Solve x2 + 10x + 7 = 0 by completing the square.

Which equation is used in the process?

( x + 5) 2 = 32
( x + 5) 2 = 18
( x + 10) 2 = 93

Answers

Answer 1
The answer is second
(x+5)2 = 18

Related Questions

Which of the following regression equations best fits the data shown below?

Answers

Answer:

the answer is A

Step-by-step explanation:

sorry if im worng

A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are there in total

Answers

Answer:

8428

Step-by-step explanation:

According to the Question,

Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence  13, 18, 23, ...

We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.The formula for the sum of an arithmetic sequence with n terms is given is [tex]S_n= \frac{n}{2} [2a_1+(n-1)d]S[/tex] .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

[tex]S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428[/tex]

Therefore, there are 8428 seats in all.

Find the midpoint of the line segment with these endpoints: (-4,3), (-1,5)
In which quadrant is the midpoint?

Answers

Answer:

(-5/2, 4)

Second quadrant

Step-by-step explanation:

Mathematically, we can calculate the midpoint using the formula;

(x,y) = (x1 + x2)/2, (y1 + y2/2

We have;

(x,y) = (-4-1)/2, (3+5)/2

(x,y) = (-5/2, 4)

to get the quadrant, as we can see, this is negative x and positive y and that makes it the 2nd quadrant

A triangle has side length 3,8 and 9. Find the angle measurement for the angle cross from the side with length of 8.

Answers

Answer:

The angle measurement is 61.218°

Step-by-step explanation:

I used a triangle calculator

Solve for x. x-6 8x + 24

Answers

Answer:

x = 18

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

x - 6 + 8x + 24 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND :}}}[/tex]

The value of [tex]x[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { x\:=\:18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ [tex]x[/tex] - 6 + 8[tex]x[/tex] + 24 = 180°

➪ 9[tex]x[/tex] + 18 = 180°

➪ 9[tex]x[/tex] = 180° - 18

➪ 9[tex]x[/tex] = 162

➪ [tex]x[/tex] = [tex]\frac{162}{9}[/tex]

➪ [tex]x[/tex] = 18

Therefore, the value of [tex]x[/tex] is 18.

Now, the two angles are:-

( [tex]x[/tex] - 6 ) = ( 18 - 6 ) = 12°( 8[tex]x[/tex] + 24 ) = ( 8 x 18 + 24 ) = 144 + 24 = 168°

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

✒ 12° + 168° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\sf\blue{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

A walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the
equation that represents the new path.

Answers

Answer:

y = 1/3 x +4

Step-by-step explanation:

m = 1/3

3 = 1/3(-3) + b

3 = -1 +b

b=4

In a sale of 30% discount, the selling price of a LED TV was AED 4200. Calculate the price of TV before sale.​

Answers

Answer:

3000

Step-by-step explanation:

30%×100=3000

then the profit is=

4200-3000=1200

Which function is shown in the graph below?

Answers

That’s a mathematic graph

Does anyone know the answer to this question ?

Answers

Answer:

12/25 = 48/100 = .48 = 48%

Step-by-step explanation:

Determine the intercepts of the line.
y
=
11
x
+
6

Answers

Answer:

intercepts are (-6/11 , 0) and ( 6,0 )

Solve the system by substitution.
y = -5x
y= -7x – 14

Answers

Answer:

x = -7       y = 35

Step-by-step explanation:

-5x = -7x - 14

2x = -14

x = -7

y = -5(-7)

y = 35

Someone help
Please with the one I have circled everyone keeps saying it’s 15 but it’s incorrect when I put it in please help

Answers

Answer:

w

Step-by-step explanation:

Monday = 4

Tuesday = 1/3 w  (where w is the miles walked on Wednesday)

Wednesday = w

Total = 24

4 + 1/3 w + w = 24

Combine like terms

4 + 4/3 w = 24

Subtract 4 from each side

4/3 w = 20

Multiply each side by 3/4

w = 20 *3/4

w = 15

In the equation when we start, we need to put the variable, not the solution

At the end we have the solution

Find m>X
21.04
22.62
67.38
68.96

Answers

Answer:

67.38 degrees

Step-by-step explanation:

Here, we want to find the value of the angle at X

We are going to use the appropriate trigonometric ratio here

From the question, the vertex X faces the side 12 and that makes the side the opposite

The side 13 faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects both is the sine

so we have that;

sine X = 12/13

X = arc sin (12/13)

X = 67.38

The value of a car has decreases by 5% each year. Sophie bought a car two years ago for £10000 work out the value now .

