Solve this equation -9h-6+12h+40=22

Answers

Answer 1

Answer: -9h - 6 + 12h + 40 = 22
3h + 34 = 22
3h = -12
h = -12/3
h = -4

Answer 2

Answer: $-9h-6+12h+40=22\n\n(-9h+12h)+(-6+40)=22\n\n3h+34=22\ \ \ |subtract\ 34\ from\ both\ sides\n\n3h=-12\ \ \ \ \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{h=-4}$

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2x - y = 10 y = -x - 1 Solve the system of equations (3, -4) no solution (9, 8)
The variables x and y are directly proportional, and y = 2when x = 3. What is the value of y when x = 9 ?
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If angle 1 and angle 7 are vertical angles and angle 1 and angle 2 are supplementary adjacent and the measure of angle 2 is 123 degrees. what is the measure of angle 7?

Answers

Answer: m∡7 = 57° .
_________________________________

Explanation:
____________________
m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.

m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.

Given: m∡2 = 123 ;

m∡1 + 123 = 180 ;

Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
_______________________________
m∡7 + 123 = 180 ; solve for "m∡7" ;
_______________________________
Subtract "123" from EACH SIDE of the equation:
_________________________________________
m∡7 + 123 - 123 = 180 - 123 ;
_________________________________________
m∡7 = 57° .
_________________________________________

Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9

Answers

9 3/10, 9.5, 9.9

9 3/10 is equal to 9.3

Find the product of 8x93 using distributive property. Show the steps and the solution

Answers

Hello there!

Take 3(6+7)

. We can add within the parentheses, and then multiply:

3(6+7)=3(13)=39

Or, you can multiply each addend by the 3

, and then add.

3(6+7)=3(6)+3(7)=18+21=39

Either way, you get the same answer.

Hope this helped!

HyperZ ^_^

Explanation:

Distributive property: → $a(b+c)=ab+ac$

Multiply by the numbers from left to right.

$93*8=744$

Then, you can also divide into the numbers.

$744/8=93$

$744/93=8$

Product it's going to be multiply by the numbers, fractions, factors, and multiples.

Hope this helps!

Thanks!

Have a great day!

How many gallons are in 161.25 sq ft

Answers

There are none. "Square foot" is a unit of area, not volume.
Square feet are flat, and can't hold water.

If you meant to ask about 161.25 CUBIC feet, I can help you there:

(161.25 ft³) x (1,728 in³/ft³) x (1 gallon/231 in³) = 1,206.234 gallons (rounded)

i got 1206.23cubic feet when i tryed this problem hope this helped

Your grandmother is in the hospital and is put on a liquid diet. After examining her chart, a mistake is found stating that her weight is 650 kg. What is the equivalent weight in pounds and what is the most likely mistake?

Answers

650 kgs is equal to 1,433 lbs. I believe the mistake would be that they forgot to add a period in between 65 and the 0, because 65.0 kgs is equal to 143.3 lbs.

Which of the following functions are solutions of the differential equation y'' + y = sin(x)?a) y= sinxb) y= cosx
c) y=1/2sinx
d) -1/2xcosx

Answers

Answer:

Option (d)

Step-by-step explanation:

Given,

y" +y=sin x ...........(1)

The particular solution

$y_p=A x sinx +Bx cosx$

$y'_p=Axcosx+Asinx+B cosx-Bxsinx$

$y$

Putting the value of y" and y in equation (1)

$2Acosx-Axsinx-2Bsinx-Bxcosx+Axsinx+Bxcosx = sinx$

$\Rightarrow 2Acosx-2Bsinx=sinx$

Therefore 2A =0 -2B=1

⇒A=0 $\rightarrow B=-(1)/(2)$

Therefore $y_p=-(1)/(2) x cosx$

Final answer:

The solutions of the differential equation y'' + y = sin(x) are y = cos(x), y = (1/2)sin(x), and y = -(1/2)xcos(x).

Explanation:

To determine which of the given functions are solutions of the differential equation y'' + y = sin(x), we can substitute each function into the equation and check if it satisfies the equation. Let's go through each option:

Substituting y = sin(x) into the equation, we get -sin(x) + sin(x) = sin(x), which is not true. So, y = sin(x) is not a solution.
Substituting y = cos(x) into the equation, we get -cos(x) + cos(x) = sin(x), which is true. So, y = cos(x) is a solution.
Substituting y = (1/2)sin(x) into the equation, we get -(1/2)sin(x) + (1/2)sin(x) = sin(x), which is true. So, y = (1/2)sin(x) is a solution.
Substituting y = -(1/2)xcos(x) into the equation, we get (-1/2)xcos(x) + (1/2)xcos(x) = sin(x), which is true. So, y = -(1/2)xcos(x) is a solution.

Therefore, the solutions of the differential equation y'' + y = sin(x) are y = cos(x), y = (1/2)sin(x), and y = -(1/2)xcos(x).

Learn more about Solutions of a differential equation here:

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