Answer:
Option A
Step-by-step explanation:
System of the inequalities is,
y ≥ 2x
y < x + 4
By satisfying these inequalities with the points given in the options we can get the answer.
Option (A). (2, 5)
y ≥ 2x
5 ≥ 2(2)
5 ≥ 4
True.
y < x + 4
5 < 2 + 4
5 < 6
True
Therefore, Option (1) is the answer.
Option (B) (1, 6)
y ≥ 2x
6 ≥ 2(1)
6 ≥ 2
True.
y < x + 4
6 < 1 + 4
6 < 5
False.
Therefore, it's not the solution.
Option (C) (2, 3)
y ≥ 2x
3 ≥ 2(2)
3 ≥ 4
False.
y < x + 4
4 < 2 + 4
4 < 6
True.
Therefore, It's not the solution.
Option (D) (1, 5)
y ≥ 2x
5 ≥ 2(1)
5 ≥ 4
True.
y < x + 4
5 < 1 + 4
5 < 5
False.
Therefore, It's not the solution.
Answer: The answer to your question will be -
5^√16x^4
Answer:
The answer to your question is x = 6 and y = 9
Step-by-step explanation:
Data
AB = x DF = 18
BC = 5 FE = 15
AC = 3 DE = y
Process
1.- Find y
Use proportions to find it
DE/FE = AC/BC
Substitution
y/15 = 3/5
Solve for y
y = 15(3/5)
y = 45/5
y = 9
2.- Find x
AB/DF = BC/FE
Substitution
x/18 = 5/15
Solve for x
x = 18(5/15)
x = 90/15
x = 6
To <span>transform the quadratic equation into the equation form (x + p)2 = q we shall proceed as follows:
3+x-3x^2=9
putting like terms together we have:
-3x^2+x=6
dividing through by -3 we get:
x^2-x/3=-2
but
c=(b/2a)^2
c=(-1/6)^2=1/36
thus the expression will be:
x^2-x/3+1/36=-2+1/36
1/36(6x-1)</span>²=-71/36
the answer is:
1/36(6x-1)²=-71/36
