use lagrange multipliers to find the maximum and minimum

Is there anymore words?

Answer:

I'm not answering but i can help you :)

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°.

The two angles of a linear pair, like ∠1  and  ∠2 in the figure below, are always supplementary.

But, two angles need not be adjacent to be supplementary. In the next figure, ∠3  and  ∠4 are supplementary, because their measures add to 180°.

Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a.

So, measure of the other angle is 2a.

If the sum of the measures of two angles is 180°, then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a, divide both sides of the equation by 3.

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120°.

Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.

The sum of the measures of two supplementary angles is 180°.

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q.

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both sides. We get:

7x=203°

Divide both sides by 7.

7x7=203°7

Simplify.

x=29°

To find m∠P, substitute 29 for x in 2x+15.

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73°.

To find m∠Q, substitute 29 for x in 5x−38.

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107°.

Answer:

b

Step-by-step explanation:

The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.

Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

The difference in money made by company from first quarter to second is

700,000-343,000

= +357,000

Therefore, the correct answer is option D.

Learn more about the subtraction here:

brainly.com/question/2346316.

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the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

Learn more about triangle here

https://brainly.com/question/16929864

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we have sin²x + cos²x = 1

ok done. Thank to me :>

Answer:

Its D because the 1=1 and 2=2 + Fish

Step-by-step explanation:

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.

a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52

a1 = -52 1/2 = -105/2

an = -105/2 + (n-1)×2

Answer:

6(x)

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

x represents a number, it is also called a variable.

If there is 2 of x, it would be represented like this: 2x

If there is 1 of x, it would be represented like this: x

Answer:

I believe the answer is B. 80, -160

Step-by-step explanation:

The pattern involves multipling by -2 so the term after that would be 320!

Answer:

Unit rate is 3

Step-by-step explanation:

The unit rate means the value of ONE unit.

In this case, it would be the value of ONE pound of apples.

I divided 6 by 2, which gave me THREE.

Answer:

11.25

Step-by-step explanation:

i hope this is right sry if its not tho

Answer:

How many miles is a 45 minute drive? 45 min is 0,75*60 min. During this time you'll drive 0,75*60= 45 miles.

Step-by-step explanation:

Answer:

The system has no solutions.

Step-by-step explanation:

Let's write it in a more traditional form

[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]

Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.

Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd

Answer:

D have your net income equal your spending and savings.

Step-by-step explanation:

I did A and got it wrong, D is the correct answer.

Answer:

15t+12r

Step-by-step explanation:

you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r

Step-by-step explanation:

48 ÷ 2 = ...

= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)

= 6 + 6 + 6 + 6

= 12 + 12

= 24

Answer:

Step-by-step explanation:

A = 1/4√5(5+2√5)a²

Answer:

The answer is 500 meters

Step-by-step explanation:

I got it right

Please mark me as brainly!

Please leave a 5 star review

Have a good dat!

:)

Answer:

10,000

Step-by-step explanation:

simple math in my opinion

Answer:

Uh not me but I don't think you should leak your schools name...

Answer:

m<H= 80*

m<P= 80*

m<I= 33*

M<Q= 33*

M<J=67*

M<R=67*

Step-by-step explanation:

Given States that ️ HIJ = ️ PQR

<H=<P

2x=x+40

2x-x=x-x+40

x=40

<I=<Q

<J=<R

ALL TRIANGLES MEASURE 180*

Y= the measure of <R and <J

2x+33+y=180

2(40)+33+y=180

80+33+y=180

113+y=180

113-113+y=180-113

y=67

Answer:

See answer below

Step-by-step explanation:

If ΔHIJ ≅ ΔPQR ,then you know six  congruent parts:

 ∠H ≅ ∠P ; ∠I ≅ ∠Q;  ∠J ≅ ∠R    and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR

   ∠H ≅ ∠P         ∠I ≅ ∠Q

2x = x + 40°          ∠I = 35°

x = 40°

So ∠H = 2x = 2(40) = 80°                        Δ HIJ = 180°

    ∠P = x + 40 = 40 + 40 = 80°               ∠H + ∠I  + ∠J = 180°

    ∠Q = 35°                                                  80° + 35° + ∠J = 180°

    ∠ I = 35°                                                   115° + ∠J = 180°

    ∠ J = 65°                                                          ∠J = 65°

    ∠R = 65°                                                      ∠J ≅ ∠R

Answer:

on a 6-sided dice, 1/6

Step-by-step explanation:

Answer:

8.3(3333333333333333)

Step-by-step explanation:

Answer:

16, 25, 36

Step-by-step explanation:

Answer:

I think -5

Step-by-step explanation:

-8-(3)= -5

if they are the same sings (+or-) you keep and add and different signs subtract, you keep the sign of the bigger number then you'll be exact.

Hope it helps

Answer:

Step-by-step explanation:

.<6 and <3

SOLUTION:  

Interior angles that are non adjacent and lie on

opposite. In the figure, angles <5 and <4 are consecutive interior

angles. sides of the transversal are alternate interior

angles.

<4 and <7

SOLUTION:  

In the figure, angles 1 and 3 are corresponding

angles. Use the Corresponding Angles Postulate:

If two parallel lines are cut by a transversal, then

each pair of corresponding angles is congruent

Answer:

2

Step-by-step explanation:

Plug in 3 for the a's and -2 for the b's:

[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]

Then simplify:

[tex]4 - (-2 + 9) + 3 = ?[/tex]

remember to add 1 as a placeholder if the sign before the parenthesis is a minus:

[tex]4 + 4 - 9 + 3 = ?[/tex]

Solve:

[tex]4 +4 -9+3=2[/tex]

Answer:

y = 9

Step-by-step explanation:

The line "y = 9" is parallel to the x-axis and passes through (0,9).

Answer:

200points

[tex]x6)266(6( \times [/tex]

hatodf jahahshshshshfidba

Answer:

14

Step-by-step explanation:

ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )

8 red counters are added , so

4x + 8 : 3x = 8 : 3

Expressing the ratio in fractional form

[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )

24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

original number of counters = 4x + 3x = 7x = 7(2) = 14

Answer:

357,8 if finding ???? before tip 53.67

8,050500000000001 if 53.67 and tip 15% 8,050500000000001

Step-by-step explanation: