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EastWind [94]
3 years ago
8

Need help with my math homework

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

y = -1/2x + 3

Step-by-step explanation:

y - y₁ = m(x - x₁)

⇒ y - 0 = -1/2(x - 6)

⇒ y = -1/2x + 3

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Two trains arrived at a station at 2:55 p.m., with one arriving on track a, and the other arriving on track
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In 144 minutes, or at 5:19 pm, the trains will arrive at the same time again.
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3 years ago
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On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.
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Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

Distance \, formula = \sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}}

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

\sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}} = Distance

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

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20 I'm pretty sure it's right but if not sorry

Step-by-step explanation:

80x.2=16

16÷.8= 20

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A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold fo
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Answer:

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

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According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that  will be sold for every $1 increase in price

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Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

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