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ExtremeBDS [4]
3 years ago
8

prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x^2 + y^2 = 5, i ha

ve 3/5 marks and i tried with perpendicular gradient.

Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0

Answer:

I dont even know

Step-by-step explanation:

too complicated

Kamila [148]3 years ago
5 0

Answer:

You have to use the discriminant b^2 -4ac =0 because lines that cut a circle only once are tangents.

Step-by-step explanation:

I think you can use the perpendicular gradient, but it'll be more tedious because then you'll have to prove that the line touching the circle is perpendicular to the line from the centre to the circle to the point of intersection. You'll have to form an equation using the coordinates of the centre of the circle and the point of intersection. You probably had a careless mistake/ calculation error in this process.

Instead, try

1. equating the line to the circle (which you did), then

2. let the coefficient of x^2 be a, the coefficient of x be b, and the constant terms be c.

3. simplify b^2-4ac

3. prove that b^2-4ac=0 because there is only one real and distinct root, hence there is only one point of intersection.

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irina [24]

Answer:

The distance between the end of the ramp and the bottom of the platform is about 9.8 feet

Step-by-step explanation:

use the pythagorean theorem (a²+b²=c²) to solve

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plug in given values:

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solve for x:

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4 0
3 years ago
It took team rise over run 1 2/3 hours to hike 4 2/3 miles. What is their average speed in miles per hour?
pogonyaev

To find their average miles per hour we can divide the total miles by the hour used:

4 2/3 ÷ 1 2/3

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In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.

=14/3 x 3/5

Factorize 3 in both amounts:

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Therefore their average speed is 2.8 miles/hour.

Hope it helps!

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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130% = 130/100 = 1.3

130% of 45 = 1.3*45 = 58.5

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Answer:

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Read 2 more answers
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