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3 years ago

Find the value of x and give a reason for the relationship between the angles.

Mathematics

1 answer:

allsm [11]3 years ago

4 0

Answer:

x = 72 and they are a linear pair making them supplementary angles

Step-by-step explanation:

144 + (x - 36) = 180

108 + x = 180

x = 72

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 5 sin(xy), (0, 2) maximu

Ahat [919]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=5 sinxy$

Point=(x,y)=(0,2)

We have to find the maximum rate of change of f at given point.

$f_x(x,y)=5ycos(xy)$

$f_x(0,2)=5(2)cos0=10$

$f_y(x,y)=5xcosxy$

$f_y(0,2)=5(0)cos0=0$

$\Delta f(0,2)=f_x(0,2)+f_y(0,2)=10i+0j$

Maximum rate of change of f at point (0,2)= $\mid \Delta f(0,2)\mid=\sqrt{x^2+y^2}$

Where x=Coefficient of i

y=Coefficient of j

By using the formula

Maximum rate of change of f at point (0,2)= $\sqrt{(10)^2+0}=10$

Direction of maximum rate of change of f= $\Delta\har{f}=\frac{\Delta f(0,2)}{\mid\Delta f(0,2)\mid}=\frac{10i}{10}=i$

7 0

3 years ago

2(3x + 5) - 16 + 2<br> due soon

Zanzabum

PEMDAS

multiply 2 in the parentheses:

6x + 10 - 16 + 2

Combine like terms:

6x -4

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7 0

2 years ago

What is the sum of the 1st square number and the 6th square number?

Dimas [21]

Answer:

Step-by-step explanation:

1+36=37

6 0

3 years ago

While on vacation in Europe, you go shopping and buy a large LEGO set that weighs 4 pounds. The post office only shows shipping

sergeinik [125]

Answer:

,,,,,

Step-by-step explanation:

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3 years ago

Solve each inequality and graph its solution 0>3x-3-6

trasher [3.6K]

Answer:

3 > x

Step-by-step explanation:

0>3x-3-6

Combine like terms

0>3x-9

Add 9 to each side

0+9>3x-9+9

9 > 3x

Divide each side by 3

9/3 > 3x/3

3 > x

4 0

3 years ago