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UNO [17]
3 years ago
9

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

4 0
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

8 0
3 years ago
Can someone please give me the (Answers) to this? ... please ...<br><br> I need help….
lesya692 [45]

Answer:

above is the answer to the question, second picture for clear view

8 0
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

5 0
4 years ago
Read 2 more answers
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:

1010^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7

3 0
3 years ago
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