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Mathematics

1 answer:

hichkok12 [17]4 years ago

5 0

Use the Pythagorean Theorem: 10^2 + b^2 = 12^2
so b^2 = 144-100 = 44
b=sqrt(44)
b=2sqrt(11)
b is the width

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Harrizon [31]

The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

6 0

3 years ago

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.

creativ13 [48]

According to the given table the line of best fit is

f(x)=4.54x+77.84

The term "line of best fit" describes a line that passes across a scatter plot of data points and best captures their connection. Statisticians often utilise regression analysis software or manual computations to arrive at the geometric equation for the line using the least squares approach. A straightforward linear regression study of two or more independent variables will provide a straight line.

Hence, as asked by the question we need to find the time at which the tempurature will become 100°C.

To find that let us put f(x)=100 and find out the value of x for which it is satisfied.

4.54x+77.84=100

⇒ $x=\frac{100-77.84}{4.54}=4.88$