3 years ago

Is the ordered pair a solution of the system? Explain with a sentence.

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

It is a solution.
Explanation : 2(2)+(1)=5. (2)-(1)=1

Please give brainliest

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)

Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P $(x_0,y_0,z_0)$ is

$z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\$

Now the partial derivatives of f are

$f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}$

$\\\\=\frac{1}{9-8}$

= 1

Now

$f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}$

= -8

So, the tangent equation is

$z - 0 = 1\times (x - 9) -8\times (y - 1)$

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

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3 years ago

Bill had $5.42 and earned 2.25 he spent $3.78 how much did he have left

inna [77]

Answer:

3.89

Step-by-step explanation:

5.42+2.25=7.67

7.67-3.78=3.89

Hope this helps

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3 years ago

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lesya692 [45]

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2 years ago

the mass of jam when full is 450g. the jam has a mass of 80g. find the total mass of 3 full jars of jam in kilograms and grams

anastassius [24]

Answer:

the answer is 1350

Step-by-step explanation:

add 450 together three times or multiply by 3

450 x 3 = 1350

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4 years ago

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One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?

denis-greek [22]

Answer:

about 7 units

Step-by-step explanation:

10 $10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7$

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3 years ago