Answer:
Option d is correct.
Step-by-step explanation:
We have given a formula 
We will put different values of n so, as to get 
from the given formula
When n =1 we get

When n=2 we get

When n=3 we get

We can see that next term is 3 more than the previous term
Hence, 
Therefore, Option d is correct.
Answer:
x=45
Step-by-step explanation:
We know that this is a right isosceles triangle because it has a right angle (square) and a triangle has to add up to 180 degrees so 90+x+x=180
90+2x=180
2x=90
x=45
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 8 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (6, - 6) into the partial equation
- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3
y = -
x - 3 ← equation of line k
Answer:
the answer is 30
Step-by-step explanation:
9+42:2=
9+21=
30
Answer:
3 sqrt(10)
Step-by-step explanation:
To find the distance, we use the formula
d = sqrt( ( x2-x1)^2 + (y2-y1)^2)
= sqrt( ( 2- -1)^2 + ( -4-5)^2)
= sqrt( (2+1)^2 +(-4-5)^2)
= sqrt( 3^2 +(-9)^2)
= sqrt( 9+81)
= sqrt(90)
= sqrt ( 9*10)
3 sqrt(10)