Use the Perfect Square Trinomial and provide the first step to calculating 32^2 without a calculator.

(30 − 2)2
(30 + 2)2
(28 − 4)2
(28 + 4)2

Answer:

First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.

The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.

You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0

You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6

−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.

Step-by-step explanation:

I THINK IT HELP U

Step-by-step explanation:

putting X in place of sin we get,

4x²-5x-6

4x²-8x+3x-6

4x(X-2) +3(x-2)

(4x+3)(x-2)

putting back sin in place of X

(4sin+3)(sin-2)

[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]

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Answer:

  (0, -3)

Step-by-step explanation:

The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).

  Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)

  y = -3(1/1) = -3 . . . . . multiply by -3

The y-intercept is (0, -3).

Answer:

2/3 can be wrtten in three ways

Step-by-step explanation:

1: 6/9

2. 4/6

3.20/30

Answer:

The distance is always the opposite of the difference.The distance is the absolute value of the difference.

Answer:

The distance is the absolute value of the difference

Step-by-step explanation:

Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.

Answer:

-

Step-by-step explanation:

Answer:

The answer is right here for you!

Here it is:10x100

Step-by-step explanation:

NO,IT DEPENDS UPON SITUATIONS

IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......

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Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

Answer:

B. 3.09-3.10-3.2-3.5 is the answer

Answer:

C. 360°

Step-by-step explanation:

Two pairs form a complete angle with a sum of 360°.

Answer:

angle f=147 degrees (alternate angles)

angle e=    33 degrees

Step-by-step explanation:

angle d =147 degrees

angle f=147 degrees (alternate angles)

angle e +angle d=180 (allied angles)

        e+ 147         =180

                   e      =180-147

                    e     =    33 degrees

Answer:

2n+18

Step-by-step explanation:

2xn=2n

2x9=18

2n+18

Answer:

A) 3x+4

B) Twice of sum of a number and 9.

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Explanation:

Add sin(θ)

  cos(θ) = sin(θ)

Divide by cos(θ)

  1 = sin(θ)/cos(θ) = tan(θ)

Square both sides

  1 = tan²(θ)

Add 1

  2 = tan²(θ) = sec²(θ)

Take the square root

  √2 = sec(θ) . . . . for 0 < θ < π

_____

Additional comment

The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.

Answer:

10 meters

Step-by-step explanation:

Answer:

13x

Step-by-step explanation:

(x)(4(2)+5)

x(8+5)

x(13)

13x . answer

Answer:

[tex]\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}[/tex]

Step-by-step explanation:

Given that:

f(x) = x²

Put x = 4x + 5

f(4x + 5) = (4x + 5)²

f(4x + 5) = (4x + 5)(4x + 5)

f(4x + 5) = 4x(4x + 5) + 5(4x + 5)

f(4x + 5) = 16x² + 20x + 20x + 25

f(4x + 5) = 16x² + 40x + 25

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

A = P (1 + i)^n     where the principal P equals amount A after n periods

P = 1000     and i = .025 / yr

A1 = A (1.025) = 1025

A2 = A1 (1.025) = A (1.025)^2     etc

A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years

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Answer:

  a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is ...

  a(n) = a(1)×r^(n-1)

where a(1) is the first term, and r is the common ratio.

Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...

  a(n) = 1/2(-8)^(n-1)

Answer:

3+2/9 = 29/9

Step-by-step explanation:

examples:

4/9 = 0.444444

8/9 = 0.888888

3/9 = 0.3333333

7/9 = 0.777777

1/9 = 0.111111111

2/9 = 0.22222222

80/99 = 0.808080

67/99 = 0.6767676767

44/99 = 0.4444444

12/99 = 0.1212121212

345/999 = 0.345345345

i think you get the point.

so we know 2/9 = 0.22222, so now just add a 3:

3+ 2/9 = 27/9 + 2/9 = 29/9

5 students offers all the two subjects.

Student that offers Physic only = 15 students

Student that offers chemistry only  = 13 students

Students that offers only one subject = 28 students

Total student in the class = 35

20 offer physics.

18 offer chemistry

2 offer neither physics nor chemistry.

Therefore,

x = student that offer both subject

35 = 20 + 18 - x + 2

35 - 2 - 20 - 18 = -x

-5 = -x

x = 5

Therefore, 5 students offers all the two subjects.

Student that offers Physic only = 20 - 5 = 15

Student that offers chemistry only = 18 - 5 = 13

Students that offers only one subject = 13 + 15 = 28

learn more on Venn diagram here: https://brainly.com/question/27808502

#SPJ1

Answer:

Points A and B are represented on the number line.

А

B

-ht

-2

-1

0

1

2

Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.

Statement True or False?

IAI > IBI

False

IAI > 0

False

A>B

true

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Answer:

  y = 7

Step-by-step explanation:

The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...

  y = constant

In order for that line to go through a point with y-coordinate 7, the line must be ...

  y = 7

Answer:

100 yojan=how much km

1287.48

please brainlist

Answer:

Answer is 2x^2 + 1x - 15

Step-by-step explanation:

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match

Step-by-step explanation:

steps are in picture above.

if you need to ask questions I'll give you answers gladly.

Answer:

I think the answer is 30 percent