Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since

Answers

Answer 1

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer 2

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]


Related Questions

3/7×2 5/6=
i just dont know what the answer is like my brain is really bad in the mornings

Answers

Answer:

3/7*2 5/6= 17/14 = 1 3/14 ≅ 1.2142857

Step-by-step explanation:

Conversion a mixed number 2 5/6 to a improper fraction: 2 5/6 = 2 5/6 = 2 ·6+ 5/6 = 12 + 5/6 = 17/6 1) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

2) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

3) Write a previous answer (new numerator 17) over the denominator 6.

Two and five-sixths is seventeen sixths Multiple: 3/7 * 17/6 = 3 · 17/7 · 6 = 51/42

= 17 · 3/14 · 3 = 17/14. then you simplify.

I hope this helps

-1/5 x 15/16 get 70 pts if u answer thisss tysmmm<3

Answers

Answer:

[tex]\frac{-3}{16}[/tex]

Step-by-step explanation:

[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]

=> [tex]\frac{-15}{80}[/tex]

=> [tex]\frac{-3}{16}[/tex]

Hoped this helped.

Solve for X in the triangle round your answer to the nearest 10th

Answers

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.

so,

the opposite angle of x is

180 - 90 - 44 = 46 degrees.

x/sin(46) = 6/sin(90) = 6

x = 6×sin(46) = 4.316038802...

rounded x = 4.3

covert 104% into a decimal

Answers

Answer:

104 divided by a 100

1.04

Step-by-step explanation:

it is the same as moving the decimal two places to the left

I need help (if you can) the problem is Solve
the algebraic expression below.
(3)(0.2)+9

Answers

Answer:

9.6

Step-by-step explanation:

(3) * (0.2)=0.6

Then do 9+ 0.6

this will equal 9.6

hey i need help on this question even if you can only answer one of the three boxes

but if someone can do 2 or more that would be very apricated

thanks!

Answers

Answer:

I don't see boxes?

Step-by-step explanation:

I do not see any boxes sorry for the inconvenience

2. What is the average rate of change of the function f(x)=3x2 - 12 over the interval [1, 3]?

Answers

Answer:

5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.

Step-by-step explanation:

If x = 9 , evaluate the following expression: x + 6

Answers

Answer:

15 very simple

Step-by-step explanation:

im always right

What is the greatest integer that satisfies the inequality below?

Answers

Answer:

Step-by-step explanation:

- 2x > 17

x < 17 ÷ ( - 2 )

x < - 8.5

x ∈ ( - ∞ , - 8.5 )

The greatest integer that satisfies the inequality is ( - 9 )

A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?

The jar contains ___nickels and ___ dimes.

Answers

ANSWER

10 nickels = $0.50

10 dimes = $1.00

So- 10 nickels + 10 dimes = $1.50

Find the 60th term of the arithmetic sequence -10, 8, 26,

Answers

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052

What is the Slope of the line that passes through points (4, -2) and (3, 1)?

Question 3 options:

2


3


-2


-3

Answers

Answer:

-2.......................

1.If the triangle with vertices A(3,-9) B(-1, 7) C(5, 0) is reflected over the y-axis, what are the coordinates of
the new triangle A'B'C'?

Answers

Answer:

25 times 58

Step-by-step explanation:

guessed

Please help me please help mee

Answers

Answer:

1.-profit

2.-$300

3.-25%

Step-by-step explanation:

1.- 1500-1200=300+

2.-(1)

3.-1200/100= 12

300/12= 25

I’ve attached my work, hope it helps!

If
x
=
2
and
y
=
6
, evaluate the following expression:
3
(
3
y

4
x
)

Answers

The answer is 30. You have the values of x and y so all you have to do is substitute them into the equation 3(18-8) 18-8=10 3(10) 3x10=30

1/4 (-16x +8) distributive property

Answers

[tex] - 4x + 2 \\ \\ [/tex]

Which of the following is not an advantage of renting? a. Ease of mobility b. Fewer responsibilities c. Lower initial costs d. Restricted lifestyle Please select the best answer from the choices provided A B C D.

Answers

A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

What is renting?

