Complete the square: x^2-8x+21=6

Please show work

Answers

Answer 1

Answer:

x=5 and 3

Step-by-step explanation:

x^2-8x+21=6

x^2-8x+21+16=6+16

(x-4)^2=1

(x-4)=±1, x=5 and 3

Answer 2

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Related Questions

Help please due tomorrow

Answers

To make a scale factor you need to get to shapes of similar shape. As you can see two of the vertical sides are of similar shape soo.
We take the original over the scaled

2/6
Then simplify
1/3

Please brainlist ty :)

this whole thing hurts my brain.

Answers

Answer:

1.) C. 32

2.) Stem-and-leaf plot

Step-by-step explanation:

    This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:

20, 28, 29, 29, 31, 32, 36, 41, 42

    Now, to find the mean, add up all the numbers and divide the sum by the number of values.

(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32

What is the relationship between the 6s in 675,002 and 385,621

Answers

Answer:

The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.

1/2ac2 where a =5 and b=2​

Answers

I’ll assume the c is b. (1/2) x (5) x (2) x (2) is 10

Answer: 10

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assumed that the [1/2] in [1/2ac2] is a single term and [c2] in [1/2ac2] is b². If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Given information

a = 5

b = 2

Given expression

(1/2) · a · b²

Substitute values into the expression

=(1/2) · (5) · (2)²

Simplify exponents

=(1/2) · (5) · (4)

Simplify by multiplication

=(2) · (5)

=10

Hope this helps!! :)

Please let me know if you have any questions

cho khối trụ r = 4 và h = 3, thể tích của khối trụ bằng bao nhiêu?

Answers

Answer:

12

Step-by-step explanation:

hi vọng điêu nay co ich

the height of each door on the plan is given 1,5cm but the height of each door is 1,92m is an actual size.show that the scale of the house is 1:128​

Answers

Answer:

It is.

Step-by-step explanation:

1.5cm is in the plan.

1.92m is in real life.

We need to convert m to cm so 1.92m=192cm

The ratio is 1:128.

1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.

We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):

1.5 : 192 = 1 : 128

Then we multiply the numbers that are in and out of the equation like this:

1.5 * 128 = 192 * 1

192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128

How would I write a number subtracted from 2 times a number is 19

Answers

21-2=19
hope this helps!!!
sorry if it’s not what you were asking:(

You just got your quiz back from your teacher and it says that you received a 27/45; therefore
your grade on the quiz is a? (percentage)

Answers

27 divided by 45 = 0.6 = 60%

The order that took the longest is represented by point…?

This order had___? Cakes and took___ minutes to decorate.

Answers

Point D had an order of 4 cakes and took 120 minutes to decorate.

What is
6+4-3+9x10-7+3x28-2=

Answers

Answer:

172

Explanation:

172 is the answer to the question

Find the absolute values
| -7| =7 | -6 | =6

Answers

Answer:

7, 7, 6, 6

Step-by-step explanation:

Answer:

6.6.7.7

Step-by-step explanation:

that is we remove the subtract sign (negative sign)

Given g (x)= -x -2 find g (-5)

Answers

Answer:

g(-5) = -7

Step-by-step explanation:

given:

[tex]g(x) = -x-2[/tex]

find:

