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
sertanlavr [38]
3 years ago
11

Sail with the equation by completing the square x^2+8x=-3

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

The solutions are x=-4(+/-)\sqrt{13}

Step-by-step explanation:

we have

x^{2} +8x=-3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +8x+16=-3+16

x^{2} +8x+16=13

Rewrite as perfect squares

(x+4)^{2}=13

square root both sides

x+4=(+/-)\sqrt{13}

x=-4(+/-)\sqrt{13}

You might be interested in
There are 92,746 seats available for fans at UGA's Sanford Stadium. Auburn University's Jordan-Hare Stadium has seating for 87,4
Anvisha [2.4K]

Given :

Number of seats at UGA's Sanford Stadium, n_1 = 92,746 .

Number of seats at Auburn University's Jordan-Hare Stadium, n_2=87,451 .

To Find :

How many more seats are there at UGA's stadium.

Solution :

Extra seats at UGA's stadium = seats at UGA's Sanford Stadium - seats at    

                                                     Auburn University's Jordan-Hare Stadium

= 92,746 - 87,451

= 5295

Hence, this is the required solution.

4 0
3 years ago
A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1
Kitty [74]

Step-by-step explanation: Explanation:

y

−

2

=

3

(

x

−

1

)

3

x

−

y

=

3

−

2

=

1

x

1

3

+

y

−

1

=

1

is the intercept form of the equation.

Now we know the two points on the line as

(

1

3

,

0

)

,

(

0

,

−

1

)

By plotting the two points on a graph sheet and joining them gives the line required.

graph{3x - 1 [-10, 10, -5, 5]}

Hope this helps!!!

5 0
2 years ago
What was the property of equality
loris [4]

Reflexive Property=For all real number X,X=X

A number equals itself

Addition Property=For all real number X,y & Z,. if

X=Y then X+y=y+Z

Subtraction Property=For all real number X,Y And Z if X=y then X-Z=y-Z.

7 0
3 years ago
Given g(x) where f(x)= 3x-1 and g(x)= f(x+1). graph​
vlabodo [156]

Answer: I linked the graph but the intersection point is x= -1

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • I need help solving this asap
    6·2 answers
  • HELP PLEASE! URGENT!
    10·1 answer
  • How do i know if a table is linear
    9·1 answer
  • What is the surface area
    6·1 answer
  • What is the slope of the line x= -1
    8·1 answer
  • What's 48 3/5 written as a decimal
    15·2 answers
  • Mark talked on his cell phone 3 hours over the weekend. Genaro talked on his phone 1 9−− 10hours. How much longer did Mark talk
    5·2 answers
  • BIU A
    9·1 answer
  • Find the value of x -Geometry in Two and Three Dimensions -will give brainliest-
    11·1 answer
  • You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers abou
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!