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
zepelin [54]
1 year ago
10

Use completing the square to solve for x in the equation (x-12)(x+4)= 9.

Mathematics
1 answer:
xeze [42]1 year ago
5 0

Answer:

x=4+√73 or x=4−√73

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−8x−48=9

Step 2: Add 48 to both sides.

x^2−8x−48+48=9+48

x^2−8x=57

Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.

Add 16 to both sides.

x^2−8x+16=57+16

x^2−8x+16=73

Step 4: Factor left side.

(x−4)^2=73

Step 5: Take the square root.

x−4=±√73

Step 6: Add 4 to both sides.

x−4+4=4±√73

x=4±√73

x=4+√73 or x=4−√73

Answer:

x=4+√73 or x=4−√73

If this answer helped you, I would greatly appreciate it if you gave me brainliest :D.

You might be interested in
Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of blueberries, and $2 per pound of apple
olasank [31]

Answer:

The required expression is: y = 5 + 2.50b + 2a

Step-by-step explanation:

Given

Entry = \$5

Blueberry = \$2.50

Apple = \$2

Required

Write an expression for this scenario

If 1 pound of blueberry cost $2.50

then b pounds = 2.50 * b

If 1 pound of apple cost $2

then a pounds = 2 * a

The required expression (y) is then calculated as

y = Entry\ Fee + Blueberry = Apple

y = 5 + 2.50 * b + 2 * a

y = 5 + 2.50b + 2a

Hence, the required expression is: y = 5 + 2.50b + 2a

8 0
3 years ago
What angles do perpendicular lines form
Natasha2012 [34]

Answer:

Perpendicular lines form 90 degree angles. It creates 4 of them, to be exact. Hope this helps! :)

7 0
3 years ago
Review the graph of function g(x).
dimulka [17.4K]

Answer:

c

Step-by-step explanation:

edg 2021

5 0
3 years ago
The length of a rectangle is seven times its width. The area of the rectangle is 175 square centimeters. Find the dimensions of
dimulka [17.4K]

Answer:

<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

7w² = 175

Divide both sides by 7

w² = 25

Find the square root of both sides

w = √25

w = 5cm

But l = 7w

l = 7(5)

l = 35cm

The length is 35cm

The width is 5cm

Hope this helps you.

7 0
3 years ago
Student is training 4 a track team during the first 3 months of the year by running 30 minutes every day, while averaging 5 mile
Novay_Z [31]

30 minutes  -  5 miles;

1 hour -  10 miles

10 hours - 100 miles ...

The independent value is plotted along the x- axis ( Hours ) and the dependent variable is plotted  along the y-axis ( Miles ). Also:

3 months = 90 days

90 x 1/2 hours = 45 hours

Answer: The graph B ) ( or the second one ).  

4 0
3 years ago
Other questions:
  • Use the following terms to describe the challenging environment of west and central Africa : Deforestation, desertification, mal
    9·1 answer
  • What is the answer to X^4 -3x^2+2
    10·2 answers
  • Kirby places frog and Beth's snail on point 0 in on the number line. As Beth's snail slowly slimed forward in the positive direc
    5·1 answer
  • 7/10 as a sum of fraction.
    7·2 answers
  • Write an equation for a line that is perpendicular to the line 8x-4y=12 and passes throught the origin
    10·1 answer
  • Bob spent $78,475 on supplies to build a house. The house is 2,150 square
    12·2 answers
  • Which of the following functions best describes this graph?<br><br> HELP A BROTHA OUT
    10·2 answers
  • What is 89.892 rounded tk the nearest tenth
    13·1 answer
  • Helppppppp meee plsss
    13·1 answer
  • Help pls ............
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!