/16 = 96/16
x = 6
The value of x has to be 6 in order for m to be parallel to n.
Answer:
![L(x)=4-x](https://tex.z-dn.net/?f=L%28x%29%3D4-x)
![L(3.9)=0.1\\L(3.99)=0.01](https://tex.z-dn.net/?f=L%283.9%29%3D0.1%5C%5CL%283.99%29%3D0.01)
Step-by-step explanation:
The linear approximating polynomial is: ![L(x) = f(a) + f'(a)(x - a)](https://tex.z-dn.net/?f=L%28x%29%20%3D%20f%28a%29%20%2B%20f%27%28a%29%28x%20-%20a%29)
Given:
at a=0
f(0)=4-0=4
f'(x)=-1, Therefore: f'(a)=-1
Therefore, the linear approximation of f(x) at a=0 is:
![L(x) = f(0) + f'(a)(x - 0)\\L(x)=4-x](https://tex.z-dn.net/?f=L%28x%29%20%3D%20f%280%29%20%2B%20f%27%28a%29%28x%20-%200%29%5C%5CL%28x%29%3D4-x)
We then use our result to approximate 3.9 and 3.99.
![L(3.9)=4-3.9=0.1\\L(3.99)=4-3.99=0.01](https://tex.z-dn.net/?f=L%283.9%29%3D4-3.9%3D0.1%5C%5CL%283.99%29%3D4-3.99%3D0.01)
Answer:
triangle b
Step-by-step explanation:
triangle b has the same dimensions and corresponding angles. which means it is a rigid transformation which is what a translation is