solve the problem attached in the image

Answer:

Option A

Step-by-step explanation:

We will simplify the expressions given in the options first,

x² - 16 = (x - 4)(x + 4)

2x + 8 = 2(x + 4)

x² + 8x + 16 = (x + 4)²

Option A

[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]

= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]

= [tex]\frac{x-4}{2(x+4)}[/tex]

Option B

[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]

= [tex]\frac{2}{x^2-16}[/tex]

Option C

[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]

= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{(x-4)(x+4)}{2}[/tex]

Option D

[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2(x+4)}{(x-4)}[/tex]

Therefore, Option A is the answer.

Answer:

2+2+2+2+2+2+4+4+2-4=18

Step-by-step explanation:

Good I guess

12 almost 13

female

you don't need either of those

Answer:

18

Step-by-step explanation:

im not answering those lol

Answer:

<1=73

Step-by-step explanation:

All triangles add up to 180 degrees!

Add 20 and 87

20+87=107

Subtract 107 from 180

180-107=73

Hope this helps! :)

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

Answer:

3/14

7/13

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

The conversion of Kilograms to Pounds is 1kg : 2.2lbs. So that means that if the weight of the baby doubles in pounds, then the weight would also double in kilogram

Answer:

Logically, yes

70 lbs = 31 kg

140 lbs = 62 kg

Answer:

the B graph

Step-by-step explanation:

Answer:

X= 42 degrees

Step-by-step explanation:

When combining 3x+12 and x, this results in a 180 degree angle to be formed. Therefore create the equation 3x+12+x=180 to get the value of X.

3x+12+x=180

4x+12=180

-12.     12

4x= 168

x= 42

Answer:

graph of polynomial function is smooth and continues graph it doesn't have gap and sharp line.

Step-by-step explanation:

first we make table to joine numbers on graph then we can join the number on the graph.

Answer:

50

Step-by-step explanation:

2/100 of X=1

Multiply both sides by 100 to remove the hundred base

The resultant will be 2x=100

X= 50

Answer:

Sum of the opposite pair of a cyclic quadrilateral is 180°.

c= 180-102= 78°

c= 180-102= 78°d= 180-92= 88°

 intercepted arc

=>2(102°)= 140+a°

a=64°

Simillarly

=> 2(d°)= a°+b°

b°= 112°

so ....

a=64°

a=64°b=112°

a=64°b=112°c=78°

a=64°b=112°c=78°d=88

hope it helps you ....

Answer:

9 is greater than or equal to b

Step-by-step explanation:

7 is greater than or equal to b+-2

(Add two to both sides)

9 is greater than or equal to b

Hope this helps

Answer:

The answer is below

Step-by-step explanation:

At Lidal shop, 4 toilet rolls is sold for £2.40. Therefore the cost of each toilet roll is given as:

Cost of each roll at Lidal = £2.40 / 4 = £0.60 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.60 per roll * 36 rolls = £21.6

At Oldi shop, 9 toilet rolls is sold for £4.68. Therefore the cost of each toilet roll is given as:

Cost of each roll at Oldi = £4.68 / 9 = £0.52 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.52 per roll * 36 rolls = £18.72

Answer:

1 1/8

Step-by-step explanation:

Answer:

j>54

Step-by-step explanation:

I don't have a step by step explanation but i hope this helps!!!

Answer:

7. f=35

8. r=4.9

9. q=23

Explanation:

7. f-22=13

+22 on both sides

f=35

8. r-3.2=1.7

+3.2 on both sides

r=4.9

9. q+8=25

-8 on both sides

q=23

Hope this helps :D

Answer:

Step-by-step explanation:

Answer:

x²+10-21=y

x²-11=y

x²=11+y

if you put value y =-11 than it can be resolve

x²=11-11

x²=0

x=0

Answer:

268

formula:

A= 2(wl+hl+hw)

Answer:

I think its positive. I'm not sure though lol.

Answer: zero

Step-by-step explanation:

learned this freshman year

9514 1404 393

Answer:

  (c) 108 yd

Step-by-step explanation:

For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...

  c² = a² +b²

Solving for c, we have ...

  c = √(a² +b²)

  c = √(40² +100²) = √(1600 +10000) = √11600

  c ≈ 107.70 . . . . yards

The length of the hypotenuse is about 108 yards.

Answer:

I-get-1181

Step-by-step explanation:

Sorry-if-wrong

Answer:

C. $40.50

Step-by-step explanation:

OK so, If 20 articles cost ? 90, then the cost of 9 articles is ?

First you need to find out how much is 1 article.. Divide 90 by 20 you get, $4.5. now multiply 4.5 by 9. Which you get... 40.5. In other words it can also be written as, 40.50.

Hope its correct ;w;

Answer:

D)

BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

Step-by-step explanation:

15²-12² = 9²

BC = 9

sin B = 12/15 = 0.8

∠B = 53.1°

The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

The length BC will be calculated as below:-

15²-12² = 9²

BC = 9

The angle B will be calculated as below:-

sin B = 12/15 = 0.8

∠B = 53.1°

Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

Answer: a= 1 b=-8 c=15

Step-by-step explanation:

A is the number before [tex]x^{2}[/tex]

B is the number (including the sign) before X

c is the number without a variable

Answer:

Yes

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Partition the figure by extending the sides of the ``middle'' square as shown at the right. Each original square contains four $3 \times 3$ small squares. The shaded figure consists of ten $3 \times 3$ squares, so its area is $10 \times 9 = \boxed{90\text{ square

units}}$.

In this exercise we have to use the knowledge of areas to calculate the area of ​​the square in gray, so we have that:

[tex]A=90[/tex]

First it is informed that one side of the square is 6, so every square has exactly:

[tex]l^2=6^2=36[/tex]

Adding that we have 3 squares with the same value of sides:

[tex]36*3=108[/tex]

However, there are areas that are being calculated twice in the central square, these areas are smaller squares that have side values ​​equal to 3, so:

[tex]l^2=3^2=9\\9*2=18\\108-18=90[/tex]

See more about areas at brainly.com/question/1631786

Answer:

30 minutes!!

Step-by-step explanation:

60 ÷ 12 = 5 seconds = 1 / 12 of a minute

5 x 6 = 30 seconds

answer:

30 > 4x + 2 and 6 books

step-by-step explanation:

30 > 4x + 2

30 > 4x + 2

28 > 4x

7 > x