Solve for a. √a−b+c=3
a=9+b−c
a=3+√b−√c
a=3+b−c
a=9+√b−√c

Answers

Answer 1

The required solution of the given expression is a = 9 + b- c. Option A is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression
√a−b+c=3
Squaring both sides,
a - b + c = 9
Rearrange the equation in order of a,
a = 9 + b - c

Thus, the required solution of the given expression is a = 9 + b - c. Option A is correct.

Learn more about simplification here:

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Related Questions

height versus age domain and range

Answers

Answer:

While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.

Step-by-step explanation:

a clock bought for RS 120 and sold at 20 Percentage​

Answers

Answer:

Cost price of the cycle = Rs. 1200

Selling price of the cycles = Rs. 1500

SP > CP ⇒ there is a gain.

⇒ Gain = SP - CP = 1500 - 1200 = Rs. 300

∴ Gain Percentage =

CP

Gain

(100)%

=

1200

300

(100)%=25%

∴ The shopkeeper makes a profit of 25%

is o.16 in root a rational or irrational

Answers

Answer:

[tex]\sqrt{0.16}[/tex] is a rational number

Step-by-step explanation:

[tex]\sqrt{0.16}=\sqrt{\frac{16}{100}}=\frac{4}{10}=0.4[/tex]

It is a perfect square. so, it is a rational number

A couch and coffee table cost a total of $1167. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.

Answers

Answer:

The couch is $778 and the table is $389

Step-by-step explanation:

Is -4 rational or irrational

Answers

It’s a Rational number

A building casts a shadow 100 m long. At the same time, a nearby pole 4 m high casts a shadow 8 m long. What is the height of the building? Round your answer to the nearest tenth, if necessary.

Answers

Answer:

50m

Step-by-step explanation:

Calculation for the height of the building

First step:

Let x represent the building height

Second step:

100m/8m = x/4

Third step is to Cross multiply:

100m(4) = 8x

400m= 8x

x=400m/8

x=50m

Therefore the height of the building will be 50m

please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it? ​

Answers

Answer:

short .

short becomes shorter when you add er .

Step-by-step explanation:

Answer:

shorter

Step-by-step explanation:

short

shorter

Please don’t ignore I really need some help on this

Answers

45.50(original price) * .8 (discount) * 1.05 (tax) =$38.22(final answer)

Answer:

38.22

Step-by-step explanation:

Remark

You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).

Discount

45.50 * 20/100 = 9.10

45.50 - 9.10 = 36.4

Sales Tax

46.4 * 5/100 = 1.82

Total Cost

Total Cost after the discount = 36.4 + 1.82 = 38.22

Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110

Answers

A- 30
B- 3
C- 30
D- 3
E- 3

(A and C)

Find the area of the shaded sector. Round to the nearest hundredths place.
SR= 26 m

Answers

Answer: 315.45 m^2

Step-by-step explanation:

We know that the area of a circle is written as:

A = pi*R^2

Where:

pi = 3.14

R = radius of the circle.

In this case, we know that SR (the diameter) is equal to 26m

And the radius is half of the diameter, then:

R = 26m/2 = 13m

Now, in the image we can see that we have half of the circle shaded, the area of that part will be equal to half the area of a complete circle, then the area of that part is:

A = (1/2)*3.14*(13m)^2 = 265.33 m^2

We also can see that we have a small arc shaded.

The area of a given arc of an angle θ, is given by:

A = (pi*R^2)*(θ/360°)

Now we want to find the angle of this arc, that is the angle:

∠PQ

We know that:

∠SR = 180°   (this is a straight line)

∠RQ = 73°

and i assume that:

∠PS = 73°

if we look at the image, we can see that we must have:

∠QR + ∠PQ + ∠SP = ∠SR

73° + ∠PQ  + 73° = 180°

∠PQ = 180° - 2*73° = 34°

Then the area of the small arc is:

A' = (3.14*(13m)^2)*(34°/360°) = 50.12 m^2

The total shaded area is equal to the sum of the two areas we calculated, this is:

Total area = A + A' = 265.33 m^2 + 50.12 m^2 = 315.45 m^2

Find the values of a and b such that x^2 + 2x - 7 = (x + a)^2 + b URGENT! *silly answers will be reported

Answers

Answer: b=−a2−2ax+2x−7

When you said, “Find the values of a and b” I can do B and that all...

