What should be added to both sides of the equation below to complete the square?
x?
+ 6x = -8
O-4
O-2
O-9
09

What Should Be Added To Both Sides Of The Equation Below To Complete The Square?x?+ 6x = -8O-4O-2O-909

Answers

Answer 1

Answer:

Step-by-step explanation:

x² + 6x = 8

Coefficient of the x term: 6

Divide it in half: 3

Square it: 3²

Add 3² to both sides of the equation to complete the square and keep the equation balanced:

x² + 6x + 3² = 8 + 3²

(x+3)² = 17


Related Questions

Which of the following expressions is equivalent to 8.8.8.8.8.8?

Answers

Answer:

8^6

Step-by-step explanation:

This just means that 8 is being multiplied by itself 6 times

Answer is B
Because.

Find the value of X.

Answers

In the question you will do

35 is the biggest side it’s named by hypotenuse

So you will do 35=21 to the power x +x

So after you do it it will be

X=441 -35 it will be 406 and after you finish you will do it in the calculator so

The Answer is : 20.15
Theres an easier way. Pythagorean theorem-
A^2+B^2=C^2
A and B are legs while C is the hypotenuse or slanted one.
So rearrange formula.
C^2 - A^2=B^2
1225 - 441 = B^2
784= B^2
Square root it now
28=B

An apple has a mass of 32.06 grams. What is the mass of the apple rounded to the nearest tenth of a gram?

Answers

32.1

Hope this helps! Have a nice life!

Pls Help Me With This Question! It's 8th Grade Math!

Answers

Answer:

y= 4/3x

Step-by-step explanation:

Answer:

y= 4/3x

Step-by-step explanation:


Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry

Answers

Phoebe is correct. The line on the graph would be vertical in the x-axis value of 12.

3x+30=180 degrees, what is the value of the letter x in this problem?

Answers

Answer:

50

Step-by-step explanation:

180-30=150/3=50

3x + 30 = 180

     -30     -30     subtract 30 on both sides, solve for 180 - 30 which is 150.

___________

3x = 150

__    ___       divide 3 on both sides, solve for 150 ÷ 3 which is 50.

3       3

x = 50, final answer

hope this helps! :)

how would u turn 11/25 into a decimal?

Answers

11 dived by 25 would equal 0.44

Answer:

you divide 11 by 25 and then round to the nearest hundredth

Step-by-step explanation:

11÷25= 0.44

Please help meeeeeee!!!!! ill give BRAINLIEST

Answers

Answer:

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .

PLEASE HELP.

The population of Metropolis was approximately 2,600,000 people in 2000. The population began decreasing at a rate of 1.1% every year after 2000.

Which function models the population of Metropolis x years after 2000?


f(x)=0.989(2,600,000)x

f(x)=2,600,000(1.011)x

​f(x)=2,600,000(0.989)x​

f(x)=1.011(2,600,000)x

Answers

Answer:

The answer is C i just took the test.

Answer:

it's C i just took the test

Step-by-step explanation:

What is the point-slope of y+5=-7/4(x-4)

Answers

Slope: -7/4

Point/y-intercept: (0,2)

Here are the steps and answer! It’s in the photo below! I hope this help!

In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°

Answers

Answer:

B 54.5°

Step-by-step explanation:

Since we have a triangle,

CAB + ABC + BCA = 180 (sum of angles in a triangle)

Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have

80° + 45.5° + BCA = 180°

simplifying, we have

125.5° + BCA = 180°

collecting like terms, we have

BCA = 180° - 125.5°

BCA = 54.5°

So, the answer is B

Find the circumference of the circle with a radius of 7

Answers

Answer:

43.96

Step-by-step explanation:

The radius is 7 inches. This'll mean the diameter is 14, and the circumference of a circle is pi * diameter. This'd be 3.14 * 14 = 43.96 inches :)

The model represents 3 ÷ 1/5

Which multiplication can you use to check the answer?

Three squares are shown. Each square is divided into 5 fifths.
A. 3 x 1/5= 3/5
B. 15 x 1/5 = 3
C. 15 x 3/5 = 9
D. 15 x 5/3 =25

Answers

Answer:

the answer is 2

Step-by-step explanation:

The equation which represent the three squares which is divided into the 5 fifths is,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

What is a multiple of fraction?

