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Answer:
(7, 0) and (3,0)
Step-by-step explanation:
On the graph, the parabola crosses the x-axis at two points. The two points are called the roots. And since they cross at (7, 0) and (3, 0), they are our roots. Hope this helps!
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
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In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
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Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
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Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
Answer:
I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.
Step-by-step explanation:
The formula for a cone is
From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:
Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:
Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:
If I knew the radius. I could get the answer by dividing both sides by the radius.
Good luck!
Answer: 26 inches
Step-by-step explanation:
The hypoteneuse is the longest side in a triangle. From the question, we are already informed that a triangle has one leg of 24 inches and one leg of 10 inches.
To calculate the hypotenuse, we add the square of both legs together which are the opposite and adjacent and then find the square root. This will be
hypotenuse² = 24² + 10²
hypotenuse² = 576 + 100
hypotenuse² = 676
hypotenuse = ✓676
hypotenuse = 26
The hypothenuse is 26 inches