Step-by-step explanation: hope this help

which is larger -1.5 or -3 1/2​

Answers

Answer:

-1.5

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

sorry if I'm wrong

Solve for x, round to the nearest tenth of a degree (timed help me PLEASE!!!)

Answers

Answer:

yo

o.1 like it please o.1

The value of x is 63.435, which is 60 round to the nearest tenth of a degree.

Given:

Height = 40 feet.

Distance =20 feet.

To find the value of x.

sinθ = hypotenuse/opposite.

cosθ =  hypotenuse/adjacent.

tan θ = opposite/adjacent.

tan θ = 40/20 = 2

θ = tan ⁻(2) = 63.435

Therefore, 60 for x round to the nearest tenth of a degree.

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Which expression is equivalent to 5(4k+7)?

A. 5(7+4k)
B.7(5k+4)
C.35k+20
D.4k+35

Answers

Answer:

A. 5(7+4k) = 35+ 20k

This is the same as 5(4k+7)

20k+35 is equal to 35+20k

40 POINTS! IF YOU ANSWER CORRECTLY AND BRAINLIEST

The ratio of cows to chickens at Old McDonald’s Farm is 2:7. Select
all the farms that have a greater ratio of cows to chickens than Old
McDonald’s Farm.

1. ed’s Farm: 3 cows for
every 5 chickens

2. Pasture Farm: 2 cows for
every 9 chickens

3.Cluck & Moo Farm: 1 cow
for every 5 chickens

4. C & C Farm: 3 cows for
every 8 chickens

5. Family Farm: 1 cow for
every 3 chickens

btw: I added an extra 50 cause i feel nice today :>

Answers

Answer:

2. Pasture Farm : 2 cows for every 9  chickens & 4. C & C Farm: 3 cows for

every 8 chickens.  

* Please let me know if this helped you or tell me if one of my answers are wrong .


Write the equation of the line in point slope form.
Y+4=-3(x+2)

Answers

Y+4= -3x - 6
Y= -4 - 3x -6
Y+3x= -10

In the function y = x, if y = -8, what is x equal to?

Answers

Answer:

x = -8

Step-by-step explanation:

[tex]y =x[/tex]

If y = -8 — Substitute y = -8 in the equation.

[tex] - 8 = x[/tex]

Therefore, our x is -8 when y = -8

Answer:

x=-8

Step-by-step explanation:

Let's solve your system by substitution.

y=x; y=−8

Rewrite equations:

y=−8; y=x

Step: Solve y=−8 for y:

y=−8

Step: Substitute −8 for y in y=x:

y=x

−8=x

−8+−x=x+−x(Add -x to both sides)

−x−8=0

−x−8+8=0+8(Add 8 to both sides)

−x=8

-x/-1 = 8/-1

x=-8

Here is the graph.   Anyways, hope this helped! If you can, can you give me brainliest?! Have a great day!!

(4f-5+2g)-(6g+4)
change to standard form​

Answers

Answer:

4f-4g-9

Step-by-step explanation:

first I did i put 4f cuz u can't do anything to it so then I subtract 2g-6g you will get -4g and then add -5 +4=-9

hope this helps

When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling price of the sofa. What will be the selling price if the manager of Fantastic Furniture buys a sofa for $400? Show your work explain your reasoning.

Answers

Answer:

Selling price= $580

Step-by-step explanation:

eGiving the following information:

Buying price= $400

Mark-up percentage= 45% = 0.45

The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.

Mark-up= buying price* Mark-up percentage

Mark-up= 400*0.45

Mark-up= $180

Now, the selling price:

Selling price= 400 + 180

Selling price= $580

What is the domain of the function graphed?

