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KATRIN_1 [288]
3 years ago
7

PLEASE HELP ASAP 30 POINTS

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Answer:

I don't know how to do please let me I will try solve the question

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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
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A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear.
scoundrel [369]

Answer:

P(x) = 58x - 8,500

Step-by-step explanation:

The profit function can be modeled based on the two given points of format (P, x) that are ($1360, 170) and ($4260, 220). The slope of the function is:

m=\frac{4,260-1,360}{220-170}\\ m=58

Applying the general form of a linear equation, the profit function is:

P-P_0 = m*(x-x_0)\\P - 1,360=58*(x-170)\\P(x) = 58x -8,500

The profit as a function of units sold is P(x) = 58x - 8,500.

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4 years ago
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