Answer:
r=6
Step-by-step explanation:
6/11=r/11
cross product
11*r=6*11
11r=66
r=66/11
r=6
We have three similar triangles, let's see if we can get this right, right vertex first, then other vertex from small side:
EDF ~ GDE ~ GEF
As ratios that means
ED:DF:EF = GD:DE:GE = GE:EF:GF
x:20:y = 5:x:GE = GE:y:15
Since we're after y we choose
20/y = y/15
20(15) = y²
y² = 300
y = 10√3
y ≈ 17.32
Answer:
Recursive formula is: 
Explicit formula is: 
Step-by-step explanation:
We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27
In the given sequence First term a₁= -1
Common difference d = 7
Finding Recursive Formula
The recursive formula is of type:
and 
Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:
Finding Explicit Formula
The explicit formula is of type: 
We have
First term a₁= -1
Common difference d = 7
So, explicit formula will be:
So, explicit formula is:
Answer:
he would make 12 phone calls
Step-by-step explanation
so he talks three minutes each time he is on the phone so divide 37 by 3 to get 12.33 with the .33 repeated but you have to round down to 12 because you have to have a whole number for the calls but even if the number was 12.79 you cant round up to 13 because the number has to be over 13
Answer:
x = 4±sqrt(19)
Step-by-step explanation:
Assuming you meant x^2 -8x = 3
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16= 3+16
The number inside the square term is the coefficient divided by 2
(x-4)^2=19
Take the square root of each side
sqrt((x-4)^2=±sqrt(19)
x-4 = ±sqrt(19)
Add 4 to each side
x-4+4 = 4±sqrt(19)
x = 4±sqrt(19)
