Does anyone know how he got from step 1 to step 2??????????

Answers

Answer 1

9514 1404 393

Explanation:

Both sides of the equation are squared.

[tex]\dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}[/tex]

I like this better without fractions, so would multiply by 16 at this point (or earlier).

x^2 -40x +144 = 0

(x -36)(x -4) = 0

x = 4 or 36 . . . . . . x = 4 is extraneous

The solution is x = 36.

Related Questions

Put the following fractions in order from GREATEST TO LEAST.
1/2 7/8 3/4 2/2

PLEASE HELP

Answers

Answer:

2/2, 7/8, 3/4, 1/2

Step-by-step explanation:

First you have to change it in to fractions that all have the same denominators. 4/8, 7/8, 6/8, 1

Now you put them in order.

NEED ASAP!!!!!!!!!!!!!!!simply 495/500

Answers

Answer:

0.99

Step-by-step explanation:

99/100 = 0.99
I hope this helps ! :)

For which equation(s) is -2 a solution?
А
23 +6 = 2
B
2 (2 - 4) = 63
1 1
32 + = -x + 6
2 4
с
D
7 - 3x = 52 +11
E
3x + 15 = 2x + 9

Answers

Answer:

lazy life

Step-by-step explanation:

Phil is riding his bike. He rides 15 miles in 3 hours, 30 miles in 6 hours, and
45 miles in 9 hours. What is Phil's constant rate (k) in SIMPLEST FORM. *
4 points
1/5 miles per hour
3/15 miles per hour
5/1 miles per hour
5 miles per hour

Answers

Answer:

5 miles per hour

Step-by-step explanation:

Raul is flying a kite with an angle of elevation equal to 60° if the height of the kite is 300 feet then now long is the kite string.

Answers

Answer:

ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

its d

A bracelet that regularly sells for $44 is on sale for 15% off. Find the sale price of the bracelet. Use dollar signs with your answer. *

Answers

Answer:

The answer would be $37.40

Step-by-step explanation:

The sale price would be the current price which is 44 - 15% of itself.

It is 15 percent off, so 44 x 0.85 would be the equation, since the now price is 85 percent of the original price.

44 x 0.85 = 37.40

dollar signs ;)

Answer:

$33.00

And here's a link to the quiz i think your taking. (Its a answer key)

https://quizizz.com/admin/quiz/5c90d54dd7b2aa001fb8e8b8/-applications

5. A number m is less than – 3 or greater than or equal to 1.
write the sentence as an inequality.

Answers

Answer:

m < -3 or m ≥ 1

Step-by-step explanation:

7. Two friends worked out on treadmills at the gym. Laura walked 7 miles in
1.75 hours. Ricki walked 12 miles in 2 hours. How much faster did Ricki
walk? *
0.25 mile per hour faster
2 miles per hour faster
They walked the same speed.
He didn't, Leo walked faster.

Answers

Answer:

Step-by-step explanation:

Laura walked 7/1.75=4 miles per hour

Ricky walked 12/2=6 miles per hour

Ricki is 2 miles per hour faster

If you drove 95 miles in 2 hours, how long will it take you to drive 415 miles at the same speed?

Answers

Answer:

4 hours (3.46)

Step-by-step explanation:

(Please help asap!)

Max, James, and Karl have a total of 1020 video game achievements combined.

Karl has half the number of achievements that James has.

Max has 219 achievements.

How many achievements does James have?

Answers

First get rid of max 1020 -219 =801
801 now you must divide by 3 to get 267
That way you can times by 2 together to get james (534) and then karl will be at half of james at 267

So james equals 534

Good luck hope this helps brainliest would be appreciated

Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%. How much money does have in TOTAL after 3 years with interest? Show your steps to support your answer.

Answers

Answer:

$3779.14

Step-by-step explanation:

I'm going to assume that the interest is compounding annually

We have the following equation

PV(1+i)ⁿ

Plug in our numbers and we have

3000(1+.08)³

3000(1.259712)=3779.136 which rounds to 3779.14

If I was doing -3n - 24

Answers

It will be. -3(n+8) because you have to go from greatest to least and then 2 negatives will equal a positive

Monica would like to earn at least $150 a week, and her parents have told her she cannot work
more than 20 hr. each week. What is the least hourly rate should she look for in order to meet her?

Plz help I’ll give u brainliest

Answers

$150 / 20 hours = $7.5 an hour to make $150 a week

Hewo helppT-T pwease :3

2/5+____= 11/15

Answers

Answer:

1/3 is the answer

Step-by-step explanation:

Answer:

hi! so first you make 2/5 into 6/15 and the answer would be 5/15 (or 1/3 if you simplify it) because 6/15+5/15=11/15

i need help i'm really stuck

Answers

Answer:

Step-by-step explanation:

If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:

8 * x / 2 = 32

Now, solve:

[tex]8x/2=32\\4x=32\\x=8[/tex]

Answer:

x=8

Step-by-step explanation:

Area is equal to half of the base times the height. We are told that the area is 32and the base is 8, so we can write this equation:

32=1/2(8)h

Multiply 1/2 by 8:

32=4h

Divide both sides by 4:

h=8

So now we know that x (the height) equals 8.

