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Anton [14]
3 years ago
5

Find an equation for the line tangent to the circle x^2 +y^2=25 at the point (3, -4)

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0
Hello : 
the center of this cercle is : O( 0, 0)
calculate the slope  m of the line : OA    .. A (3,-4)
m= (yA - yO) / (xA- xO) 
m = (-4-0)/(3-0)
m= -4/3
if : k the slope of the tangent : k×m = -1   (the tangent perpendiclar of : OA)
k× (-4/3) = -1
k = 3/4
an equation of this tangent is : y - (-4) = (3/4)(x-3)

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Sheldon also picks tomatoes from his garden. He picked 4 4/10 but 1.5 were rotten and had to be thrown away. How many kilograms
velikii [3]

Given:

Number of tomatoes Sheldon picks = 4\dfrac{4}{10} kg

Rotten tomatoes = 1.5 kg

To find:

How many kilograms of tomatoes were not rotten?

Solution:

Number of tomatoes Sheldon picks = 4\dfrac{4}{10} kg

                                                            = \dfrac{4(10)+4}{10} kg

                                                            = \dfrac{40+4}{10} kg

                                                            = \dfrac{44}{10} kg

                                                            = 4.4 kg

Rotten tomatoes = 1.5 kg

Remaining tomatoes which are not rotten is

Required tomatoes = Tomatoes Sheldon picks - Rotten tomatoes

                                = 4.4-1.5

                                = 2.9 kg

Therefore, the tomatoes which were not rotten is 2.9 kg.

8 0
3 years ago
Help please!! I'm very confused
lawyer [7]

Answer:

6

Step-by-step explanation:

it goes by two so I think it'll be six , not so sure tho :)

4 0
2 years ago
URGENT!!! Write the product as a sum or difference.
CaHeK987 [17]

Answer:

3 sin(41t) - 3 sin(t)

Step-by-step explanation:

The general formula to convert the product of the form cos(a)sin(b) into sum is:

cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]

The given product is:

6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]

Comparing the given product with general product mentioned above, we get:

a = 21t and b = 20t

Using these values in the formula we get:

6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]

= 3 [sin(41t) - sin(t)]

= 3 sin(41t) - 3 sin(t)

Therefore, second option gives the correct answer

4 0
3 years ago
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Alina [70]
Answer is below.......

4 0
3 years ago
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