Answers

Answer:

£9000

Step-by-step explanation:

= £10 000× 5 ×2

100

= 1000

= £10 000-1000

= £9000

6
2
Add
3
+
7. Simplify the answer and write as a mixed number.
.
Question Help: Video
Submit Question

Answers

Answer:

1  11/21

Step-by-step explanation:

Use common denominator of 3 * 7 = 21

2/3 * 7/7 = 14/21

6/7 * 3/3 = 18/21

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

14/21 + 18/21 = 32/21

Reduce

32/21 = 1  11/21

Answer: 1 11/21

Step-by-step explanation:

Data: 2/3+6/7=x

Step one, Find the common denominator

(2/3)x7(for each number)=14/21

(6/7)x3(for each number)=18/21

Reason: To add fractions, you always have to find the common denominator(so you can make the denominator the same for each fraction). The common denominator of 3 and 7 is 21 and since what you do to the bottom has to be done to the top, you multiply 2 by 7 and 6 by 3 to end up with 14/21 and 18/21.

Step two, add

14/21+18/21=32/21=1 11/21

Reason: Since we have our common denominators, we just have to add and, with fractions, you only add the top(numerator) and not the bottom(denominator) you end up with 32/14 but when made into a mixed fraction(by dividing the bottom into the top and leaving the remainder on the top) you get 1 11/21 which can't be simplified.

So since it can't be simplified, it's your answer

I hope this helps!

Please help I need help

Answers

Answer:

2 1/3

Step-by-step explanation:

PLZ HELP WILL GIVE BRAINLY IF RIGHT!!!
-2(x-4)=4x+2x+8

Answers

Answer:

x = 0

Step-by-step explanation:

-2(x-4)=4x+2x+8

Distribute

-2x +8 =4x+2x+8

Combine like terms

-2x+8 =6x+8

Add 2x to each side

-2x+2x+8 =6x+2x+8

8 = 8x+8

Subtract 8 from each side

8-8 = 8x+8-8

0 = 8x

Divide by 8

0=x

Answer:

x = 0

Step-by-step explanation:

-2(x-4) = 4x+2x+8

-2x+8 = 6x+8

8-8 = 6x+2x

0 = 8x

x = 0

Hope this will help and if so, then please mark me as brainliest.

What type of solutions will a quadratic equation have when the discrimination b^2 - 4ac in the quadratic formula is negative? (plz give explanations)

a - two nonreal solutions
b - one real solution
c - two real solutions
d - no solutions

Answers

Answer:

Step-by-step explanation:

The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.

Answer:

a

Step-by-step explanation:

Solving equations:

(a) 5x - 9 = 3x + 3

(b) x + 6 = 34 - x

Answers

Answer:

a) 5x - 9 = 3x + 3

5x - 3x = 3 + 9

2x = 12

x = 12 / 2

x = 6

b) x + 6 = 34 - x

x + x = 34 - 6

2x = 28

x = 28 / 2

x = 14

Answer:

( a ) x = 6 ( b ) x = 14

Step-by-step explanation:

[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]

HOPE IT HELPS!!!

I NEED BRAINLIEST ✌️ PLZ

Math help please show work I will mark Brainlist if correct

Answers

Answer:

Step-by-step explanation:

(1).

(a). 1 m ≈ 3.28 ft.

128 m ≈ 419.84 ft.

(b). 1 yd. ≈ 0.0009144 km

3910 yd. ≈ 3.58 km

(2). 1 m ≈ 0.0006214 mi.

