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3 years ago

What is the equation of the line in slope intercept form?

Mathematics

1 answer:

Sladkaya [172]3 years ago

7 0

Answer:

y=3/5x+3

Step-by-step explanation:

The y-intercept which is the (+3) is taken from where the line crosses the y-axis.

The slop is found from rise over run, in this case, -5 to 0 is positive 5 this would go in the denominator, because we go from solid ground 0 to 3 without crossing another solid point, the numerator is 3.

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A typical soda can measures 12 centimeters tall and has a volume of 235.5 cubic centimeters. To the nearest whole number, how ma

lubasha [3.4K]

Answer:

228 cm²

Step-by-step explanation:

The volume of a cylinder of radius r and height h is given by ...

V = πr²·h

Filling in the given information, we can solve for r:

235.5 = π·r²·12

√(235.5/(12π)) = r ≈ 2.49937 . . . . cm

The area of a cylinder is given by ...

A = 2πr² + 2πrh = 2πr(r +h)

Filling in the radius and height, we can find the area to be ...

A = 2π·2.49937·(2.49937 +12) ≈ 227.698 . . . . cm²

About 228 cm² of aluminum are required to make a typical soda can.

3 0

3 years ago

Need help fast plz for my pre calc exam

bezimeni [28]

Answer:

<em>h = 8.54 units</em>

Step-by-step explanation:

<u>The Law of Cosines </u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

$c^2=a^2+b^2-2ab\cos x$

Since we know the values of all three side lengths, we solve the equation for x:

$\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}$

For the triangle ABC in the image, a=10, b=15, c=13, thus:

$\displaystyle \cos A=\frac{10^2+15^2-13^2}{2*10*15}$

$\displaystyle \cos A=\frac{156}{300}$

$\displaystyle \cos A=0.52$

Thus, A = 58.67°

For the right triangle of height h and hypotenuse 10, we use the sine ratio:

$\displaystyle \sin 58.67^\circ=\frac{h}{10}$

Solving for h:

$h = 10\sin 58.67^\circ$

h = 8.54 units

6 0

3 years ago

If 1/3 of students in a class like school and 1/3 of those that like school, like science, what is the fraction of students that

Amiraneli [1.4K]

1/3 multiplied by 1/3, which is 1/9
:)

5 0

3 years ago

Read 2 more answers

HURRY PLEASE PLEASE

Olegator [25]

Polynomials are algebraic expressions represented by variables and coefficients.

<h3>(a) How to determine the interval the open seats increased</h3>

This is the interval, where the open seats increase the same time the time in minutes increases.

From the graph, the open seats increases at the interval (100, 600)

<h3>(b) The time the first meeting ended</h3>

This is the first point where the curve changes its direction from decreasing values to increasing values

From the graph, the curve changes its direction at point (25,100)

Hence, the first meeting ended at 10:25 AM

<h3>(c) When there were 700 open seats</h3>

From the graph, we have:

(x,y) = (5, 700)

Hence, there were 700 open seats at 10:05 AM

<h3>(d) The average rate of change from 10:00 AM to 10:25 AM</h3>

At 10:00 AM, we have:

(x,y) = (0,800)

At 10:25 AM, we have:

(x,y) = (25,100)

So, the average rate of change is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

This gives

$m = \frac{100 - 800}{25 - 0}$

$m = \frac{-700}{25 }$

$m = -28$

Hence, the average rate of change from 10:00 AM to 10:25 AM is -28 people per minute