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Julli [10]
4 years ago
10

Which statement about the following system is correct?

Mathematics
1 answer:
grigory [225]4 years ago
8 0

D they do not intercect

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I NEED HELP ASAP
drek231 [11]

Answer:

80 / 5 = <u>40</u> / 5 + <u>40</u> / 5 = <u>10</u> + 6 = <u>16</u>

Step-by-step explanation:

80 / 5 = 16

__ / 5 + __ / 5

You can do 80 / 2 to fill in those two blanks because the answer needs to equal the same as 80 / 5

80 / 2 = 40

40 / 5 + 40 / 5

8 + 8 = 16

the third blank needs to also equal 16. So you can do 16 - 6 to know what fills in the blank.

16-6

10

10+6 = 16

The last blank must equal the same as all the other equations so 16 would fill it.

If you need further help, don't be afraid to reach out with any questions. I hope this helps!

3 0
3 years ago
Read 2 more answers
11 - y = 3 + 6x<br> I need to solve the literal equation for y, but I don’t get it
klio [65]

Answer:  y = -6x + 8

Step-by-step explanation:

11 - y = 3 + 6x

<u>-11       -11</u>

<u>-y = -8 + 6x</u>

      -1

y = -6x + 8

7 0
3 years ago
Read 2 more answers
Write the next 2 terms of the Fibonacci sequence starting with 2, 6, ....
Igoryamba

Answer:

8, 14

Step-by-step explanation:

Any term in a Fibonacci sequence is found as

a_{n} = a_{n-2} + a_{n-1}

Thus

a₃ = a₁ + a₂ = 2 + 6 = 8

a₄ = a₂ + a₃ = 6 + 8 = 14

The next 2 terms are 8, 14

7 0
3 years ago
Read 2 more answers
1. The beginning steps for determining the center and radius of a circle using the completing the square method are shown below:
svet-max [94.6K]

(1) Answer : (x^2 - 6x + 9) + (y^2- 4y + 4) = 3 + (9 + 4)

Step 1: x^2 - 6x + y^2 - 4y = 3

Step 2: (x^2- 6x) + (y^2 - 4y) = 3

In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides

The coefficient of x is -6. \frac{-6}{2} = (-3)^2 = 9

The coefficient of y is -4. \frac{-4}{2} = (-2)^2 = 4

Step : (x^2- 6x + 9) + (y^2 - 4y + 4) = 3 +9 + 4

(2) x^2 +  y^2 +  6x - 6y + 2 = 0

To find center and radius we write the equation in the form of

(x-h)^2 + (y-k)^2 = r^2 using completing the square form

Where (h,k) is the center and 'r' is the radius

x^2 +  y^2 +  6x - 6y + 2 = 0

(x^2 +  6x) +  (y^2  - 6y) + 2 = 0

In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides

(x^2 +  6x + 9) +  (y^2  - 6y + 9)  = -2 + 9 + 9

(x + 3)^2 +  (x - 3)^2 = 16

Here h= -3 and k=3 and r^2 = 16 so r= 4

Center is (-3,3) and radius = 4

(c) Step 1: x^2 + 8x + y^2 -  6y = 11

Step 2: (x^2 + 8x) + (y^2 -  6y) = 11

Step 3: (x^2 + 8x + 16) + (y^2 - 6y + 9) = 11 + (16 + 9)

Step 4: (x^2 + 8x + 16) + (y^2 - 6y + 9) = 36

We factor out each quadratic

(x^2 + 8x + 16) = (x+4)(x+4) = (x+4)^2

((y^2 - 6y + 9)) = (x-3)(x-3) = (x-3)^2

Step 5 :(x + 4)^2 + (y - 3)^2 = 6^2

5 0
3 years ago
A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 p
Romashka-Z-Leto [24]

Answer: 6.25%

Step-by-step explanation:

50 chicks were purchased at Rs. 60. The total cost of the chicks is:

= 50 * 60

= Rs. 3,000

10 of the chicks died which means the farmer was left with 40 chicks.

These chicks are sold at Rs. 80. Total revenue from the sales are:

= 40 chicks * 80

= Rs. 3,200

The profit is:

= 3,200 - 3,000

= Rs. 200

The percentage is:

= Profit / Revenue

= 200 / 3,200

= 6.25%

3 0
3 years ago
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