Answer:
4 units
Step-by-step explanation:
A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?
A triangle is a polygon with three sides and three angles.
The distance between two points
on the coordinate plane is given by:
![Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:
![DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units](https://tex.z-dn.net/?f=DF%3D%5Csqrt%7B%28-1-3%29%5E2%2B%28-3-%28-3%29%29%5E2%7D%3D4%5C%20units)
Answer: b
Step-by-step explanation:
if u stop imports then u have money
No it is not, the tickets go up by 5 each time, but the fee changes the number that it goes up each time. Does that make sense?
a.
In order to find the common ratio, we just need to divide a term by the term that comes before it.
So using the terms 20 and -5, we have:
![\text{ratio}=\frac{20}{-5}=-4](https://tex.z-dn.net/?f=%5Ctext%7Bratio%7D%3D%5Cfrac%7B20%7D%7B-5%7D%3D-4)
b.
The recursive rule can be found with the formula:
![a_n=a_{n-1}\cdot q](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%5Ccdot%20q)
Where an is the nth term and q is the ratio. So we have:
![a_n=a_{n-1}\cdot(-4)](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%5Ccdot%28-4%29)
c.
The explicit rule can be written as:
![a_n=a_1\cdot q^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20q%5E%7Bn-1%7D)
Where an is the nth term, a1 is the first term and q is the ratio. So:
You could split it into five triangles to find the area.