Answer:
x=-2 and x=0
Step-by-step explanation:
5(x-2)^2 = 20; divide by 5 both sides
(x-2)^2 = 4; take the square root of both sides
(x-2) = ±2, now set it equal to positive 2 and negative 2
x-2 = 2
x=4
AND
x-2 = -2
x=0
X ·2 = 12x - 15
2x = 12x - 15
2x + (-12x) = (12x - 15) + (-12x)
Result: x = 3/2
Step-by-step explanation:
Not entirely sure, but I believe something like this:
∠1 + ∠2 = 180° since they are a linear pair;
Since ∠1 = ∠2, we can say:
∠1 + ∠1 = 180°
2(∠1) = 180°
∠1 = 90°
And since:
∠1 = ∠2
∠2 = 90°
So the angle between t and s is 90°;
An angle of 90° means t and s are perpendicular (⊥)
Answer:
32 inches cubed
Step-by-step explanation:
Multiply the length by the width: 4*4=16
Multiply by 12: 16*1/2=8
Multiply by height: 4*8=32
Hope this helped!
Inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less
<u>
Solution:</u>
Given that
Maximum amount Jim can spend to rent a boat = $34
Rental cost of boat for 1 hour = $6
Also Jim has a discount coupon for $8 off.
Need to determine possible number of hours Jim could rent a boat.
Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"
Cost of renting boat for 1 hour = 6
So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t
Also Maximum amount Jim can spend to rent a boat = $34
As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44
So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat
=> 6t ≤ 44
On solving above equality for "t" we get ,

Hence inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less.