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lawyer [7]
3 years ago
5

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3) ?​

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
Slope form: y = mx + b
mx = 1/2x
y = 1/2x + b
Plug in points to find b
-3 = 1/2(2) + b
-3 = 1 + b
b = -4
Final equation: y = 1/2x - 4
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A new technology for the production of integrated circuits is being mastered. The technology will be rejected if the percentage
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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:

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And we can use the quadratic formula given by:

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And replacing we got:

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And solving we got:

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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

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3 years ago
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