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
PilotLPTM [1.2K]
3 years ago
10

Solve the following quadratic equation. (x-18)^2=1

Mathematics
2 answers:
Leviafan [203]3 years ago
8 0

Answer:

x = 19, 17

Step-by-step explanation:

(x-18)(x-18)=1

x^2 - 36x + 324=1

x^2 - 36x = -323

x^2 - 36x + 323 = 1

(x-19)(x-17) = 0

x = 19, 17

nexus9112 [7]3 years ago
8 0

Answer: x = 17,19

Step-by-step explanation:

<h2>Method 1: Solve by Equations</h2>

The most common method, so...

(x-18)^2=1

x^2-2x(18)+18^2=1

x^2-36x+324=1

Move 1 to the left.

x^2-36x+324-1=0\\x^2-36x+323=0

(x-17)(x-19)=0\\x=17,19

The value of x are 17 and 19.

<h2>Method 2: Solve by Graphing</h2>

I don't recommend this method since you might be bad at graphing (You must be perfect at graphing)

So given (x-18)^2=1

Move 1 to the left

(x-18)^2-1=0

Change 0 to y

y=(x-18)^2-1 The vertex is at (18,-1)

Draw the graph (Parabola)

When you finish drawing the graph, x-intercepts should be around 17 and 19

x-intercepts are the value of x so if x-intercepts are at (17,0) and (19,0) then the value of x are both 17 and 19

You might be interested in
Richard buys a carton of oranges and measures the weight of 1 orange in the carton Which measure gives the most precise weight?
Rama09 [41]

Answer:

0.8 lbs

Step-by-step explanation:

Ounces are typically used to measure liquid, so I would discourage choosing the top two. And, hopefully you know by now that an orange does not weigh 8 pounds.

5 0
3 years ago
Read 2 more answers
1. On which road would there be a larger standard deviation in speed: a backroad or an interstate? Justify your answer
White raven [17]

Answer:

Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given

Step-by-step explanation:

7 0
3 years ago
A phone company worker needs to know the height of a cell tower, so he decides to use a 2 m pole and shadows cast by the sun, as
olganol [36]
I always found it easiest to draw out the picture 
6 0
3 years ago
List sides and angle from smallest to largest
irinina [24]

Answer: C,A,B

Step-by-step explanation:

7 0
3 years ago
Need help asap thank you!
EastWind [94]

  All potential solutions are covered by theoretical domains and ranges. The solution sets are constrained by actual domains and ranges to fit inside predetermined constraints. Make a function equation out of a word problem that specifies the domain and range of application. All potential solutions are covered by theoretical domains and ranges.

<h3>Domain and range: what are they?</h3>

C = 9 + 7.34

One room costs = $7.34.

Charges of n room = Charges of one room  × Number of Rooms

Charges of n room = 7.34 n

Reservation Room =  $ 9

Total Cost (c) = Reservation Room + Charges of n room

C = 9 + 7.34

They only clean a maximum of 15 rooms.

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

When n = 1 , C = 9 + 7.34 ×1 = 16.34

When n = 2 , C = 9 + 7.34 ×2 =23.68

When n = 3 , C = 9 + 7.34 ×3 =31.02

When n = 4, C = 9 + 7.34 ×4 =38.36

When n = 5 , C = 9 + 7.34 ×5 = 45.7

When n = 6, C = 9 + 7.34 × 6 = 53.04

When n = 7 , C = 9 + 7.34 ×7 = 60.38

When n = 8 , C = 9 + 7.34 ×8 =67.72

When n = 9 , C = 9 + 7.34 × 9 =75.06

When n = 10, C = 9 + 7.34 ×10 = 82.4

When n = 1 1, C = 9 + 7.34 ×1 1 = 89.74

When n = 12 , C = 9 + 7.34 ×1 2 = 97.08

When n = 13 , C = 9 + 7.34 ×1 3 = 104.42

When n = 1 4, C = 9 + 7.34 ×14 = 111.76

When n = 1 5, C = 9 + 7.34 ×15 = 119.1

C = 9 + 7.34

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

Range = { 16.34,23.68,31.02,38.36,45.7, 53.04,60.38,67.72,75.06,82.4,89.74,97.08,104.42,111.76,119.1}

To Learn more About Domain and range, Refer:

brainly.com/question/2264373

#SPJ13

5 0
1 year ago
Other questions:
  • A regular triangular pyramid has a base area of 31.5 mm2 and a surface area of
    7·1 answer
  • What is the best approximation of the solution to the system to the nearest integer values?
    10·2 answers
  • Drag the correct steps into order to solve the equation -7x + 14 = 56 for x.
    7·2 answers
  • Solve the equation 4*e+2=1 (mod5)
    9·1 answer
  • What is the value of (2/3)^-4
    9·2 answers
  • Given the sets A = {7, 11, 14, 17, 21} and B = {0, 11, 15, 17, 34}, the set A∩B is given by:
    9·1 answer
  • Sarah earns $525 more than Andrew each month. They spend $1250 a month and save the rest. Sarah does not have any savings at fir
    9·1 answer
  • Determine whether the equation below has a one solutions, no solutions, or an
    10·1 answer
  • Use the commutative property to multiply 2.35 x 24
    6·2 answers
  • The third part lol helppppppppppppppppppppppppppppppppppppppppp
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!