Step-by-step explanation:
Similar figures have same ratio of corresponding sides.
Set up ratios and solve for x.
#1
- x / 54 = 6 / 36
- x / 54 = 1/6
- x = 54/6
- x = 9
#2
- x / 4 = 99 / 11
- x / 4 = 9
- x = 4*9
- x = 36
#3
- x / 10 = 6 / 60
- x / 10 = 1/6
- x = 10/6
- x = 5/3
#4
- x / 4 = 28 / 7
- x / 4 = 4
- x = 4*4
- x = 16
Direct variation is y=kx where k is a constant
the fiest way to see if it is direct or not, is if x increases, then y increases as well,
then we see if y=kx is valid, basically if we have a constant of variation
the first one x increase and y increase
see if same constant
y=kx
-4.5=-3k
1.5=k
so
see next one
-1 and 3
-3=-1(k)
-3=-1(1.5)
-3=-1.5
false
not it
2nd is increase and y decrease, so not direct variation
3rd is x is same but y increase so nope
4th is x increase and y increase, now test the constant
-7.5=-3k
2.5=k
-1 and -2.5
-2.5=-1k
-2.5=-1(2.5)
-2.5=-2.5
true
answer is last option
Answer:
Factored form of the expression is ( x+ 8)(x + 6).
Step-by-step explanation:
The given expression is x² + 14x + 48.
We have to convert the expression in factored form
x² + 14x + 48 = x² + 8x +6x + 48
= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)
Therefore the factored form of the expression is (x + 8)(x + 6).
Answer:
3 over 8
Step-by-step explanation:
The total of box numbers is 8 and there are 3 white boxes. So, the total goes on the bottom and the amount of white boxes goes on top.
Hope this helped!