10 000 m ≈ 6.2 mi.

let A=(1,2,3,4,5)which of the following sets are equal to A?
1.=(4,1,2,3,5)
2.=(1,2,3,4,5,6)
3.(x:x is interger & xsquare ≤ 25)
4.(x:x is a positive integer and x ≤5)
5.(x:x is a whole number and ≤ 5)

Answers

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

Worth 10 pts
Plssssssssssssssssss help
Will give brainliest

Answers

Answer:  [tex]2\sqrt{2}+\sqrt{3}\\\\[/tex]

a = 2 and b = 1

=======================================================

Explanation:

Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root

[tex]\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\[/tex]

In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2

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

At this point, we equate the non-radical and radical terms to get this system of equations

[tex]\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}[/tex]

The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)

Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.

We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).

If so, then we have these four possibilities

a = 2, b = 1a = -2, b = -1a = 1, b = 2a = -1, b = -2

If a,b are negative, then you'll find that [tex]a\sqrt{2}+b\sqrt{3}[/tex] overall is negative. But this contradicts that [tex]\sqrt{11+4\sqrt{6}}[/tex] is positive. So a,b must be positive.

Let's assume that a = 1 and b = 2. If so, then,

2a^2+3b^2 = 2(1)^2+3(2)^2 = 14

but we want that result to be 11 instead.

Let's try a = 2 and b = 1

2a^2+3b^2 = 2(2)^2+3(1)^2 = 11

which works out perfectly.

Therefore,

[tex]\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\[/tex]

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

Checking the answer:

Use a calculator to find that

[tex]\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\[/tex]

both have the same decimal approximation, so this is a fairly informal way to confirm the answer.

Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0

So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).

What is the fractional equivalent of the repeating decimal 0.3

Answers

Answer: 0.3 repeating as a fraction is equal to 1/3explanation:

gregory wants to buy a new video game system priced at $179.00. if the sales tax is 6%, what is the total amount he will pay for the video game system

Answers

Answer:

$189.74

Step-by-step explanation:

Since the sales tax is 6%,

179x0.06=10.74

Add to the starting price, 179.00+10.74=189.74!

I hope this helped!

PLEASE HELP MEE 1616,

What is the value of f in the equation 7f-1=6​

Answers

Answer:

f=1

Step-by-step explanation:

Answer:

Then vaule of f is 1

Step-by-step explanation:

The vaule of f is 1 because 7 x 1 = 7 - 1 =6

34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3​

Answers

Answer- 9 you have to add all the numbers together then divide but the amount of numbers there are

I need help ASAP √34x√y=34
What’s the answer !?

Answers

Answer:

y:3 4

Step-by-step explanation:

[tex]\sqrt{34} x \sqrt{y} :34\\\sqrt{34y}:34\\34y:1156\\[/tex]

[tex]y:34\\\sqrt{34} \sqrt{34}:34\\ 34:34\\y:34[/tex]

Mrs. Ramirez's income increased 140% last year. To model this percent, use ____________

A.grid #1 only

B.grid #2 only

C.grids #1 and #2 only

D.grids #1 and #3 only​

Answers

Answer: grid #1 and grid #3

Step-by-step explanation:

grid 3 is 100% out of 100% making one whole and grid 1 has 40 out of 100 squares filled. 100 + 40 = 140/140%

If the circumference is 56cm find the area of the circle

Answers

Answer:

The First answer

Step-by-step explanation:

56 divided by 2 is the radius which is 28 and that squared times pi is 2464

What is the measure of ZR?
8
8
P
R.
A. 32°
B. 40°
O
C. Cannot be determined
D. 64°

Answers

Answer:

option A

Step-by-step explanation:

since the two sides of the triangle are equal the given triangle is an isosceles triangle.

Base angles of an isosceles triangle are equal.

angle P = angle R

32 degree = angle R

The measure of <QRP = 32 degree.

What is an Isosceles Triangle?

An isosceles triangle is one with two sides that are the same size and a third side that is a different size.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.

We have,

A triangle whose two sides are 8 unit each and an angle 32.

As, we know a triangle whose two sides are equal is said to be isosceles triangle.

So, the given triangle is isosceles.

Now, angle opposite to equal sides are also equal.

so, <QPR = <QRP = 32 degree

Learn more about isosceles triangle here:

https://brainly.com/question/2456591

#SPJ7

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