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murzikaleks [220]
3 years ago
15

Which of these polynomials will make the following equation true​

Mathematics
1 answer:
Amanda [17]3 years ago
4 0
Poop I think good luck but it’s b x2-
512
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A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of th
Bezzdna [24]

Answer:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

x^2 +10 x -1400 =0

And we can use the quadratic formula given by:

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

Where a =1 , b=10 , c= -1400

And replacing we got:

x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}

And solving we got:

x_1 =32.75 , x_2 = -42.75

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Step-by-step explanation:

For this case we know that we have a rectangular playground and the area can be founded with this formula:

A = xy

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

y = 10 +x

And replacing this formula into the area we got:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

x^2 +10 x -1400 =0

And we can use the quadratic formula given by:

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

Where a =1 , b=10 , c= -1400

And replacing we got:

x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}

And solving we got:

x_1 =32.75 , x_2 = -42.75

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

8 0
3 years ago
Read 2 more answers
What two positive real numbers whose product is 50 have the smallest possible sum?
Llana [10]
X * y = 50
y = 50 / x
S = x + y = x + 50 / x
S` = 1 - 50 / x²
1 - 50 / x² = 0
50 / x² = 1
x² = 50
x = √ 50 = 5 √2
y = 50 / 5√2 = 5 √2
Answer:
Those numbers are: x = 5√2 and y = 5√2.
7 0
3 years ago
The price of an item yesterday was $115. Today, the price rose to $184. Find the percentage increase.
chubhunter [2.5K]

Answer:

60%

Step-by-step explanation:

184 - 115 = 69

\frac{69}{115} =.6\\\\

.6 × 100 = 60%

115 + 60% = 69

4 0
4 years ago
In how many ways can i arrange the 6 letters a, b, c, d, e, f?
Ivanshal [37]
If there are no restrictions, there can be; 

6 ways x 6 ways x 6 ways x 6 ways x 6 ways x 6 ways = 6^6 ways for the letters a, b, c, d, e and f to be arranged. 

However, if you want to arrange them so that each letter is used only once; 

6 ways x 5 ways x 4 ways x 3 ways x 2 ways x 1 way = 6! ways 

Hope I helped :) 
7 0
3 years ago
Find the length of the diameter of a sphere with a volume of 523.6 km^3.
nika2105 [10]
10 km
First step: Divide 523.6 by 4/3
Second step: You'll get 392.7 from step one and you'll divide that by Pi.
Third step: you take the cube root of the number that you get from the second step and you'll get 125.
And you end up with 5 km, but it's the diameter so you must multiply by 2
Final answer: 10 km
7 0
4 years ago
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