Answer:
x-y=4
Step-by-step explanation:
(y+4)/(1+4) = x/5
(y+4)/5 = x/5
y+4 = x
-x+y= -4
x-y = 4
Answer:
54+6x
Step-by-step explanation:
6(9+x)
Distribute the 6 to each term inside the parentheses
6*9 + 6*x
54+6x
Answer:
Scale factor: 3/2
Step-by-step explanation:
- ABCD is similar to DEFG
- We need to find DEFG from ABCD
- If we multiply values on ABCD by 3/2, then we get DEFG
- So, the scale factor is 3/2
L = w + 6
w = l - 6
h = w - 5
h = l - 11
V = lwh
V = l(l - 6)(l - 11)
But V <= 50
therefore,
l^3 - 17l^2 + 66l - 50 <= 0
since all the coefficients add to 0, 1 is a root. Therefore, it can be factored into:
(l-1)(l-8+sqrt(14))(l-8-sqrt(14))<= 0
but at the extremes,
h >= 0
l -11 >= 0
l >= 11
therefore, considering this,
we can see that
11 <= l <= 8 + sqrt(14)
11 - 6 <= l - 6 <= 8 + sqrt(14) - 6
5 <= w <= 2 + sqrt(14)
(In cm)