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sesenic [268]
3 years ago
10

Show that the curve x = 7 cos(t), y = 5 sin(t) cos(t) has two tangents at (0, 0) and find their equations.

Mathematics
1 answer:
elena-s [515]3 years ago
8 0
Y= 5 y =7 thats the smaller slip and larger
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3. In the figure below, find the values of x, y, and z.
Murrr4er [49]

Answer:

z= 13

x= 36

y= 18

Step-by-step explanation:

Solving for z.

We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.

We can set both of those angles equal to each other, and solve for our missing side, z.

108= 8z+4

104=8z

z= 13

Solving for x.

We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.

We can set both of these angles equal to each other, and solve for our missing side, x.

3x=108

x= 36

Solve for y.

We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.

4y+108=180

4y= 72

y= 18

3 0
2 years ago
Find the location of the center of a circle if the endpoints of the diameter are at (-10,
Artyom0805 [142]

Answer:

(- 1, - \frac{1}{2} )

Step-by-step explanation:

The centre is located at the midpoint of the diameter.

Using the midpoint formula , then

centre = \frac{-10+8}{2}, \frac{-5+4}{2} ) = ( \frac{-2}{2}, \frac{-1}{2} ) = (- 1, - \frac{1}{2} )

7 0
3 years ago
Quincy is building a tower out of blocks that are each 5/6 of an inch in height. He decides
adoni [48]

Answer:

90 inches tall

Step-by-step explanation:

5/6 of 12 is 10 so the blocks are 10 inches tall each 10x9 is 90

5 0
2 years ago
Determine the standard deviation of the data below. (1, 2, 3, 4, 5)
Burka [1]

Answer:

\sqrt{2} or 1.414

Step-by-step explanation:

1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3

2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)

3) Sum the values from Step 2. 10

4) Divide by the number of data points. 10/5= 2

5) Take the square root. \sqrt{2}

4 0
3 years ago
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