factorise (x+1)^2 + 4(x+1)

Answer:

x³+8 = x³+2³ = (x+2)(x²-2x+4)

a³+125 = a³+5³ = (a+5)(a-5a+25)

27a³+125b³

= (3a)³+(5b)³

= (3a+5b)(9a²-15ab+25b²)

Answer:

2. A

3. C

4. B

Step-by-step explanation:

2. To answer # 2, just add all the sides together...

(5x-7) + (3x-4) + (2x-6)

=  10x - 17

3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...

a) 28 divided by 7 is 4,  so divide the whole fraction by 7 to see if the fraction is proportional...  

  28/7 = 4

  49/7 = 7

   [tex]\frac{4}{7} =\frac{4}{7}[/tex]

b) 4 goes into 16  4 times so multiply [tex]\frac{4}{7}[/tex] by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] =  [tex]\frac{16}{28}[/tex]

c) 4 goes into 16 4 times so multiply the whole fraction by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] ≠ [tex]\frac{16}{35}[/tex]

d) 4 goes into 20 5 times to multiply the whole fraction by 5...

   4 x 5 = 20

   7 x 5 = 35

   [tex]\frac{20}{35} = \frac{20}{35}[/tex]

C is the answer because the fractions are not proportional.

4) 25% is a quarter of 100%. A third of 100% is 75%.

   $120 - 0.25($120) = $90

   Another expression for the for sale price is...

   B) 0.75($120) = $90

Answer:

Less

Step-by-step explanation:

[tex]6.17 < 6.187 [/tex]

Answer:

Correct option is

B

0

D

−1

sinx+sin2x+sin3x

=sin(2x−x)+sin2x+sin(2x+x)

=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]

=sin2x(2cosx+1)........(i)

cosx+cos2x+cos3x

=cos(2x−x)+cos2x+cos(2x+x)

=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]

=cos2x(2cosx+1).....(ii)

∴(sinx+sin2x+sin3x)

2

+(cosx+cos2x+cos3x)

2

=1

sin

2

2x(2cosx+1)

2

+cos

2

2x(2cosx+1)

2

=1.......[From(i)(ii)]

⇒(2cosx+1)

2

=1

⇒2cosx+1=±1

∴cosx=0or−1

Answer:

Hello,

4 hours

Step-by-step explanation:

Let say w the work clean one room.

h the number of hours worked

p the number of people who works

k is a constant

6w=k*h*p

3 h, 2 p==> 6w

6w=k*3*2 ==> k=w

5 p, 20 w ==>

20w=k*h*p

20w=w*h*5

20=h*5

h=20/5

h=4

It will take 4 hours.

Answer:

(1,-4)

Step-by-step explanation:

We add 4 to the x-coordinate, so -3+4=1.

Answer:

b

Step-by-step explanation:

2/(x+2)≠1/(x+1)

Answer:

hello its (1/4)x+4=3

Step-by-step explanation:

Answer:

188.495

Step-by-step explanation:

Given that,

h=7

r=3

Surface area of a cylinder = 2πr(h + r)

=2π×3(7+3)

=18.8495559215 (10)

=188.495

Answer:

25x^2 +40x+16

Step-by-step explanation:

(5x + 4)²​

(5x+4)(5x+4)

FOIL

first  5x*5x = 25x^2

outer  5x*4 = 20x

inner 4*5x = 20x

last = 4*4 = 16

Add them together

25x^2 +20x+20x+16

Combine like terms

25x^2 +40x+16

Answer:

[tex] {(5x + 4)}^{2} \\ = {(5x)}^{2} + 2 \times 4 \times 5x + {4}^{2} \\ = 25 {x}^{2} + 40x + 16 \\ thank \: you[/tex]

Answer:

root3

Step-by-step explanation:

multiply the numerator and denominator by the root of 3

3root2×root3/root3×root3

3root6/3

note root3×root3=3

the 3 up will divide the 3 down

and that lives u with the answer root2

sorry currently won't have a way of writing the roots thats y am using words

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

Step-by-step explanation:

a is the answer if is wrong I'm sorry

Answer:

division involves 5 steps:

D Divide

M Multiply

S Subtract

B Bring down

R Repeat or Remainder

Step-by-step explanation: i hope it helped

Answer:

6n i guess?

