1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmainna [20.7K]
3 years ago
10

Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.​

Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

x ≈ - 6.49, x ≈ 12.49

Step-by-step explanation:

Given

(x - 3)² + 7 = 97 ( subtract 7 from both sides )

(x - 3)² = 90 ( take the square root of both sides )

x - 3 = ± \sqrt{90} ( add 3 to both sides )

x = 3 ± \sqrt{90}

Then

x = 3 - \sqrt{90} ≈ - 6.49 ( to the nearest hundredth )

x = 3 + \sqrt{90} ≈ 12.49 ( to the nearest hundredth )

You might be interested in
The sum of three times a and four is the same as five yimes a?
Umnica [9.8K]

\text{the sum of three times a and four}:3a+4\\\\\text{five times a}:5a\\\\The\ equation:\\\\3a+4=5a\qquad\text{subtract 3a from both sides}\\\\4=2a\qquad\text{divide both sides by 2}\\\\2=a\to\boxed{a=2}

7 0
3 years ago
James and Cameron are watching a film. They pause it with one fifth left to watch. What is the ratio of how much they have watch
goldenfox [79]

Answer:

The ratio of how much they have watched to how much they have left to see is 4 : 1.

Step-by-step explanation:

Consider that the total duration of the film is, 1.

It is provided that James and Cameron paused when there is one-fifth left to watch.

That is, they have already watched, 1-\frac{1}{5}=\frac{4}{5} th of the film.

Compute the ratio of how much they have watched to how much they have left to see as follows:

\frac{\text{Duration Watched}}{\text{Duration Left}}=\frac{4/5}{1/5}=\frac{4}{1}=4:1

Thus, the ratio of how much they have watched to how much they have left to see is 4 : 1.

5 0
3 years ago
You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet . You intend to i
Pavlova-9 [17]

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

7 0
3 years ago
Two angles in a triangle have measures of 25° and 55°.
rosijanka [135]

Answer:

B) 100

Step-by-step explanation:

All 3 interior angles of a triangle add up to 180 so:

x + 25 + 55 = 180

x + 80 = 180

x = 180 - 80

x = 100

4 0
3 years ago
HELP I NEED HELP ASAP
Tpy6a [65]

Answer:

I think it's -14

Step-by-step explanation:

x = 0 so the x won't be included but

-2 • x = -2x

-12 • x = -12x

-2x + (-)12x = -14

hope this helps :)

7 0
3 years ago
Other questions:
  • Write the equation 5x - 3y = 16 in slope-intercept form. Explain your steps.
    5·1 answer
  • At McCord Middle School, 40 percent of the 500 students ride their bikes or walk to school. How many students ride their bikes o
    5·2 answers
  • Jake is skipping stones onto a pond. Each time he flings a stone in, he counts
    15·2 answers
  • Jeb’s club collected 182 toys last year and 412 toys this year.
    14·2 answers
  • Simon draws a rectangle with two sides that are 2 inches long and two sides that are 3 inches long.Chaz draws a figure with the
    8·1 answer
  • 5<br> ogarithmic equation in exponential form:<br> log(5k + 4) = 8r
    13·1 answer
  • For the line and point on the picture, find a perpendicular line, through the given point. please look at the picture to see the
    7·1 answer
  • Hello can someone Help? It math I would really appreciate! But please please DO NOT ANSWER IF ITS A LINK CALLED BIT.
    10·1 answer
  • Work out this question pls
    11·1 answer
  • What is ten minus x is less than or equal to 35?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!