Step-by-step explanation:
Statement. Reason
→ 9(x-6)+41 = 75. Transposing the like terms.
→ 9(x-6) = 75 - 41 Performing subtraction of the term in RHS
→ 9(x-6) = 34 Performing multiplication in LHS.
→ 9x - 54 = 34 Distributive property
→ 9x = 34 + 54 Performing addition of the term in RHS.
→ 9x = 88. Now, transpose 9 from LHS to RHS , it's arthmetic operator will get changed.
→ x = 88/9
Answer:
-3
Step-by-step explanation:
4x is the slope and the + or - always is the y intercept. also this would be a linear equation :)
They can both be correct because if 0 is the turning point their answers are the same
Answer:
10701.97 feet.
Step-by-step explanation:
Refer the attached figure
The angle of elevation of a point, A, at the top of a cliff is 21° i.e. ∠ACB = 21°
The ship has sailed 2,500 feet directly toward the foot of the cliff i.e. CD = 2500 feet.
Then the angle of elevation becomes 47° i.e.∠ADB = 47°
Let BD be x
So, BC = BD+DC=x+2500
Let the height of the cliff be h feet.
In ΔABD
We will use trigonometric ratios
---a
In ΔABC
We will use trigonometric ratios
-----b
Equate a and b
Thus the height of the cliff is 10701.97 feet.
This is an algebraic equation. First we have a square the width is X
The length is L=3X-2. P (perimeter is 44)
Therefore P = 2L+2X
= 2(3x-2) + 2x
= 6x - 4 + 2x
= 8x - 4
44+4=8x
x=48/8
x=6
Ans: Width is 6 metres and length is 16 metres