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

Learn more about renting here:

https://brainly.com/question/26268428

#SPJ5

Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]

Answers

Answer:

v = 12

Step-by-step explanation:

[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross-  multiply )

6v = 8 × 9 = 72 ( divide both sides by 6 )

v = 12

Answer:

v=12

9/v =6/8 (cross - multiply)

6v = 8 x 9 = 72 (divide both sides by 6)

v = 12

Step-by-step explanation:

that's my answer

SOMEONE HELP MEEEEE PLEASEEEEE


Answers:
A.(1.5,0.75)
B.(1.75,0.5)
C.(0.75,1.5)
D.(1.5,1.75)

Answers

D is the answer, not A

level Easy:

A football team loses 6 yards on their first play. it gains 8 yards on the next play. What is the sum of -6+8?

good luck :))

Answers

Answer:

2

Step-by-step explanation:

when you add -6 and 8 you'll get 2

The answer is 2 because you add then u subtract!

4f2 + 3h - g+f




A. 7fhg

B. 4f + 3hgf

C. Can’t be simplified

D. 5f2 + 3h - g

Answers

Answer:

can't be simplified or you can add you get the answer

HELP ORGENT
Tyrone has $95 to spend. He already bought pants for $22. How many $5 t-shirts can he buy if he wants to have at least $15 left over?

a. Write an inequality that demonstrates this situation

b. solve your inequality

c. Explain what your answer means to Tyrone

Answers

Answer:

it should be a.

Step-by-step explanation:

Given m||n, find the value of x.
m
t
(5x-5)
(6x-27)

Answers

Step-by-step explanation:

due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.

5x - 5 = 6x - 27

-5 = x - 27

x = 22

Find the slope of the line that passes through each pair of points (-7,-6) (3, -6)

Answers

Answer:

0

Step-by-step explanation:

Slope = Change in Y/Change in X

Slope = -6 - (-6)/3 - (-7)

Slope = 0/10

Slope = 0

This is a horizontal line

-Chetan K

Answer:

Let (-7, -6) be (x1, y1)

and (3, -6) be (x2, y2)

The slope can be found with [tex]\frac{y2-y1}{x2-x1}[/tex]

Substitute in values:

[tex]\frac{-6-(-6)}{3-(-7)} =0[/tex]

The slope is 0. (It is a horizontal line.)

Mrs. Rush puts $300 in a bank account that earns 5% interest every year. How much will be in the bank after 3 years? (make sure you include the $ sign and round your answers to two decimal places

Answers

Answer:

$945 no cents so no need to round the recimals

Step-by-step explanation:

$300 times the 5% is $15 dollars in interest

so in three years it would be an additional $45 dollars

The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points? Show your strategy

Answers

Answer:

The home team

Step-by-step explanation:

1 touchdown is equal to 6 points (plus a extra point for the kick)

1 field goal is worth 3 points

If you are including the extra point as the touchdown it would be 7 pts times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)

For the 2nd team the have 3pts times 4 field goals which would put the visiting team at 12 points total.

The home team scored more points at 21 points versus the visiting team which had only scored 12 points.

HELPPPPPPP

Find the value of x for both

Answers

Answer:

x = 18 and x = 30

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

90 + x + 4x = 180

90 + 5x = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

-------------------------------------

The 2 angles are corresponding and congruent , then

x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )

2x = x + 30 ( subtract x from both sides )

x = 30

Answer:

1. x=18    2. x=30

Step-by-step explanation:

For 1. the equation would be x+4x =90 as it is a 90 degree angle

So 5x=90 then x = 18

For 2. The 2 angles are the same so we set them equal to each other

x=1/2x+15

2x=x+30

x=30

y(a -b) =c(y+ a); y

Answers

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

y(a - b) = c(y + a)

Distribute

ay - by = cy + ac

Subtract cy from both sides

ay - by - cy = ac

Factor out y

y(a - b - c) = ac

Divide both sides by (a - b - c)

y = ac / (a - b - c)

2
For the following Arithmetic Sequence, find the explicit form, and then find a 40
11, 1,-9, -19, ...
a40 =
an=

Answers

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

I'll give brainliest i swear

Answers

Answer:

See below for answer.

Step-by-step explanation:

Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.

Step-by-step explanation:

The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).

Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.

These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:

If a is positive, and |x| = a, then:

x = a or x = -a

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