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Ostrovityanka [42]
3 years ago
10

2

Mathematics
1 answer:
Kamila [148]3 years ago
3 0
The first one is y=16
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If m ACD=100 degree,then m ECB=[?]
balu736 [363]

Answer:

100

Step-by-step explanation:

They are the same.

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Find a cubic function with the given zeros. (1 point) Square root of seven. , - Square root of seven. , -4
Debora [2.8K]

Given :

Three roots , \sqrt{7},\ -\sqrt{7},\ -4 .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

(x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0

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3 years ago
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Ira Lisetskai [31]
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3 years ago
A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0
3 years ago
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