When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
is a step in the process?

Answers

Answer 1
Answer:-

Lets Solve

[tex] \\ \rm \longmapsto \: {x}^{2} - 8x - 7 = 0 \\ \\ \rm \longmapsto \: {x}^{2} - 8 {}^{}x = 7 \\ \\ \rm \longmapsto \: 4( {x}^{2} - 8x) = 4 \times 7 \\ \\ \rm \longmapsto \: {4x}^{2} - 32x = 28 \\ \\ \rm \longmapsto \: {(2x)}^{2} - 2 \times 2x \times 8 = 28 \\ \\ \rm \longmapsto \: (2x) {}^{2} - 2 \times 2x \times 8 + {8}^{2} = 28 + {8}^{2} \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 64 + 28 \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 92 \\ \\ \rm \longmapsto \: 2x - 8 = \underline{ + }9.3 \\ \\ \rm \longmapsto \:2x = 8 + 9.3 \: or \: 8 - 9.3 \\ \\ \rm \longmapsto \:2x = 17.3 \:or \: - 1.3 \\ \\ \rm \longmapsto \:2x = 17.3 \\ \\ \rm \longmapsto \:x = \frac{17.3}{2} \\ \\ \rm \longmapsto x = \:8.6[/tex]

Ignore negative value

Related Questions

Here's an equation of a line:
y - 4x = 4
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
4y + x= -8
y + 4x = 1
2y – 8x = -5
- 4y + x= -8

Answers

Step by step explaination

y-4x= -4

y= 4x-4

slope of the given eqn of line = 4

and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4

OPTION C , the eqn has slope = 4

PLEASE HELP ME !! I BEG

Answers

Answer:

d yr welcome

Step-by-step explanation:

Option 'B' is the correct option:

[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]

i will give brainliest.

Answers

Answer:

speed

Step-by-step explanation:

The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?

Answers

the width is 10. l x w = a. 8 x 10 = 80
The width is 10 because the area of a rectangle is lxw so I can do the opposite of multiplication which is division and I then divide 80 by 8 and I get 10

Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)

Answers

Answer:

y = -0.14286x + 1.2857

Step-by-step explanation:

Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.

Hope that this helps!

9514 1404 393

Answer:

  5x -7y = -3

Step-by-step explanation:

The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.

Find the new constant by using the x- and y-values of the given point.

  -7x -5y = 9 . . . . given equation

  -5x -7y = c . . . .  equation with coefficients swapped

  5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated

  5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3

The equation of the perpendicular line is ...

  5x -7y = -3

Which one is the correct answer above?

Answers

The answer would be the first one 32km

smallest to largest. Here are four decimal numbers: 0.9, 0.5, 0.8, 0.1

Answers

Answer:

0.1,0.5,0.8,0.9

Step-by-step explanation:

this is your answer : 0.1, 0.5, 0.8, 0.9

CAN ANYONE HELP ME WITH THIS PLEASE??

Answers

Answer:

The answer is A. 6.4 and 5.6 and D. 39 and 27.

Step-by-step explanation:

A. 6.4 and 5.6 = 1.6 and 1.4

6.4 / 1.6 = 4

1.4 * 4 = 5.6

So A is correct.

D. 39 and 27 = 13 and 9

39 / 13 = 3

9 * 3 = 27

So D is correct.

Hope this helps! :)

Fill in the blank with the correct word.
When solving a numerical expression, you must add or subtract from left to type your answer...
order.
Please help!

Answers

………………………………………Right

what is 3x+8 + 4x+10

Answers

7x+18-answer

Step-by-step explanation:

3

+

8

+

4

+

1

0

3x+8+4x+10

3x+8+4x+10

Simplify

1

Add the numbers

3

+

8

+

4

+

1

0

3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}

3x+8+4x+10

3

+

1

8

+

4

3x+{\color{#c92786}{18}}+4x

3x+18+4x

2

Combine like terms

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]3x + 8 + 4x + 10[/tex]

Bring the like terms together & add them.

[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]

[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

╭═══════ღ❦ღ══╮

[tex]RainbowSalt2^{2}2^{2}[/tex]

╰══ღ❦ღ═══════╯

Jacob's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 8 senior citizen tickets and 3 child tickets for a total of $100. The school took in $132 on the second day by selling 6 senior citizen tickets and 7 child tickets.

Answers

Answer:

What is the question pls

Given that the area of the trapezoid is 55cm find x

Answers

Answer: The value of x is 13.

Step-by-step explanation:

Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]

Here , Parallel sides = 9 cm , x cm

Height (Altitude ) = 5 cm

Area = 55 sq. cm

Substitute all values in the formula , we get

[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]

Hence, the value of x is 13.

What is the equation of a circle with center (7, 2) and radius 2?

Answers

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

pls anyone that can help​

Answers

A. 34cm

Hope this helps! :)

Answer:

I think it’s b but I’m not 100% sure tho…

2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?

Answers

Answer:

Independent

Step-by-step explanation:

Since the ball is replaces, the same number of balls and type of balls are in the bag.  The draw is identical to the first draw so the draws are independent.