Step-by-step explanation:

think of as this

n=1 (1n)

n×6=n6

Answer:

6n

Step-by-step explanation:

when we say 6times a number,it means 6 multiplying the number

Solving expression

[tex]\\ \rm\Rrightarrow (62-42)3[/tex]

[tex]\\ \rm\Rrightarrow 3(20)[/tex]

[tex]\\ \rm\Rrightarrow 60[/tex]

Answer:

3 times the difference of 62 and 42

Step-by-step explanation:

(62−42)×3

The difference of 62 and 42 times 3

Answer:

between 10 and 22

Step-by-step explanation:

A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.

Difference: 16 - 6 = 10

Sum: 6 + 16 = 22

Answer: between 10 and 22

The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:

--------------------------------

To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.

Thus, factoring them, always by the same number:

12 - 18|2

6 - 9|3

2 - 3

The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.

--------------------------------

18 crackers, so each plate has 18/6 = 3 crackers.

12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.

A similar question is given at https://brainly.com/question/18454593

[tex] \large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

We know that, in ∆ABC,

∠A+∠B+∠C = 180°

But the triangle is right angled at C

ie., ∠C = 90°

Therefore, ∠A+∠B+ 90° = 180°

⇒ ∠A + ∠B = 90°

Therefore, cos(A + B) = cos 90º = 0

Answer:

x = 36

Step-by-step explanation:

Complementary angles add to 90 degrees

54+x = 90

x = 90-54

x = 36

Answer:

IF ABC and DEF are complementary then ABC + DEF = 90°

Therefore, DEF = 90° -ABC

Since DEF = 54° and DEF = x then

x = 90° -54°

x = 36°

Step-by-step explanation:

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]\frac{1}{25}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]5^{-2}[/tex]

In exponent form, it should be written as [tex]5^{-2}[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]a^{-m} = \frac{1}{a^{m}} \\\\\frac{1}{25} = \frac{1}{5^{2}}[/tex]

[tex]5^{-2}[/tex]

Learn more: brainly.com/question/17429689

Answer:

Answer 1 : 25/4

Answer 2 : 1/19

Step-by-step explanation:

Question 1:

x + 3x = 25

4x = 25

x = 25/4

Question 2:

2x+36x=2

38x = 2

x = 2/38

x = 1/19

Answer:

D

Step-by-step explanation:

Cos(D) = adjacent / hypotenuse

The adjacent side is the one making up angle  D

adjacent side = f

hypotenuse = e

Cos(D) = f/e

D = cos-1(f/e)

Answer:

Does the answer help you?

Answer:

The first one:)

Step-by-step explanation:

REMEMBER TO:

1. Give me Brainliest, please... (ASAP)

2. HAVE A WONDERFUL DAY!

Answer:

12 - 7 = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14 1/9 is close to - 14

-2 and 9/10 is close to - 3

The best estimate would be 42 (14 * 3)

Estimate means you put your calculator on the kitchen counter until you've done this question.

Let's see what the actual answer is. 40.92222 which is close to 41.

42 is a pretty good estimate.

Answer:

Step-by-step explanation:

P(A and B)=P(A)*P(B)

Answer:

3.667

Step-by-step explanation:

30 miles per cm means divide distance by 30 or

110/30 = 3.667

Answer:

Rectangular pyramid volume: 8×9×9/3 = 216 cm³

Rectangular prism volume: 8×9×7 = 504 cm³

Total volume of composite figure: 216+504 = 720 cm³

Answer:

720 cm³

Step-by-step explanation:

Rectangular pyramid:

Volume = [tex]\frac{1}{3}BH[/tex]

H = 9 cm

B-> base area =  area of rectangle

B = length * width = 8*9 = 72  square cm

[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]

Rectangular prism:

length = l = 8 cm

Width = w = 9 cm

Height = h = 7 cm

Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³

Volume of composite figure = volume of pyramid + volume of r. prism

      = 216 + 504

      = 720 cm³