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3 years ago

19.Find dy/dx of the function y = f(x) definded by x²+xy-y2 = 4.

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Answer:

2x + y

Step-by-step explanation:

x² + xy - y² = 4

→ Remember the rule, bring the power down then minus 1

2x + y

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4x+ 3y -2z=35, 2x-3y+z=-6, x+2y+3z=-5, solve for x,y and z

Mkey [24]

1. X = \frac{35}{4}+\frac{\left( -3\right) \ Y}{4}+\frac{z}{2}$$

3 0

3 years ago

Find the value of c that completes the square for x2−15x+c

meriva

Answer:

The value of c is $\frac{225}{4}$ .

Step-by-step explanation:

The perfect square of the difference between two numbers is:

$(x-y)^{2}=x^{2}-2xy+y^{2}$

The expression provided is:

$x^{2}-15x+c$

The expression is a perfect square of the difference between two numbers.

One of the number is x and the other is √c.

Use the above relation to compute the value of c as follows:

$x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}$

Thus, the value of c is $\frac{225}{4}$ .

5 0

3 years ago

F represents the fee (in dollars) for climbing d meters.

Grace [21]

Answer:

$12

Step-by-step explanation:

when d = 0, F = 110

when d = 100, F = 110 + (0.12 x 100) = 122

when d = 200, F = 110 + (0.12 x 200) = 134

etc.

Therefore, increase in price for every 100 meters climbed = 134 - 122 = 122 - 110 = 12

3 0

3 years ago

Triangle A′B′C′ is a dilation of triangle ABC .

Bumek [7]

Answer:

1/2

Step-by-step explanation:

The scale factor is 1/2 because each side length of $\triangle{A'B'C'}$ is 1/2 of the length of the side lengths of $\triangle{ABC}$ .

Hope this helps :)

6 0

2 years ago

Which table shows a linear relationship

drek231 [11]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers