Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+_____a. -36b. 36c. 16d. -16

Answers

Answer 1

Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

Coefficient of x = 12

Half of 12 = 1/2(12) = 6

Square of 6 = 6² = 36

Hence the required number to add to both sides of the equation by completing the square method is 36


Related Questions

help me pleaseeeeeeee​

Answers

wouldn’t that be 0.36

the point p and all points to the left and right of P ​

Answers

Answer:

ifyiohdihw5;goish;5iyhw;lij5yp'owk5yjw6iyjhge5g.liejh.lijs4l5yjwe4il5jywo4j5

Step-by-step explanation:

;orihwuklh5tijw/i6yji5yjitkyn5kkt;elfojyjhk;tmghl

The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?

Answers

Answer:did you get the answer???

Step-by-step explanation:

    Expression representing total amount collected for the daily fees yesterday will be $(10a + 5c).

 Daily fees for the Fun Town amusement Park are,

Adult → $10 eachChild → $5 each

If there were 'a' adults and 'c' children in the park yesterday,

Total amount to be paid = $(10a + 5c)

   Therefore, expression for the total amount collected for daily fees yesterday will be $(10a + 5c).

Learn more,

https://brainly.com/question/15805316

(4p-4)+(-7p-7)
I need HELP ON THIS PLEASE FAST!!

Answers

Answer:

The correct answer is number 2

-3p - 11

I'm 1000000% sure...

I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form of a line that passes through (5,7) and (4,4)

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

passes through (5, 7) and (4, 4)

Find slope:

(7 - 4) / (5 - 4)

= 3/1

= 3

This is your slope.

Now plug in a set of coordinates.

y = 3x + b

7 = 3(5) + b

7 = 15 + b

b = -8

Your equation is: y = 3x - 8

Check your work by plugging in the second coordinate pair.

y = 3x - 8

4 = 3(4) - 8

4 = 12 - 8

4 = 4

Your solution is correct.

Several children and adults visited a zoo last week. The
number of children was 4 more than 2 times the number of
adults. Let c represent the number of children and a represent
the number of adults. Which equation shows this situation?
C=4a-2
B
C = 4a + 2
C = 2a + 4
D
C = 2a-4

Answers

Answer 2a+4 i think...

write the first four terms of the arithmetic sequence given a1=-3 and d=-2

Answers

1) -3
2) -5
3) -7
4) -9

Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)

a= term position
a(n)= nth term
a1= first term

At a basketball​ game, a team made 58 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 99 points in all. Write and solve a system of equations to find the number of each type of shot.

Answers

Step-by-step explanation:

Step-by-step explanation:

1.Right

2.Left

3.Bottom Middle

What is the value of x in the solution to this system of equations ?
Y+2x=-1
Y=(1/2)x+4

Answers

Answer:

2×+y=-1

Do you think I'm right???

find the x for these ​

Answers

Answer:

i hope these are helpful

Is this correct for number 5 if not please help

Answers

Answer:

Yes it is! good job

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 7 =30, x = 3 true or false

Answers

Answer:

False

Step-by-step explanation:

2x+7=30

2x=23

X= 23/2 or 11.5

X does not equal 3, therefore the statement is false

False x= 11.5 (in decimal form)

1. Solve this quadratic by factoring
6x^2+7x-5=0

2. Solve this quadratic by factoring x^2+5x-14=0

3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0

4. Solve this quadratic by factoring
X^2-25=0

5. Solve this quadratic by factoring
X^2-6x=0

Please show work.

Answers

ANSWER #1:

x = -1.666666667

x = 0.5

STEP-BY-STEP:

Simplifying

6x2 + 7x + -5 = 0

Reorder the terms:

-5 + 7x + 6x2 = 0

Solving for variable 'x'.

(-5 + -3x)(1 + -2x) = 0

SUBPROBLEM 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying

-5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -3x = 0 + 5

Combine like terms:

0 + -3x = 0 + 5

-3x = 0 + 5

Combine like terms:

-3x = 5

Divide each side by '-3'.

x = -1.666666667

Simplifying

x = -1.666666667

SUBPROBLEM 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying

1 + -2x = 0

Move all x terms to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -2x = 0 + -1

Combine like terms:

0 + -2x = 0 + -1

-2x = 0 + -1

Combine like terms:

-2x = -1

Divide each side by '-2'.

x = 0.5

Simplifying

x = 0.5

ANSWER #2:

x = -7

x = 2

STEP-BY-STEP:

Simplifying

x2 + 5x + -14 = 0

Reorder the terms:

-14 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-7 + -1x)(2 + -1x) = 0

SUBPROBLEM 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms:

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms:

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

SUBPROBLEM  2

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '-2' to each side

2 + -2 + -1x = 0 + -2

Combine like terms:

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms:

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

ANSWER #3:

x = 3.25

x = -0.92

STEP-BY-STEP

Simplifying

3x2 + -7x + -9 = 0

Reorder the terms:

-9 + -7x + 3x2 = 0

Solving for variable 'x'.

Divide each side by '3'.

-3 + -2.333333333x + x2 = 0

Add '3' to each side

-3 + -2.333333333x + 3 + x2 = 0 + 3

Reorder the terms:

-3 + 3 + -2.333333333x + x2 = 0 + 3

Combine like terms:

0 + -2.333333333x + x2 = 0 + 3

-2.333333333x + x2 = 0 + 3

Combine like terms:

-2.333333333x + x2 = 3

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).

Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side

-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112

Reorder the terms:

1.361111112 + -2.333333333x + x2 = 3 + 1.361111112

Combine like terms:

1.361111112 + -2.333333333x + x2 = 4.361111112

Factor a perfect square on the left side:

(x + -1.166666667)(x + -1.166666667) = 4.361111112

Calculate the square root of the right side: 2.088327348

Break this problem into two subproblems by setting

(x + -1.166666667) equal to 2.088327348 and -2.088327348.

SUBPROBLEM 1

x + -1.166666667 = 2.088327348

Simplifying

x + -1.166666667 = 2.088327348

Reorder the terms:

-1.166666667 + x = 2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side

Combine like terms:

0.000000000 + x = 2.088327348 + 1.166666667

x = 2.088327348 + 1.166666667

Combine like terms:

2.088327348 + 1.166666667 = 3.254994015

Simplifying

x = 3.254994015

SUBPROBLEM 2

x + -1.166666667 = -2.088327348

Simplifying

x + -1.166666667 = -2.088327348

Reorder the terms:

-1.166666667 + x = -2.088327348

Solving

-1.166666667 + x = -2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side of the equation.

-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000

0.000000000 + x = -2.088327348 + 1.166666667

x = -2.088327348 + 1.166666667

Combine like terms: -2.088327348 + 1.166666667 = -0.921660681

x = -0.921660681

Simplifying

x = -0.921660681

ANSWER #4:

x = -5

x = 5

STEP-BY-STEP:

Simplifying

x2 + -25 = 0

Reorder the terms:

-25 + x2 = 0

Solving

-25 + x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side

-25 + 25 + x2 = 0 + 25

Combine like terms: -25 + 25 = 0

0 + x2 = 0 + 25

x2 = 0 + 25

Combine like terms: 0 + 25 = 25

x2 = 25

Simplifying

x2 = 25

Take the square root of each side:

x = {-5, 5}

Please help!!!
Composition of functions~

Answers

Answer:

option D

Step-by-step explanation:

First you must find g(n) given that n is -3n:

g(-3n) = -3n - 1

Then plug that in f(n) as the new n:

f(n) 3( -3n - 1) + 5

= -9n -3 + 5

= -9n + 2

So option D

A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?

Answers

Answer:

28

Step-by-step explanation:

You can have 8 1x2 verical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

1+7+1+9+10=28

Does the system have no solution?​

Answers

Answer:

[tex]\mathrm{A)\:}-6[/tex]

Step-by-step explanation:

Notice that in the second equation, the coefficient of [tex]y[/tex] is [tex]2[/tex] times greater than in the first. Therefore, by making the coefficient of [tex]x[/tex] in the second equation [tex]2[/tex] times greater than in the first, it's impossible to only isolate one variable.

Therefore, when [tex]a=-3\cdot 2=\fbox{-6}[/tex], there are no solutions to this system.

Please help me answer this question. Can you the doc

Answers

Answer:

I opened the doc but what's the question..? I only see attendance..

Step-by-step explanation:

Select the one number that does NOT belong in the following set of whole
numbers.
{0, 1, 3, 7, 9, 14, 2.7}
14
0
7
2.7
3
9
1

Answers

Answer:

2.7

Step-by-step explanation:

2.7 is not a whole number because it has a decimal behind it. All of the other numbers are whole because they do not.

Answer:

2.7

Step-by-step explanation:

2.7 is not a whole number

it is not a whole number because a whole number is something that doesn't have a fraction or a decimal.

btw please mark me brianliest if you can. :>

Question:
A method of solving systems
of linear equations by______
an expression for a variable and then solving for the other variable is called_______
Answer choices:
•graphing
•substitution
•substituting
•solving
(help me please)

Answers

Answer:

substituting  & graphing

Step-by-step explanation:

HelP I have to turn this in tomorrow!!!

