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
viva [34]
3 years ago
9

Use your answer in part (a) to find the two values of m for which (m-2)2 -4(m-2)+2=0​

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

Step-by-step explanation:

Replace m - 2 with x.  Then we have x^2 - 4x + 2 = 0.

Completing the square, we get x^2 - 4x + 4 - 4 + 2 = 0, or

x^2 - 4x + 4 - 2 = 0, or

(x - 2)^2 - 2 = 0, or (x - 2)^2 = 2

Solve for x:  Take the square root of both sides.  Then:

x - 2 = ±√2 and x = 2 + √2 and x = 2 - √2

But x = m - 2; therefore, x = m - 2 = 2 - √2.  Solving for m, we get

m = 4 - √2.    

Also:  m - 2 = 2 + √2 leads to m = 4 + √2.  

The given equation is true for these two values of m.        

You might be interested in
The circumference of Z is 84 cm. What is the length of xy (the minor arc)?
Orlov [11]

Answer:21 cm

Step-by-step explanation: The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.

6 0
3 years ago
5 feet<br> 4 feet<br> What is the area?<br> 15 square feet<br> 20 square feet<br> 10 square feet
sesenic [268]

it is 20

use the formula W x L =A

width (5) length (4)

5 x 4 is 20

7 0
2 years ago
Talon made 75 percent of his free throws during lunch. If he made 15 free throws, how many total shots did he take?
Thepotemich [5.8K]

Answer:

20

Step-by-step explanation:

<u>15</u> = <u>75</u>    

x      100       (then cross multiply below)                              

---------------------------

<u>1,500</u> = <u>75x </u>

75           75

20 = x

6 0
2 years ago
Write the number 3,2, and 8 addition sentence. Show two more way to find the sum.
Alexxx [7]
This doesn't make sense
6 0
3 years ago
What is the value of 7 in 506,087
solong [7]
The value of 7 in that number is 7 because the 7 is in the ones place
7 0
3 years ago
Read 2 more answers
Other questions:
  • 5,309 divided by 43 5th grade lesson 2.6
    12·2 answers
  • I need help with this problem! Thank you !
    11·1 answer
  • The letters 's', 't', 'u', 'd', 'y', 'i', 's', 'l', 'a', 'n', 'd' are placed in a bag. one letter is randomly selected from the
    15·1 answer
  • Judith is planning a party for her younger brother
    7·1 answer
  • How do I find the perimeter of similar triangles? (Geometry)
    12·1 answer
  • The sum of three consecutive odd numbers is 93. What is the smallest of these numbers?
    8·2 answers
  • Talia earns 85 cents for cans she recycles.If she gets a nickel for each can,how many cans does she recycle?
    15·1 answer
  • The radius of a circle is 1 inch. What is its circumference?<br> sorry
    10·2 answers
  • Sarah worked to eam $502.90. If she worked for 94 hours, how much money does Sarah earn per hour? $
    12·2 answers
  • Write the equation for the line that passes through the point (-6, 2)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!