Answer:
The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
Step-by-step explanation:
Given the expression
solving
We know that the equations with infinitely many solutions have the same expressions on both sides
It means the value of k can be determined by further simplifying such as
8x+20-8x = k
20 = k
Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
VERIFICATION:
Given
Put k = 20 in the equation
equations with infinitely many solutions have the same expressions on both sides.
This means the statement is always true.
8.) Area= 22 squared, Perimeter= 26
9.) Area= 44 squared, Perimeter= 30
Answer:
z = 3/2 (turn it into decimal if required)
Step-by-step explanation:
Let the angle be x.
Taking x as reference angle
cosx = b/h
or, cosx= z/3
Again taking x as reference angle for the bigger triangle,
cosx = b/h
or, cosx = 3/6
or, cosx = 1/2
so, x = 60
Now,
As we found out,
cosx = z/3
or, cos60 = z/3
or, 1/2 = z/3
or, 3 =2z
so, z = 3/2
Option 2 because in option one 7.5% of $300 is $22.50 so more would be put in if he chose the second option
Okay so we have
$1.60 x .10 = .16
1.60 - .16 = $1.44
so
1.44 x 4 = $5.76
1.44 / 2 = .72
$5.76 + .72 = $6.48
so your answer is $6.48 [B]