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Step-by-step explanation:
As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.
=> (1/2)m = - 1
=> m = - 2
Thus, required line is
=> y - (-8) = (-2)(x - 3)
=> y + 8 = -2(x - 3)
Answer: x² + y² - 2x - 8y + 13 = 0
Step-by-step explanation:
the equation of the circle is in the form (x - a)² + (y - b)² = r²
where (a,b) is the center of the circle and r is the radius
hence the equation is
(x - 1)² + (y - 4)² = 2²
x²-2x+1+y²-8y+16= 4
x²+ y² -2x- 8y + 17 =4
x² + y² - 2x - 8y = -13
x² + y² - 2x - 8y + 13 = 0
Answer: 140 ml
Explanation:
let x be the original amount of water
x - 15% = 119
But x = 100% because it’s the original
=> 100% - 15% = 119ml
85% = 119ml
Find the amount of water in 15%:
85% = 119
15% = y
=> 85/15 = 119/y
Cross multiply:
85y = 15 x 119
85y = 1785
y = 1785/85
y = 21
But y = 15% therefore, 15% = 21ml
Back to our equation:
x - 15% = 119ml
x - 21ml = 119ml
x = (119 + 21)ml
x = 140ml
Therefore, the original amount of water is 140ml
The 24 cubes would weigh exactly 6 pounds.