Answers

Answer:

$7.22 per foot squared

Step-by-step explanation:

hope this helps

Answer:

$7.22/ft² (Verified Answer) ✅

Step-by-step explanation:

We need the unit rate here. The best way to do this is to write a proportion.

Let x = the $ for 1 ft.

130/18 = x/1

130 = 18x

Divide by 18

x = $7.22

Now, we check to make sure we are correct.

130/18 = 7.22/1

130 = 130 ✅

Just answer the question if you actually answer it you get brainliest and 50 points.

Answers

Step-by-step explanation:

f(x) = a * b^x

We have the following information:

f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.

f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.

Hence f(x) = 15 * 0.6^x.

Henry's family members choose numbers to assign
chores. The person who draws the highest number is the
first to select a chore. The numbers 1 through 10 are
written on pieces of paper. All numbers are equally likely to
be chosen.
What is the probability that the first person will choose a number greater than
6?

A10
6

B4
10

C6
10

D10
4

Answers

The answer is 4/10 or the simplified answer is 2/5

please help me i’m so confused

Answers

If the angles on this diagram were labeled this would be a lot easier to describe, but here goes...
We need to find the angle they are calling “1”, at the bottom of the triangle on the far left of the diagram. In order to find that angle, we have to find the other 2 angles first.
The top left corner of the diagram is marked as a right angle (90 degrees) with a line dividing that angle. If one part is 36 degrees, the other is 54 (90-36=54).
Now look in the middle of the diagram where the 2 lines criss-cross. A straight line is 180 degrees...since we see that the one angle in the middle is 88 degrees, the other part of it must be 92 degrees (180-88=92).
You now know 2 of the 3 angles...54 and 92. All 3 angles of a triangle = 180 degrees so we can write this equation...
54 + 92 + (angle 1) = 180
So angle “1” = 34 degrees

12y - 4 what is answer

Answers

Answer: 4(3y−1)

Step-by-step explanation:

Answer:

4(3y - 1)

Step-by-step explanation:

To factor this find the greatest common factor of 12y and -4, which would just be 4.

Then, you have 4(3y - 1)

Identifying Congruent Triangles
Find the measure of The missing angles

Answers

The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ2

The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

For finding m∠1,

Here m∠2 = 90° as per the figure it is the right angle.

m∠1 + 40° +  m∠2 = 180°

m∠1 + 40° +  90° = 180°

m∠1 = 50°

For finding m∠3,

m∠2 + m∠3 +  30° = 180°

90° +  m∠3 +  30° = 180°

m∠3 = 60°

For finding m∠4 and m∠5

We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°

For finding m∠6 and m∠7

m∠6 + m∠7 +  20° = 180°

60° + m∠7 +  20° = 180°

m∠7 = 100°

Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ2

Drew is making a dart board.
The diameter of the dart board is 44 centimeters. What is the approximate circumference? (Use 3.14 for .)

Answers

Answer:

138.16 cm

Step-by-step explanation:

Recall that the formula for calculating the circumference is pi times diameter.

Circumference = 44 x 3.14 cm = 138.16 cm.

x - y = 2

x + y = -3
Solve this using elimination
Quickly please!!!!

Answers

The answer for x=-1
The answer for y=-5/2

I believe these are correct

What is the answer?? Please

Answers

9514 1404 393

Answer:

  not similar

Step-by-step explanation:

"Triangle" DPS cannot exist. Sides DP and DS are not long enough.

__

Side ratios are not the same. In the top triangle, the length ratios are ...

  14 : 16 : 19

In the bottom triangle, the length ratios are ...

  7 : 8 : 19   (such a triangle cannot exist)

Since the ratios are not the same, the triangles are not similar.

Heeeeelp pleaseeeee I will mark brainliest (if the answer is right)

Answers

Answer:

p = 6

Step-by-step explanation:

The slope equation is:

[tex]m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} } [/tex]

then to know the value of "p":

[tex] - \frac{1}{3} = \frac{7 - p}{p - 9} \\ - 1(p - 9) = 3(7 - p) \\ - p + 9 = 21 - 3p \\ 3p - p = 21 - 9 \\ 2p = 12 \\ p = \frac{12}{2} \\ p = 6[/tex]

Meryl needs to cut down 10.5 trees for every 5 cabins she builds.

Complete the table using equivalent ratios.

Number of trees Number of cabins

10.5 5
__ 3
__ 7

Answers

Answer:

for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(

Answer:

3) 6.3

7) 14.7

Step-by-step explanation:

Use ratios to solve the table

10.5/5 = x/3

cross multiply

31.5 = 5x

x = 6.3

10.5/5 = x/7

73.5 = 5x

x = 14.7

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