<u>Option A)</u> when y=6 and w= 2, <u>Option B)</u> when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
The given inequality is w<x<y and x>2.
<u>step 1</u>: let us <u>assume that x=3</u>, since it is given that x>2.
<u>step 2</u>: substitute the value of x=3 and each options in the inequality
<u>step 3</u>: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).
option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).
option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).
option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).
option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).
Two integers are 26 and 28
Step-by-step explanation:
- Step 1: Let the two consecutive positive integers be x and x + 2. Product = 728
x(x + 2) = 728
x² + 2x - 728 = 0
x = -2 ±√4 - 4 × 1 × -728/2 (using quadratic formula)
= -2 ±√4 + 2912/2
= -2 ±√2916/2 = -2 ± 54/2
= -56/2, 52/2
= -28, 26 (negative value is neglected)
∴ x = 26
x + 2 = 28
The rule for angles in a triangle is that they all need to add up to 180°, so you can make the three expressions equal 180 and solve:
x + 10 + x + 2 + 9x - 8 = 180
11x + 4 = 180
- 4
11x = 176
÷ 11
x = 16
So your answer is 16
I hope this helps!
AnswerTHE ANSER IS
c.6
Step-by-step explanation:x/9 = 2/3
X = 2*9/3
SO 9 gets cancelled with 3
Then
X=2*3
Therefore x = 6
Hope it helps you
Answer:
-2(21y-58)
Step-by-step explanation:
1.) Factor out -2 from the expression
2.)Distribute the three through the parenthesis
3.)distribute 5
4.)add the y’a together
5.)subtract -18-40