What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12

Answer:

20%

Step-by-step explanation:

% increase = (final − initial) / initial × 100%

= (30 − 25) / 25 × 100%

= 20%

Answer:

The percent gain is 25%

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T

Answer:

(- 8, 2 )

Step-by-step explanation:

A shift of 3 left means subtract 3 from the x- coordinate

A shift of 1 down means subtract 1 from the y- coordinate

Translation rule is

(x, y ) → (x - 3, y - 1 ), thus

(- 5, 3 ) → (- 5 - 3, 3 - 1 ) → (- 8, 2 )

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

We are given the standard form of trinomial

[tex]ax^2+bx+c[/tex]

After factorization, the form is:

[tex](px+r)(qx+s)[/tex]

We have to compare the factored form and the standard form to find the values of a,b and c in terms of p,q,r and s. For this purpose, the factored form will be converted into standard form.

Multiplying the both factors

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Comparing both forms with each other

After comparing

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Answer:

66 bucks

Step-by-step explanation:

take 300 and 22% then subtract that answer from 300.

Step-by-step explanation:

Linear:

4x - y = 3

-6x = 3y - 17

x = y/5

non linear:

(x/2)^2 + 1 = y

y/x^2 = 4

2x^2 = 12 - 8y

Answer:

AAS

Step-by-step explanation:

Hope this helps

Answer:

look it up

Step-by-step explanation:

Try and find a way to look it up.

Answer:

Im gussing you are talking about this website/app you dont have to answer all the questios you ca skip them if you dont know them and find another one to answer

Step-by-step explanation:

Answer:

it is 4 i just did it

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

4

Answer: 1

Step-by-step explanation:

just did it on edg

Answer:

The answer is x = -8

Answer:

34.4x

Step-by-step explanation:

Answer:

34.4x

Step-by-step explanation:

40.8x-6.4x=34.4x

Answer:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Step-by-step explanation:

The slope of a line is denoted by m and is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Calculating the slope one by one for each pair.

(1,1) and (7,5):

Let m1 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (7,5)

Putting values in formula

[tex]m_1 = \frac{5-1}{7-1}\\= \frac{4}{6}\\=\frac{2}{3}[/tex]

(1,1) and (5,7):

Let m2 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (5,7)

Putting values in formula

[tex]m_2 = \frac{7-1}{5-1}\\m_2=\frac{6}{4} = \frac{3}{2}[/tex]

(2,5) and (-1,2):

Let m3 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-1,2)

Putting values in formula

[tex]m_3 = \frac{2-5}{-1-2}\\m_3 = \frac{-3}{-3} = 1[/tex]

(2,5) and (-7,-4):

Let m4 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-7,-4)

Putting values in formula

[tex]m_4 = \frac{-4-5}{-7-2}\\m_4 = \frac{-9}{-9} = 1[/tex]

Hence,

The points and their respective slopes are as follows:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Answer:

41.2

Step-by-step explanation:

you have to add 40.1 plus 1.1 to get you  answer

Answer:

[tex]\huge\boxed{2x^x-3x^x-x=-x^x-x}[/tex]

Step-by-step explanation:

[tex]2x^x-3x^x-x=(2-3)x^x-x=-x^x-x[/tex]

Answer: d n = 2p

Step-by-step explanation:

Answer:

x=pn/m

Step-by-step explanation:

Divide both sides by m to isolate x from the other variables.

mx/m = pn/m

cancel out the m where possible.

x = pn/m

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The triangle is right-angle so we are allowed to use the Pythagorean theorem.

According to the Pythagorean theorem :

[tex] ({XZ})^{2} = ({XY})^{2} + ({YZ})^{2} [/tex]

[tex] {65}^{2} = {56}^{2} + ( {YZ})^{2} [/tex]

[tex] {65}^{2} - {56}^{2} = ({YZ})^{2} [/tex]

[tex]( {YZ})^{2} = 1089[/tex]

[tex]YZ = \sqrt{1089} [/tex]

[tex]YZ = 33[/tex]

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Answer:

0.09125%

Step-by-step explanation:

Divide 73 by 800 and you will get 0.09125

Answer:

It should be %9.75

Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90

Answer:

(1, 3)

Step-by-step explanation:

Answer: B. 1, 3

Step-by-step explanation: On Edge!!!!

Answer:

Step-by-step explanation:

[tex]m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5[/tex]

Answer:

B

Step-by-step explanation:

We can use the following co-function identity:

[tex]\sin(x)=\cos(90-x)[/tex]

Substuting 35 for x yields:

[tex]\sin(35)=\cos(90-35)[/tex]

Subtract:

[tex]\sin(35)=\cos(55)[/tex]

Hence, our answer is B.

9514 1404 393

Answer:

  (a) after 5 minutes: tower 1 -- 1550 gallons; tower 2 -- 670 gallons

  (b) 1650-20m = 570+20m; m = 27 . . . minutes

Step-by-step explanation:

(a) At the rate of 20 gallons per minute, in 5 minutes the amount of water transferred will be ...

  (20 gal/min)(5 min) = 100 gal

That is, Tower 1 will have 100 gallons less: 1650 -100 = 1550 gallons

and Tower 2 will have 100 gallons more: 570 +100 = 670 gallons.

__

(b) The quantity in tower 1 is ...

  t1 = 1650 -20m

and the quantity in tower 2 is ...

  t2 = 570 +20m

These will be equal when ...

  t1 = t2

  1650 -20m = 570 +20m . . . . . equation for finding m

  1080 = 40m . . . . . . . add 20m-570

  27 = m . . . . . . . divide by 40

[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]

Answer:

decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3

Step-by-step explanation:

Answer:

4 + 2√3

Step-by-step explanation:

x - 2 = √4x

Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2

(x - 2)² = (√4x)²

x² - 4x + 4 = 4x

x² - 8x + 4 = 0

D = (- 8)² - 4(1)(4) = 48 = (4√3)²

[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641

[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root

Answer:9

Step-by-step explanation:

-2x+8=-10

-2x=-18

X=9

Answer:

9

Step-by-step explanation:

Subtract

8

8

8

from both sides of the equation

−

2

+

8

=

−

1

0

-2x+8=-10

−2x+8=−10

−

2

+

8

−

8

=

−

1

0

−

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9Subtract

8

8

8

from both sides of the equation

−

2

+

8

=

−

1

0

-2x+8=-10

−2x+8=−10

−

2

+

8

−

8

=

−

1

0

−

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9

Answer:

Step-by-step explanation:

 1    =     2  

  3      2 + x

2 + x = 3 (2)

x = 6 - 2

x = 4

The triangle ΔABC is similar to the triangle ΔADE. Then the value of the variable 'x' will be 4 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔABC is similar to the triangle ΔADE. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

2 / (2 + x) = 1 / 3

Simplify the equation, then we have

2 / (x + 2) = 1 / 3

6 = (x + 2)

x = 6 - 2

x = 4

The value of the variable 'x' will be 4 units.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

Step-by-step explanation:

This is an exponential decay, because the base is fraction < 1