[tex]g(-5) [/tex]

~~~~~~~~~~~~

➡️ [tex] g(-5) = -(-5) - 2[/tex]

➡️ [tex] g(-5) = -(-5 - 2) [/tex]

➡️ [tex] g(-5) = -7 [/tex]

FIRST TO ANSWER CORRECTLY GETS BRAINLIEST!!!

Answers

Answer:

6ft by 15ft

Explanation:

L1 = 10 ft

W1 = 4 ft

L2 = L1*(3/2)

W2 = W1*(3/2)

L2 = 10 ft times (3/2) = 15 ft

W2 = 4 ft times (3/2) = 6 ft

I hope this answer helps you out!

solve the equation 3 cos 2 theta + sin theta = 1 for values of theta from 0 degrees to 180 degrees​

Answers

Step-by-step explanation:

Recall that

[tex]\cos{2\theta} = 1 -2\sin^2\theta[/tex]

so we can write our original equation as

[tex]3 - 6\sin^2{\theta} + \sin{\theta} = 1[/tex] or

[tex]6\sin^2{\theta} - \sin{\theta} - 2 =0[/tex]

Let [tex]x = \sin{\theta}[/tex] so our equation becomes

[tex]6x^2 - x - 2= 0[/tex]

which gives us two roots: [tex]x = -\frac{1}{2}[/tex] and [tex]x = \frac{2}{3}[/tex].

This is equivalent to [tex]\theta = 150°[/tex] and [tex]\theta = 41.8°[/tex]

5/5*5/10*5/15*5/20*5/25

Answers

Answer:

8/20

Step-by-step explanation:

Triangle ABC has vertices A(0,7),B(5,-5),and C(10,7). Find the area of triangle ABC?.​​

Answers

Answer:

60 units²

Step-by-step explanation:

A = ½bh

Let the horizontal line AC be the base which has a length of 10 along the line y = 7

The vertical distance between this line and point B is 7 - (-5) = 12

A = ½(10)(12)

Irene has a checking account. On Monday she writes a $160 check for groceries. Then she deposits $125
into her account. Finally, she writes another check for $40. What was the total change in the amount of
money in Irene's account on Monday?

A. $85
B. - $85
C. $75
D. -$75
E. $325
F. - $325

Answers

Answer:

D. - $75

Step-by-step explanation:

We mark checks as negative and a deposit as positive:

- 160 + 125- 40

Add up to get the total change of:

-160 + 125 - 40 = - 75

Correct choice is D

Answer:

Answer :-

Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>

-40 - 35

-75

Option D is correct mate!

An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are AB = 10 inches and AC = 14 inches.

Answers

Answer: BX = 7  

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

Explanation:

For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).

This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.

Answer:

7

Step-by-step explanation:

Why do both of these show 27,974

Answers

In Indian numerical system (or number system) is a written system that is adapted for representing numbers within India.

This is a mathematical notation to consistently represent data of a certain set, with numbers or other symbols.In the numbering system that is implemented in India to write numerals. We utilize ten symbols to symbolize the numbers in the Indian Number System.In the Indian system, the next ten powers are known as one, ten, hundred, lakh, ten lakh, crore, ten crores,... etc.

Given:

27,974

[tex]\to \bold{20,000 +7,000+ 900+ 70 +4=27,974} \\\\\to \bold{27\ thousands + 97\ tens + 4\ ones =27,974}\\\\OR\\\\\to \bold{27\ thousands + 9\ hundred + 74 =27,974}\\\\[/tex]

Learn more:

brainly.com/question/21751836

if M∠ ABD =64 and M∠CBD=30 then M∠ABC=
Need help

Answers

Answer:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]

Substitute in known values:

[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]

And subtract. Hence:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

In conclusion, ∠ABC measures 34°.

PLEASE HELP WITH THE SCREENSHOT BELOW

Answers

Answer:

32.8

Step-by-step explanation:

well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8

6 takeaway -3 equals what?

Answers

6 - (-3) = 6 + 3

6+3 = 9

9 is your answer

5(x-7y)+8(3x+2y)= simplify

Answers

Answer:

It is 29x - 19y

Step-by-step explanation:

[tex]5(x - 7y) + 8(3x + 2y)[/tex]

open brackets:

[tex] = 5x - 35y + 24x + 16y[/tex]

group like terms together:

[tex] = (5x + 24x) + (16y - 35y)[/tex]

factorise out x and y :

[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]

Solve the equation.
} (a + 2) = {(2-a)
WWW.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)

Answers

B…………..5,fcgxrceecevvwwve

The school choir ordered 436 pumpkin pies to sell as a fundraiser. The pies were shipped in 4 bins. Each bin held the same number of pies how many pies were in each bin

Answers

109 pumpkins

Step-by-step explanation:

I don't think this is right but

168/-294 in rational number​

Answers

Answer:

It is -4/7

Step-by-step explanation:

[tex] \frac{168}{ - 294} \\ \\ = - \frac{4}{7} [/tex]

Answer:

168/-294 × 5/5 = 840/1470

= - 840/ 1470

= 1470

I get paid $28 per hour i worked on Friday, Saturday and Sunday I got $168 on Friday, $112 on Saturday and $196 on Sunday. What is the total number of hour i worked on these 3 days? answer quick pls

Answers

Answer:

17 hours

Step-by-step explanation:

Add up the total amount earned

168+112+196 = 476

Divide by the amount earned per hour

476/28 = 17

17 hours worked over the 3 days

enter the range of values for x:

Answers

12x because you multiply it

Given the recursive sequence defined by:
tn=5tn-1 + 3tn-2
with ti=2 and t2 = 4
Which of the following would be the first 5 terms of the sequence?

Answers

Answer:

2, 4, 26, 142, 788

Step-by-step explanation:

Using the recursive rule and t₁ = 2, t₂ = 4 , then

t₃ = 5t₂ + 3t₁ = 5(4) + 3(2) = 20 + 6 = 26

t₄ = 5t₃ + 3t₂ = 5(26) + 3(4) = 130 + 12 = 142

t₅ = 5t₄ + 3t₃ = 5(142) + 3(26) = 710 + 78 = 788

First 5 terms are 2, 4, 26, 142, 788

A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.​

Answers

Find the distance between A and B, AB,

[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]

Next, find the distance between B and C, BC,

[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]

The equation is,

[tex]10=2\sqrt{(t-3)^2+1}[/tex]

[tex]25=(t-3)^2+1[/tex]

[tex]t^2-3t+10=25[/tex]

[tex]t^2-3t-15=0[/tex]

Use quadratic formula to get possible values of t,

[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]

[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]

Hope this helps :)

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