Mathematics High School

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Solve the following quadratic by
completing the square.
y = x2 + 2x - 6

No Links Or Im Reporting Solve The Following Quadratic Bycompleting The Square.y = X2 + 2x - 6

Answers

Answer 1

Answer:

x = - 1 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² + 2x - 6 = 0 ( add 6 to both sides )

x² + 2x = 6

To complete the square

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

x² + 2(1)x + 1 = 6 + 1

(x + 1)² = 7 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )

x = - 1 ± [tex]\sqrt{7}[/tex]

Related Questions

Simplify the following:

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP FOR A TEST IT'S DUE IN 5 MINUTES!

Floyd decides to invest $1,000,000 in a 20-year annuity that earns 4.6% APR compounded monthly. How much money will Floyd be paid each month from this annuity?

Answers

Answer:

$6380.38

Step-by-step explanation:

Floyd will be paid $2,504,880 each month.

What is Compound Interest?

Compound interest is an interest of interest to the principal sum of a loan or deposit. The concept of compound interest is the interest adding back to the principal sum so that interest is earned during the next compounding period.

Given that Floyd invests $1,000,000 in a 20-year annuity that earns 4.6% APR compounded monthly.

A = P(1+r)ⁿ

A = 1,000,000(1+0.046/12)²⁰⁽¹²⁾

A = 2,504,880

Hence Floyd will be paid $2,504,880 each month.

Learn more about compounded monthly click;

https://brainly.com/question/28964504

#SPJ2

Solve for x and round yout answer to the nearest tenth.

Answers

Answer:

x=21.35764429=21.4

Step-by-step explanation:

Take SOHCAHTOA

in this problem you're going to use SOH, which is sine= opposite/hypotenuse

sin31=11/x

Multiply by x as a way to isolate it

x(sin31)=11

divide my sin31 to isolate x

x=11/sin31

x=21.35764429

Answer:

The answer is 21.4 when rounded to the nearest tenth!

Step-by-step explanation:

can someone please factor this expression 27/x³- 8​

Answers

Answer:

(3x-2) (9xsquare+6x+4)

Answer:

Answer is below

Step-by-step explanation:

[tex]\frac{27}{x^{3} } -8= (\frac{3}{x})^{3} -2^{3} =(\frac{3}{x} -2)(\frac{9}{x^{2}}+\frac{6}{x}+4)[/tex]

(  from formula (a³ – b³) = (a – b)(a² + b² + ab)  )

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of
the tree house? Round your answer to the nearest tenth of a foot.

Answers

Answer:

63.6 feet

Step-by-step explanation:

[tex]sin (45)=\frac{x}{90}[/tex][tex]x=90 sin (45)[/tex][tex]x=45\sqrt{2}[/tex]x = 63.6 feet

PLEASE READ! HELPFUL INFORMATION

Answers

Answer:

u kind of forgot the attachment bestie

jillian buys 4 erasers that each cost $0.35.She makes the number line below to help her find the total cost. What is the total cost of the erasers?

Answers

Answer:

$ 1.40

Step-by-step explanation:

The total cost of the erasers is $1.40. You can come to this conclusion by multiplying 4 times 0.35, or using the number line by counting .35   4 times.

SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence
​

Answers

Answer:

Self esteem hope this helps

Serena has 6 pieces of fabric. Each piece is 5/8 yard long. What is the total length of the fabric

Answers

Answer:

3 3/4 yards

Step-by-step explanation:

6*5/8=3 3/4

What is the answer to the equation: 8+10

Answers

Answer:

18, the answer to 8+10 is 18, like you learn in 1st grade

Answer:

18 the answer

hope it helps

Plsssssss help me with thiss.​

Answers

Answer:

Step-by-step explanation:

you need to mutpliy all or your numders 17 x 4 x 8 x 9 = 4896m

HELP ME WITH THIS PLEASE.
THANKS LOVE U GUYS SO MUCH.

Answers

Answer:

48.

Step-by-step explanation:

1). <C = 74 because it forms a supplemetary angle 180- 106 = 74.

2). We know that the sum of all the angles in a triangle is 180 so we need to add them.

3). 4y + 3y +22 + 74= 180

4). simplify 7y +96=180

5). isolate y so we must subtract 96 from either side.

6). 7y= 84 now divide by 7 on each side. 84/7 = 12.

