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katen-ka-za [31]
3 years ago
15

ASAP Brainliest !!!! Answer both!!

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

question 20 )  19.1 feet

question 21)   24 clips

Step-by-step explanation:

<h2><u>Question 20:</u></h2><h3><u>Circumference of a circle </u></h3>

formula:

2\pi r

therefore we can find the radius (r) , also include the circumference of 60 feet.

2\pi r = 60

where \pi = 3.14

2 * 3.14 * r = 60

r = \frac{60}{2*3.14}

r = 9.554....

<h3>to find the diameter we can use the formula :</h3>

<em>diameter = radius * 2</em>

diameter = 9.554 * 2

diameter = 19.108

to 3 sf

<h3><u>diameter = 19.1 feet </u></h3>

<u />

<h2><u>Question 21</u></h2>

large binder clips each cost $ 1.50

amount for purchases is $ 36.00

therefore the number of clips bought can be regarded as (x)

the formula would be :

1.50 * x = 36

x = 36/1.5

<u>x = 24</u>

<u></u>

<h3><u>hence the mom bought 24 binder clips</u></h3>
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Step-by-step explanation:

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Bethany needs to solve the equation -x^2 + 4x = x - 4.
notsponge [240]

Answer:

The system of equations she could write is:

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   y = x - 4

The solutions are (-1 , -5) and (4 , 0)

Step-by-step explanation:

-x² + 4x = x - 4

That means two equations one quadratic which is in the left hand side and the other is linear which is in the right hand side.

They represented graphically by a parabola and a line, the solution of it will be the points of intersection of the two graphs

To find the system of equations take each side and equate it by y

∵ y = -x² + 4x

∵ y = x - 4

∴ The system of equations is:

   y = -x² + 4x

   y = x - 4

Let us solve this system using -x² + 4x = x - 4

∵ -x² + 4x = x - 4

- Subtract x from both sides

∴ -x² + 3x = -4

- Add 4 to both sides

∴ -x² + 3x + 4 = 0

- Multiply both sides by -1

∴ x² - 3x - 4 = 0

Let us use the factorization to solve it

∵ x² = (x)(x)

∵ -4 = (1)(-4)

∵ (x)(1) = x

∵ (x)(-4) = -4x

∵ x + -4x = - 3x ⇒ middle term

∴ The factors of x² - 3x - 4 are (x + 1)(x - 4)

- Substitute x² - 3x - 4 by its factors

∴ (x + 1)(x - 4) = 0

Equate each factor by 0 to find the values of x

∵ x + 1 = 0

- Subtract 1 from both sides

∴ x = -1

∵ x - 4 = 0

- Add 4 to both sides

∴ x = 4

Substitute the values of x in the equation y = x - 4 to find y

∵ y = -1 - 4

∴ y = -5

∵ y = 4 - 4

∴ y = 0

The solutions are (-1 , -5) and (4 , 0)

5 0
2 years ago
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