A){x: x≤4}
B) {x: x≥2}
C) {x: x≤2}
D) all real numbers

Answers

Answer:

D) all real numbers

Step-by-step explanation:

2 trains leave from the same point and travel along straight tracks that differ in direction by 72゚. If their speeds are 64 miles per hour and 52 miles per hour approximate how far apart they will be after 30 minutes

Answers

Answer:

34.44 miles

Step-by-step explanation:

Distance covered bty the two trains :

Distance = speed * time

Time = 30 minutes = 0.5hr

Distance of train 1 = 64 * 0.5 = 32 miles

Distance of train 2 = 52 * 0.5 = 26 miles

Included Angle = 72°

Using cosine rule :

a² = b² + c² - 2bcCosA

Let Distance between the trains after 30 minutes = a

a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)

a^2 = 1700 - 514.20427

a^2 = 1185.7957

a = sqrt(1185.7957)

a = 34.435

a = 34.44 miles

The correct answer is y < 18. Let's pretend a student forgot to flip the symbol and they mistakenly believe the solution set is y > 18. They check 21 since 21 is greater than 18, and they think that y has to be greater than 18. When they do their check, what will the final line of the check say? Is this a true statement?

Answers

Answer:

It is wrong

Step-by-step explanation:

y < 18

This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.

y > 18

This is read as y is greater than 18.

There is a difference between the numbers greater or less than 18 .

y must have numbers less than 18 and 21 is greater than 18.

Therefore it is wrong.

But to make it true we can multiply minus with the inequality y > 18

-y > -18

This reverses the inequality sign and it becomes

y< 18

The solution which is required.

A middle school took all of its 6th grade students on a field trip to see a play. The students filled 816 seats, which was 48% of the total number of seats in the theater. How many total seats were in the theater?

Answers

Answer:

4900

Step-by-step explanation:

BYHELPINGME

I am thirsty but also thrifty so I want a drink that will quench my thirst and cost the least. Which of the following will quench my thirst and cost the least? Write the unit rate for each.
-A 12oz Pepsi $1.08
-A 20oz coke for $1.20
-A 24oz mountain dew for $1.68

Answers

You need to find the cost per ounce.
Just divide the price by the amount of ounces.
Once you do this, you get .09, 0.06, and 0.07.
The coke costs the least per ounce. It’s the one.

12d^4/3d^2 shdhshbdbsnsns

Answers

Answer:

zip p0quo6or0r7ut t if

Step-by-step explanation:

ye at rdlrj8hj0

Answer:

[tex]4d^{2}[/tex]

Step-by-step explanation:

Divide the numbers like usual:

12/3 = 4

Note that when you divide powers with common base, you are actually subtracting the power:

[tex]\frac{d^{4} }{d^{2} } = d^{4 - 2} = d^{2}[/tex]

Combine the two for your answer:

[tex]4d^{2}[/tex] is your answer.

~

Help me with this pls

Answers

Answer:

n=2

Step-by-step explanation:

-4n - 8 = 4(-3n + 2)

-4n - 8 = -12n + 8

8n = 16

n = 2

PLEASE HELP ASAP I WILL MARK BRAINLIEST IF THERE ARE MULTIPLE ANSWERS!!!!!

Please graph the solution of x+8≥9 and take a picture

Answers

Answer:

Attached

Step-by-step explanation:

x+8≥9

x ≥ 9-8

x ≥ 1

picture one is two dimension and picture 2 is number line

if you ate 56 hotdogs in 7 minutes how much would you eat per minute

Answers

Answer:

8 hot dogs

Step-by-step explanation:

[tex]8*7=56\\[/tex]

Answer:

You could Eat 8 in a minute.

Step-by-step explanation:

divide 56 by 7.

Feels impossible to be honest. I have no idea.

PLEASE HELP ME WITH THIS ASAP

Answers

Answer:

92.736

Step-by-step explanation:

Answer:

92.736 square feet

Step-by-step explanation:

Area is length times width

4.8 x 19.32 = 92.736 Square feet

write:
3^-4 in standard form

Answers

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Key skills: Exponents + Fractions

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as [tex]\frac{1}{3^{4}}[/tex]

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

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