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Rzqust [24]
2 years ago
13

What is the slope of the line tangent to the curve 3y^2-2x^2=6-2xy at the point (3 2)?

Mathematics
1 answer:
MArishka [77]2 years ago
5 0
3y² - 2x² = 6 - 2xy
6ydy/dx - 4x = 0 -2xydy/dx
6ydy/dx+2xydy/dx = 4x
(6y+2xy)dy/dx =4x
dy/dx = 4x/ (6y+2xy)
dy/dx| x=3 : = 4(3) /{ 6(2) +2×3×2}
= 12/ {12+12}
=12/24 = 1/2
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HURRY PLEASE When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6? The ratios are equivale
erma4kov [3.2K]

Answer:

The ratios are equivalent.

Step-by-step explanation:

If you multiply both 5 and 6, the ratio stays the same.

5:6 = 10:12 = 15:18 = 20:24 etc.

You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.

24/20 = 1.2

15/18 = 1.2

10/12 = 1.2

6/5 = 1.2

6 0
2 years ago
Isaac had lots of candy. He ate the same number of pieces each day, and the amount remaining can be modeled by the equation y =
zlopas [31]

Answer:

1. he eats 5 per day (5 less every day)

2. he starts with 83 pieces of candy

3. 53

4. on day 11

Step-by-step explanation:

1. self explanatory

2. self explanatory

3. 6*-5=-30 -30+83=53

4. put y as 28

28=-5x + 83 now solve for x

subtract 83 both sides

-55=-5x

divide -5 from both sides

11=x

6 0
2 years ago
Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
2 years ago
50 points if you answer question and show work.
katrin [286]
<span>My answer was D. 13.9 yd.
It depends on which leg is 12 yds
If it's the short one, hyp = 24
If the other one, hyp = 13.9
hope this works

</span>
3 0
2 years ago
Read 2 more answers
11. Imagine that the stone is part of an arch, and that there is an isosceles triangle JEF formed by extending sides GE and HF d
Anna11 [10]

Answer:

one for each angle measure) Line GJ is transversal, and since the bases ... I cannot add the measurement to my drawing by they are both 84 degrees. i hope i helped??

Step-by-step explanation:

6 0
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