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

A multiple of a fraction is the number which is n times of the original function.

The model represents,

[tex]3 \div 1/5[/tex]

Here, the total number of square are given is 3. These three square are then divided into the one fifth.

Thus, we get total 3 times of 5 one fifth which is equal to the entire 3 squares

.

Thus, the equation can be written for this condition as,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

Hence, the equation which represent the three squares which is divided into the 5 fifths is,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

Option B is the correct option.

Learn more about the multiple of fraction here;

https://brainly.com/question/9281754

WILL GIVE BRAINLIEST

Answers

Answer:

he right

Step-by-step explanation:

a. Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm.

b. Given that UT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.

c. Given angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.

Answers

Answer:

a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm

b.

sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.

than AT=BT

3x+6=42-x

3x+x=42-6

x=36/4=9

AT=3×9+6=27+6=33

c.

since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.

EH=GH

5y+10=28-y

6y=28-10

y=18/6=3

a. The length of the midsegment of an equilateral triangle is 6.25 cm

b. The length of AT is 33 units.

c. The value of y is 3.

What is an equilateral triangle?

"It is a triangle whose all sides are equal in length and all angles measure 60° "

What is perpendicular bisector?

"It is a line that intersects another line perpendicularly and divides it into wo equal parts."

What is angle bisector?

"It is a line that splits an angle into two equal angle."

What is an isosceles triangle?

"It is a triangle that has two sides of equal length."

What is midsegment of the triangle?

"It is the line segment connecting the midpoints of the two sides of a triangle."

What is midsegment formula?

"midsegment = 0.5 × base of triangle"

a.

We have been given an equilateral triangle with side lengths of 12.5 cm.

We need to find the length of the midsegment of an equilateral triangle.

Using midsegment formula,

midsegment = 0.5 × 12.5

midsegment = 6.25 cm

Therefore, the length of the midsegment of an equilateral triangle is 6.25 cm

b.

UT is the perpendicular bisector of line segment AB, where T is on AB

We know that the perpendicular bisector  divides the line segment into two equal parts.

⇒ AT = TB

⇒ 3x + 6 = 42 - x

⇒ 3x + x = 42 - 6

⇒ 4x = 36

⇒ x = 9

So, the length of AT would be,

⇒ AT = 3x + 6

⇒ AT = 3(9) + 6

⇒ AT = 33 units

Therefore, the length of AT is 33 units.

c.

An angle EFG has angle bisector FH, where EF = GF

From given data, we can say that for it must an isosceles triangle EFG with EF = GF and base is EG.

An angle EFG has angle bisector FH and point H is on the side EG.

We know that the angle bisector of isosceles triangle is also the perpendicular bisector of the base of an isosceles triangle.

⇒ EH = HG

⇒ 5y + 10 = 28 - y

⇒ 5y + y  = 28 - 10

⇒ 6y = 18

⇒ y = 3

Therefore, the value of y is 3.

Learn more about the angle bisector and perpendicular bisector here:

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Sierra conducted an experiment. She drew a color tile from a bag, recorded the results, and return the tile to the bag. Out of 100 trials she randomly drew a blue tile 46 times, a red tile 38 times, and a green tile 16 times. What is the experimental probability of drawing a red tile?

Option 1: 4/25
Option 2: 23/50
Option 3: 19/50
Option 4: 16/100

Answers

So we know that there are 38 red tiles out of 100. You may think this is the answer (which it is) but one we have 38/100 we simplify the answer down to 19/50

Answer: Option 3: 19/50

Evaluate f(a+4)
pls help me w this !

Answers

im pretty sure its fa+4f?

Find the area of the shaded region. Round your answer to the nearest tenth if needed.

Answers

Area of rectangle is A1
A1=l•w
A1=3.5 • 2.4
A1=8.4 m^2

Area of triangle is A2
d=2.4
r=d/2
r=2.4/2=1.2 m
A2= π•r^2
A2=3.14 • (1.2)^2
A2=3.14 • 1.44
A2=4.5216 m^2

Area of shaded region A=A1+A2
A=8.4+4.5216
A=12.9216
A~12.9 m^2

A company hauls its 1 cubic foot boxes in the truck as shown.
How many boxes can this truck carry?

