Answer:
![T_n=-1(-5)^n^-^1](https://tex.z-dn.net/?f=T_n%3D-1%28-5%29%5En%5E-%5E1)
Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;
![T_n=a_1r^n^-^1](https://tex.z-dn.net/?f=T_n%3Da_1r%5En%5E-%5E1)
where
is the first term and r is the common ratio;
In this case;
![a_1=-2](https://tex.z-dn.net/?f=a_1%3D-2)
r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;
![T_n=-1(-5)^n^-^1](https://tex.z-dn.net/?f=T_n%3D-1%28-5%29%5En%5E-%5E1)
Thus, the nth term is ![T_n=-1(-5)^n^-^1](https://tex.z-dn.net/?f=T_n%3D-1%28-5%29%5En%5E-%5E1)
Answer:
C
Step-by-step explanation:
Given
![\frac{5x^2+8x+7}{4x}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%5E2%2B8x%2B7%7D%7B4x%7D)
Divide each term on the numerator by 4x
=
+
+ ![\frac{7}{4x}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4x%7D)
=
+ 2 + ![\frac{7}{4x}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4x%7D)
7. D
8. D
9. D
10.C
for 7 & 8 you use the equation
![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
your points are (3,8) & (9,5)
so you plug the numbers in
y2= 5
y1=8
x2=9
x1=3
you subtract them get a fraction and that is your slope
9 & 10
use the equation
![y - y1 = m(x - x1)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20m%28x%20-%20x1%29)
plug you numbers in for y1 and x2 m is your slope plug it in and that is your equation
The complete question in the attached figure
we know that
length side AB=8 units
length side DE=4 units
[ABC]=[DEF]*[scale factor]
then
[scale factor ]=[ABC]/[DEF]---------> 8/4--------> 2
the answer is
the scale factor for a dilation image of DEF to obtain ABC is 2
21/49
=3/7(divide by 7 numerator and denominator)
PLs brainliest answer