Answer:
2 and 10
Step-by-step explanation:
Let x be length of the small piece and y the length of the big one.
● y = 5x
Since the big piece is 5 times longer than the short one.
The total length is 12 ft
● y + x = 12
● 5x + x = 12
● 6x = 12
Divide both sides by 6
● 6x/6 = 12/6
● x = 2
So the length of the two pieces are 2 ft and 10 ft (5×2)
<span>19 − 6( − k − 2)
Distribute -6:
= 19 + 6k + 12
Combine like terms:
= 6k + 31
Answer: </span>6k + 31
Answer:
slope = x=4
the slope is undefined
Step-by-step explanation:
Answer:
Step-by-step explanation:
Brain correctly use a method of completing the square to solve the equation:
His First Step is to: Take the Constant Term to the Right Hand Side
The Next Step Would be to:
- Divide the Coefficient of x by 2
- Square It
- Add it to both Sides
In this case, the Coefficient of x = 7
- Divided by 2 =
- Squaring It, we have:
It is this number that is added to both sides in the manner below:
Answer:
44.94
Step-by-step explanation:
Use trigonometric ratios to find the unknown side.
Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.
tan(x) = opposite/adjacent
Replace the variables with given values.
tan(59) = x/27
Isolate the variable.
27tan(59) = x
Use a calculator to evaluate the answer.
x = 27tan(59) ≈ 44.94
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