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masha68 [24]
3 years ago
11

I need help with #12 b

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

y = 2x -33

Step-by-step explanation:

The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).

The slope of the radius is ...

... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2

The slope of the tangent is the negative reciprocal of that, so is ...

... m = -1/(-1/2) = 2

In point-slope form, the tangent line through (16, -1) is

... y = m(x -h) +k

... y = 2(x -16) +(-1)

Simplifying, this is ...

... y = 2x -33

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Guys im giving max points for this, please give me a correct answer and best gets brainliest.
lukranit [14]

Answer:

y=-2/3 x +4

Step-by-step explanation:

slop = (6-0)/(-3-6)= -2/3

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y= mx + c

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4 0
3 years ago
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denis23 [38]

Answer:

x = -2, proven below.

Step-by-step explanation:

3x + 7 + 2(4x+1) = 3(x-1) - 4

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3 years ago
Michaela is training for a race. She runs 5 miles in 52 minutes. Her goal is to run 6 miles in 1 hour. By how many minutes per m
Leya [2.2K]

Answer:

2 min

Step-by-step explanation:

she runs 5 miles in 52 min

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and 6 mile = 60 min

6 0
2 years ago
What's the probability of pulling two red cards in a row from a deck of cards?​
monitta

Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

If we pick one out, there are only 51 total cards left and 25 red cards. So, the probability of picking one again would be 25/51.

We multiply the probabilities of these two events to find the probability of them both happening.

1/2×25/51=25/102

The probability of picking two red cards in a row is 25/102 or around 24.5%.

Have a wonderful day! :D

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