How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0

1. 2
2. 0
3. 1
4. 3

Answers

Answer:

Option 1: 2

Step-by-step explanation:

see the plotting (made with desmos)

note that 3 is impossible, because a quadratic equation can't have 3 real zeros

What is the value of x in the diagram below?

Answers

Answer:

Step-by-step explanation:

This is a parallelogram. In parallelogram, opposite sides are equal.

x + 3 = 6

     x = 6 - 3

    x = 3

Answer:

3

Step-by-step explanation:

parallelogram - top side = bottom side (parallel sides)

; x + 3 = 6

; x = 6 - 3

; x = 3

(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°

Answers

Answer:

Step-by-step explanation:

The degrees around a point = 360, so

1. x + 95 + 3y + 80 = 360 so

2. x + 3y = 185

3. 65 + 3y = 185 and

3y = 120 so

y = 40

Answer:

y=40

Step-by-step explanation:

sum of all 3 angles : 240

3y+240=360

3y=360-240=120

y=3÷120

y=40

find the product (3n-4)(3n-4)

Answers

Answer:

9n-8 is the product

Answer:

Search Quickmath in Chrome and

all problem will solve... I hope it helps and trust me it works

Solve for all solutions of p.

Answers

We are given the equation below:

[tex] \large{ {p}^{2} = \frac{9}{36} }[/tex]

Use the property below:

[tex] \large \boxed{ {x}^{2} = \frac{a}{b} \longrightarrow x = \pm \frac{ \sqrt{a} }{ \sqrt{b} } \: \: (a \geqslant 0 \: \: and \: \: b > 0)}[/tex]

From the equation:

[tex] \large{p = \pm \frac{ \sqrt{9} }{ \sqrt{36} } } \\ \large{p = \pm \frac{3}{6} \longrightarrow p = \pm \frac{1}{2} }[/tex]

Hence the answer is p = ± 1/2.

Answer

p = 1/2, -1/2p = ± 1/2

Both answers work. The second answer is in the plus-minus form.

Hope this helps! Let me know if you have any doubts.

If A = {1,3,5,7,9, B = {0,36 lotin
AUB.​

Answers

Step-by-step explanation:

a union b is 0 1 3 5 6 7 and 9 thank you very much please mark the answer as brainliest

Do the side lengths 7, 20 and 21 form a right triangle?

Answers

Answer: No, the side lengths do not form a right triangle.

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

Work Shown:

a^2+b^2 = c^2

7^2+20^2 = 21^2

49+400 = 441

449 = 441

We end up with a false equation, so the original equation is false for those a,b,c values.

By the pythagorean theorem converse, we do not have a right triangle.

Because a^2+b^2 > c^2, this triangle is acute.

Can I have answers need them?

Answers

answers and work are together
x = 6
1. 7x
7(6)
42
2. x/3
6/3
2
3. 29 - x
29 - 6
23
4. 36/x
36/6
6
5. 9x
9(6)
54
6. x + 41
6 + 41
47
7. 3x + x
3(6) + 6
18 + 6
24
8. 2x - 2
2(6) - 2
12 - 2
10
b = 2
c = 7
9. 5 + b + c
5 + 2 + 7
14
10. 16 + 2 - 7
18 - 7
11
11. c - b + 1
7 - 2 + 1
5 + 1
6
12. 9b - c
9(2) - 7
18 - 7
11
13. 7c - b
7(7) - 2
49 - 2
47
14. 4c + b
4(7) + 2
28 + 2
30
15. 12b + c
12(2) + 7
24 + 7
31
16. 22 + b - c
22 + 2 - 7
24 - 7
17
y = 8
d = 4
17. 6y/d
6(8)/4
48/4
12
18. 20/d + y
20/4 + 8
5 + 8
13
19. yd/2
8(4)/2
32/2
16
20. y/d + 6
8/4 + 6
2 + 6
8

Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years​

Answers

Answer:

50$

Step-by-step explanation:

5% of 500=25

If you earn 25 per year then in two years you will earn

25+25=50$

If Adrian were to spin the spinner 400 times, how many times could he
expect to get yellow? Use theoretical probability.

Answers

Answer:

c

Step-by-step explanation:

HELP HELP HELP HELP HELP

Answers

Answer:

C

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

Each row of the table represents a cone with a height of
9 inches and a different radius.
Is there a linear relationship between the radius and the
volume of these cones?
Here are your answers from the previous screen.
Yes
No
Radius (in.)
Volume (cubic in.)
1
91
2
361
3
8171

Answers

8171 9 inches and different radius

select the correct answer

Answers

The correct answer is the 5th option (one before the last one).

(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)

Answers

The foot of the ladder is
10
feet away from the base of the wall. [Ans]

Consultant plans a survey to determine what % of the patients in a particular hospital were satisfied with the care they received after a major treatment. How many such patients should be surveyed so the margin of error for a 90% confidence interval is within .05? Suppose it is known from a past survey that such a % may be about 80%.

Answers

Solution:

Required margin of error  = 0.05

Estimated population proportion p = 0.8

Significance level = 0.10

The [tex]\text{provided estimate population proportion}[/tex] p is 0.8

The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.

The number of patients surveyed to estimate the population proportion p within the required margin of error :

[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]

  [tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]

  = 173.15

Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and  it must be an integer number.

Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.

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