7). Now we know y = 12 and that angle A is equal to 4y.

8). <A = 4(12) now distrubute

9). <A= 48 degrees

GOD, BLESS!!!

HELP PLEASE!!!!!!!!!

Answers

Step-by-step explanation:

Hmm I saw this question before its C

Answer:

EF

Step-by-step explanation:

Solve each equation for points!!

Answers

Step-by-step explanation:

A = -7.

B = -8 x-(-6) is the same as x + 6

C = 13

D = 2

E = -3

can yall help me smart people

Answers

Answer:

D y>0

Step-by-step explanation:

(0,∞)

did u need to add water or take water away to get from the 4 cup mark to the 1 liter mark

Answers

Answer:

You have to add water.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

The decision to add water to meet the 4 cup mark of water would be:

Yes, the water must be added.

What is volume?

"Volume" is described as the measure of a space that consists of length along with height and width.

Given that,

1 liter of water contains 1000 ml.

The capacity of a standard cup is 236.59 ml

If we take 4 cups, the total volume equals:

= 4 × 236.59

= 946.36 ml

Therefore, .23 cups or 53.64 ml of water would be required to be added.

Learn more about "Volume" here:

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Refer to the figure below. Which of the following statements is true?

Answers

Answer:

c

Step-by-step explanation:

pLEASE HELP I'LL GIVE BRAINLIEST

Answers

Hope it helps you......

need help asapppppppppp​

Answers

Answer:

201.53[tex]m^{2}[/tex]

Step-by-step explanation:

That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.

Let's first find the hexagonal base.

The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m

Solve that to find that the area of the hexagon is 93.53m^2.

Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.

6 * 6 = 36

36 / 2 = 18

Hence, the area of one triangle is 18m^2

However, there are six triangles - not just one!

6 * 18 = 108

Adding everything up:

93.53 + 108 = 201.53

The answer is 201.53m^2

PLEASE HELP 30+POINTS, THESE ARE VERY IMPORTANT

Answers

The first one is D (2/16 X 7000)and the second one is B (3/8)

if your reading this please help meeee

Answers

Answer:

both angles are 92 degrees

Step-by-step explanation:

88+c=180

c=92

c and b are vertical angles and all vertical angles are equal

A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?

Answers

Answer:

Scalene triangle

Step-by-step explanation:

a scalene triangle has 3 uneven sides

Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.

Answers

Answer:

Step-by-step explanation:

700.5

PLEASE HELP ME,!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!
Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
Question options:

A)

2(9x + 4) = 86 – 12x – 18

B)

–2(9x + 4) = 12x + 18 – 86

C)

x = 2

D)

86 – 18x – 8 = 12x + 18

Answers

Answer:

D

Step-by-step explanation:

Answer: D) 86 - 18x - 8 = 12x + 18

x2–6x + 10 is to be written in the form ( x +a)2+ b Find the values of a and b.

Answers

Answer:

a = -3 and b = 1

Step-by-step explanation:

x² - 6x + 10

→ Half the second term and place it in the bracket

( x - 3 )²

→ Square -3

- ( 3 )² = -9

→ Place this outside the brackets along with plus 10

( x - 3 ) ² - 9 + 10

→ Simplify

( x - 3 ) ² + 1

When dividing two negative numbers does the order of the numbers matter? And why?

Answers

Answer:

It doesn't matter

Step-by-step explanation:

Negative by negative = positive

(4-1) (4-1) (4-1)
please do in algebric exp​

Answers

Answer:

27

Step-by-step explanation:

Correct me if i'm wrong but I read this as (4-1)x(4-1)x(4-1).

Ok so the first step to follow in the order of operation is to do the equations in the paranthesis. 4-1=3.

So it is like dis: 3x3x3.

First 3x3=9, then we do it again but to nine this time. 9x3=27. there u have it

also i cant change my answer or edit it so im sry if this answer is wrong and like- unchangable :/

When graphing c=12, would you use an closed circle or opened circle?

Answers

Answer:

closed

Step-by-step explanation:

because its = not -< or>-

Find the volume of the cone round your answer to the nearest tenth

Answers

Answer= V=134.04

V=πr2h

a. Adjacent

b. Linear Pair

c. Complementary

d. Supplementary

e. Vertical

Answers

Adjacent bc I did this yesterday
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