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2 years ago

What is the point of intersection of these two lines? -4x + y = 8 2x - y = 4 (2, 0)

Mathematics

1 answer:

kotykmax [81]2 years ago

7 0

Answer:

(- 6, - 16 )

Step-by-step explanation:

Given the 2 equations

- 4x + y = 8 → (1)

2x - y = 4 → (2)

Adding the 2 equations term by term will eliminate the term in y

- 2x = 12 ( divide both sides by - 2 )

x = - 6

Substitute x = - 6 into either of the 2 equations and soilve for y

Substituting x = - 6 into (2)

2(- 6) - y = 4

- 12 - y = 4 ( add 12 to both sides )

- y = 16 ( multiply both sides by - 1 )

y = - 16

Solution is (- 6, - 16 )

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Help!!!!!!!!!!!!!!!!!!!!!!! Pleaseeeeee

klasskru [66]

Answer:

C) 43.96

Step-by-step explanation:

1. Use the formula to find the circumference of a circle whic is C= πR

2. First multiply the radius (7 in) by 2

3. 7 x 2 = 14

4. Then multiply 14 by 3.14

5. 14 x 3.14 = 43.96

5. There's your answer :)

Hope this helps :)

8 0

1 year ago

An airplane has 29 seats. The price for a coach seat is $600 in the price for a first class seat is $1050. The airline collected

In-s [12.5K]

Answer:

19 coach seats

Step-by-step explanation:

let the number of coach seats be C and number of first class seats be F

given that the total number of seats is 29,

C + F = 29 ---------(eq 1)

also given that each coach seat = $600, each 1st class seat is $1050 and a total of $21900 was collected,

600C + 1,050F = 21,900 -------(eq 2)

we have 2 equations and 2 unknowns, we can solve the system of equations by elimination

(eq 1) x 1,050 gives us:

1,050 (C + F) = 1,050(29)

1,050C + 1,050F = 30,450 ----- (eq 3)

by elimination, subtract eq 2 from eq 3

(1,050C + 1,050F) - (600C + 1,050F) = 30,450 - 21,900

1,050C - 600C = 8,550

450C = 8550

C = 855 /450

C = 19

7 0

3 years ago

What must you do if the base is not a triangle or rectangle?

nikklg [1K]

Answer:

please write complete question

7 0

2 years ago

Which one is greater root of 3 or 2?

DENIUS [597]

The root of 3 is greater

8 0

2 years ago

Read 2 more answers

PLEASE HELP!!!!!!! ALSO SHOW WORK

Dimas [21]

Answer: a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

Step-by-step explanation:

Since we have given that

Area of square pen = 529 sq. yd

Let the length of each side be 'a'.

As we know the formula for "Area":

$Area=a^2\\\\529=a^2\\\\\sqrt{529}=a\\\\a=23\ yd$

So, the perimeter of the square pen is given by

$4\times s=4\times 23\\\\=92\ yd$

So, perimeter of square pen = Perimeter of round pen

$92=2\pi r\\\\92=2\times 3.14\times r\\\\\dfrac{92}{2}=3.14\times r\\\\\dfrac{46}{3.14}=r\\\\14.64=r$

So, the diameter of round pen is $2\times r=2\times 14.64=29.29\ yd$

And the area of round pen is

$\pi r^2\\\\=3.14\times (14.64)^2\\\\=672.99\ sq.\ yd$

Hence, a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

3 0

3 years ago