expand and simplify
(y + 2) (y-2)

Answer:

x = 11.5, y = -5.5.

As an ordered pair this is (11.5, -5.5).

Step-by-step explanation:

2x+4y=1               Multiply this by 3:

3x+5y=7               Multiply this by -2.

6x + 12y = 3

-6x - 10y = -14       Adding these 2 equations:

0 + 2y = -11.

y = -11/2

y = -5.5.

Now plug this into the first equation:

2x + 4(-5.5) = 1

2x = 1 + 22

x = 23/2

x = 11.5.

Answer:

(n/3)/4 =20

Step-by-step explanation:

i think this is what your looking for if not im sorry

have a blessed day :)

Answer:

50 students

Step-by-step explanation:

24% students in a clan were absent in a day .

Hence, the Percentage of students present is calculated as:.

= 100 % - 24 %

= 76%

From the question, we know that:

If 38 students were present ,what is the total strength in the clan

The total strength of the clan = Total number of students. This is calculated as:

76% × x = 38 students.

76/100 × x = 38

76x /100 = 38

Cross Multiply

76x = 38 × 100

x = 3800/76

x = 50 students

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

[tex]a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour[/tex]

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

Answer:

11

Step-by-step explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.

Answer:

an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3

Step-by-step explanation:

As given ,

f(x) = x³ , g(x) = 9 , h(x) = 2x

Now,

f(2x) = (2x)³ = 2³.x³ = 8x³

⇒f(2x) = 8x³

Now,

[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]

⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]

∴ we get

f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1

Answer: 8 cm

Step-by-step explanation: 3^2 = 9 So, 72/9 = 8

Answer:

that looks hard sorry i cant help you good luk .

Answer:

Option D

Step-by-step explanation:

I dont really know but i think its D

Answer:

a

Step-by-step explanation:

Answer: 120

Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D

Answer:37

Step-by-step explanation:You multiply the ones that are in the parenthes

The Answer is 37, hope this helps.

Answer:

it would be 457.2 cm or if you want it simplified then it would be 457 cm

hope this helped :)

Given:

The terms of a sequence are given by

[tex]a_n=-1-4n[/tex]

To find:

The 100th term of the sequence.

Solution:

We have,

[tex]a_n=-1-4n[/tex]

Putting n=100, we get

[tex]a_{100}=-1-4(100)[/tex]

[tex]a_{100}=-1-400[/tex]

[tex]a_{100}=-401[/tex]

Therefore, the 100th term of the given sequence is -401.

Answer.

(x+4)×(x-7)

= x^2 - 7x + 4x - 28

= x^2 - 3x - 28

I hope it's helps you then please mark me as Brainlist so I can get next Rank Ace.

Please Follow me give To much thanks please.

Answer:

x = 40

Step-by-step explanation:

x + 100 +  x = 180 {Straight line angles}

2x   + 100 = 180      {subtract 100 from both sides}

         2x = 180 - 100

         2x = 80      {Divide both sides by 2)

           x = 80/2

          x = 40

Answer:

x=40

Step-by-step explanation:

2x+100=180

2x=180-100

2x=80

x=40

Answer:

x=4

Step-by-step explanation:

4x-3=5x-7

-1x-3=-7 Subtract the 5x on both sides

-1x=-4 Add the -3 to the -7

x=4

Answer:

8q7s6271 be ta up dkdieow

9514 1404 393

Answer:

Step-by-step explanation:

Let d, q, h represent the numbers of dimes, quarters, and halves Brian has. We can write 3 equations in these 3 variables:

  10d +25q +50h = 500 . . . . value of the coins, in cents

  d + q + h = 30 . . . . . . . . . . . total number of coins

  4h = q . . . . . . . . . . . . . . . . . four times as many quarters as halves

Using the last equation to substitute into the other two, we get ...

  10d + 150h = 500

  d +5h = 30

The second equation can be written as ...

  5h = 30 -d

and the first can be written to facilitate substitution:

  10d +30(5h) = 500

  10d +30(30-d) = 500 . . . . . substitute for 5h

  900 -20d = 500 . . . . . . . . . simplify

  400 = 20d . . . . . . . . . . . . . add 20d-500 to both sides

  d = 20 . . . . . . . . . . . . . . . . divide by 20

Brian has 20 dimes.

Answer:

D

Step-by-step explanation:

you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

Answer:

It is not correct, but very, very close, so great job!!

Step-by-step explanation:

When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.

The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.

Answer:

do your work and ask a teacher or parent for help to solve it and stop asking random strangers for the answer and learn how to do it. <3

Step-by-step explanation:

Answer:

(-7,-8)

Step-by-step explanation:

The original point is (8,7)

To reflect it, just switch their places and change their signs.

So, (-7,-8)

Answer:

X=44/7

Step-by-step explanation:

4x-8+3x=36

7x-8=36

7x=36+8

7x=44

X=44/7

Answer:

Step-by-step explanation:

82 - 17 + 53

= 188

Answer:

118

Step-by-step explanation: