Subtract 49 from both sides
x^2= -49
x= -49 in square root
x=7
Answer:
₂₁C₉ = 293930
Step-by-step explanation:
9 members out of 21 senators will be selected on the subcommittee on Economy Policy
So we are in case of combinations of 21 people in groups of 9
₂₁C₉ =21! /( (21-9)!) *9! ⇒21*20*19*18*17*16+15*14*13*12! /(21-9)! *9!
=21*20*19*18*17*16*15*14*13/ 9! ⇒ = 19*2*17*15*14*13/6 ⇒ =293930
Answer:
y = 4x
Step-by-step explanation:
When we say that x and y "vary directly", we mean that they have the relationship: y = kx, where k is a "constant of proportionality".
Here, we want to know what k is, so we plug 4 in for x and 16 in for y:
y = kx
16 = k * 4
k = 16/4 = 4
Thus, our equation is y = 4x.
Answer:
C
Step-by-step explanation:
Add 10x to both sides:
-10x - 135 = 117 + 2x
-10x - 135 + 10x = 117 + 2x + 10x
-135 = 117 + 12x
Subtract 117 from both sides:
-135 - 117 = 117 + 12x - 117
-252 = 12x
Divide both sides by 12:

-21 = x
So the answer is C.
Hope this helps!
Answer:
43in
Step-by-step explanation:
Perimeter = sum of the sides
Perimeter = 11 + 10 + 10 + 12 = 43