HTH :)

394.6 divided by 2 plssss help

Answers

Answer: 197.3 ok bye

Step-by-step explanation:

Answer:

197.3

Step-by-step explanation:

Which fraction, when written as a decimal, gives repeating decimals? a. 4 1/8 b. 1 1/4 c. 6/13 d. None of these PLSSS HELP ME OUT!

Answers

Answer:

d. None of these

Step-by-step explanation:

A perfect example of a fraction, when written as a decimal gives repeating decimals, is 1/3.

A bread recipe calls for 4 eggs for every 1 ½ pounds of flour you use. If you had 12 pounds of flour, how many eggs would you need to make all the bread that you could? Hint: set up a proportion.

Answers

Answer:

you would need 36 eggs

Step-by-step explanation:

you need 36 eggs because you can put 1/12 into 12 9 times without going over and 9 times 4 is 36.

Trigonometry please help
50 pts

Answers

It is A

hope I helped :)

Answer:

Its A :)

Step-by-step explanation:

If possible please explain!

Answers

Answer:

distributive to 4 and 2 thats all i could think of sorry

Step-by-step explanation:

Which right triangle's unknown leg measure is 43 units? Assume the given length are in the same unit of measure.
60
12
\/44
8
5
90
|/21
19
) Intro
Done

Answers

Answer: the fourth triangle

Step-by-step explanation:

I got it right :)

Answer:

The 4th triangle

Step-by-step explanation:

10 pt logs mark brain

Answers

Answer:

It's log 420

Step-by-step explanation:

Last year at a certain high school, there were 50 boys on the honor roll and 75 girls on the honor roll. This year, the number of boys on the honor roll increased by 8% and the number of girls on the honor roll increased by 24%. By what percentage did the total number of students on the honor roll increase?

Answers

Answer:

17.6%

Step-by-step explanation:

50×8%=4

75×24%=18

4+18=22

50+75=125

22÷125=17.6%

Answer:

14.4 percent increase

Step-by-step explanation:

Hep need please and thanks

Answers

the answer is the last one

Please help me geometry

Answers

Answer:

ASA

Step-by-step explanation:

ASA Congruence Theorem

Add the following complex numbers: (2 + 3i) + (3 - 2i)

Answers

Answer:

5 + i

Step-by-step explanation:

Combine real part ans combine imaginary parts

2 + 3i + 3 - 2i = 2 + 3 + 3i - 2i

= 5 + i

Answer:

5 and 1i

Step-by-step explanation:

So you’re adding the following complex numbers: (2 + 3i) + (3 - 2i)

normally if you see a (-) in front of a number, that means it’s negative so we’re gonna think about this as -2i and positive 3.

so you’re gonna want to take the 2 regular while numbers (without the variable) and then add those together. they’re like numbers so neither of them have a variable, which means they can easily be added, but you can’t add a number like 7 to a number like 9h because there’s a variable.

Now that you’ve added the 2 and 3, you get 5 right? so now you’re gonna take the 3i and -2i, and add those together. since the number 3i is bigger than -2i, the ending number after you add those is gonna be positive, and it’s gonna be 1i.

now i’m not sure if you’re supposed to make an equation out of this but you’re answer will be 5 and 1i or 5 + 1i

also if you don’t want to put 1i, 1i is the same as just “i”. so you can put 5 + i :)

hope this helped!!

I am thinking of a number i multiply by 11 and add 22 i get the same answer if i miltiply by 4 and add 113 whats my number

Answers

Answer: 13

Step-by-step explanation:

Let the number that in thinking of be represented by x.

I multiply by 11 and add 22 will give the same answer as multiplying by 4 and adding 113. This.csn be firmed into an equation as:

(11 × x) + 22 = (4 × x) + 113

11x + 22 = 4x + 113

Collect like terms

11x - 4x = 113 - 22

7x = 91

x = 91/7

x = 13.

The number is 13

what is 3 ( x+2) using distributuve propert

Answers

3(x+2)

Distribute and multiply
3 to x and 2 to get 3x+6
The answer is 3x+6

Answer:

3x+6

Step-by-step explanation:

just multiply 3*x=3x and 3*2=6 so 3x+6

NEED HELP ASAP ILL GIVE BRAINLIST

What is the area of the circle below?

A
5.64 square meters

B
7.85 square meters

C
15.7 square meters

D
19.625 square meters

Answers

Answer:

I think it is C

Step-by-step explanation:

ill mark u brainliest if u get it right

Answers

560 + 20x = 700 so the blue one

Answer:
700 = 576 + 20x
Blue one

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