Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 
, 0) and (x₂, y₂ ) = (0, 
)
m = 
= 
= 
and c = , then
y = x + ( multiply through by 4 to clear the fractions )
4y = 2x + 3 ( subtract 4y from both sides )
0 = 2x - 4y + 3 , that is
2x - 4y + 3 = 0 ← equation of line
The number you thought of was 5
Step-by-step explanation:
You thought of a number
- Doubled it
- Then added 3
- The result multiplied 4
- The answer was 52
Assume that the number was x
∵ The number = x
∵ The number was doubled
- Double means multiply it by 2
∴ The result = 2x
∵ You added 3
∴ The sum = 2x + 3
∵ You multiplied the sum by 4
∴ The product = 4(2x + 3)
∵ It came 52
∴ 4(2x + 3) = 52
- Simplify it
∴ 4(2x) + 4(3) = 52
∴ 8x + 12 = 52
- Subtract 12 from both sides
∴ 8x = 40
- Divide both sides by 8
∴ x = 5
The number you thought of was 5
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Answer:
12 ft - 2 ft = 10 ft
The rope is 10 feet long.
10 · cos 30° = 10 · √3 / 2 = 8.66 ft
x = 12 - 8.66 = 3.34 ft
Answer:
A ) 3.34 feet