Answers

Answer:

96

Step-by-step explanation:

3*4*8=96

Answer:

96

Step-by-step explanation:

HI PLEASE HELP IM KINDA CONFUSED WITH KINETIC ENERGY AND POTENTIAL ENERGY ANYONE CAN HELP?

Answers

Answer:

P

K

P

K

P

K

Step-by-step explanation:

If it's not moving, it's potential energy

If it's moving, it's kinetic energy

What is the length of gh here? Please help me, I have a short deadline and I will give the best answer brainliest :)

Answers

Answer:

7

Step-by-step explanation:

Answer:

about 7.3 units

Step-by-step explanation:

the short lengths are 2 and 7, so like i explained earlier, 2^2 + 7^7 = x^2

we can simplify this to 53 = x^2, the so x = √53, which is about 7.3.

If k(x) = x2 and p(x) = k(x) + n, what is the value of n?

Answers

Answer: Value of n is -6

Step-by-step explanation:

If the function f(x) is translated k units up, then its image is g(x) = f(x) + k

If the function f(x) is translated k units down, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can start by substituting the function k(x) into the expression for p(x):

p(x) = k(x) + n

p(x) = x^2 + n

We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:

p(2) = 2² + n = 4 + n = 5

n = 5 - 4

n = 1

Therefore,

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

Learn more about expressions here:

https://brainly.com/question/3118662

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A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show

your work!

I need help plssss

Answers

Answer:

15.95 feets

Step-by-step explanation:

Given that:

Angle of elevation = 62°

Using trigonometric relation :

Tanθ = opposite / Adjacent

From the drawing attached :

Opposite = 30 feets

Distance between girl and lighthouse = d

Tan 62 = 30 / d

1.8807264 * d = 30

d = 30 / 1.8807264

d = 15.951283

d = 15.95 feets

Which Superhero has the greater miles to second ratio
------------------------------------------------------------------------------------------
Choices are:
------------------------------------------------------------------------------------------
A) Super-Man
B) Iron-man
C)Neither they are both equivalent
------------------------------------------------------------------------------------------

Answers

Answer:

Super Man

Have a great day!

Find the Volume of the shape below.
4 ft
2 ft
2 ft

Answers

Answer:

16 ft³

Step-by-step explanation:

4ft x 2ft x 2ft = 4ft x 4ft = 16 ft³

The answer is 16ft I just took the test

The function y = -16t+^2 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places. ​

Answers

Answer:

The water droplet will hit the ground 1.58 seconds after it started falling.

Step-by-step explanation:

The function:

y = -16*t^2 + 40

represents the height of a water droplet t seconds after falling from an icicle.

We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.

Then we only need to solve the equation:

0 = y =  -16*t^2 + 40

0 =  -16*t^2 + 40

16*t^2 = 40

t^2 = 40/16

t = √(40/16) = 1.58

The water droplet will hit the ground 1.58 seconds after it started falling.

1. Choose the statement that describes the value of the square root of 24.
The value is between 4 and 4.5
The value is between 4.5 and 5
The value is between 5 and 5.5
The value is between 5.5 and 6

Answers

Answer:

4.5 and 5

Step-by-step explanation:

The √24 is 4.89879

to one decimal place is 4.9

Approximately 5

if the diameter of the semicircle is 6 in fid the area in terms of pi?

Answers

Answer:

i think the is 14.13.

Step-by-step explanation:

Round 3.55 to the nearest tenth.

Answers

Answer: 3.6

Step-by-step explanation: if the second number after the decimal point is five or above you would round the first number after the decimal point up.

Can someone Please help me show my work for this its due in 5 minutes!! I'll give you brainlest!!!! IT HAS TO DUE WITH LINEAR EQUATIONS.​

Answers

Answer:

b 80 more tickets

Step-by-step explanation:

5,000-1,000=4,000

4,000÷50=80

hope this helps

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