I need help to find the other endpoint of the ling segment!

Mathematics

1 answer:

Wewaii [24]3 years ago

3 0

I think it is (10,-7) but lmk otherwise

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A manufacturer makes ball bearings out of molten steel. It takes 5.24 cubic centimeters of molten steel to make ? ball bearings

sammy [17]

<span>So we want to know how much ball bearings can be made with 5.24 cm^3 if one ball bearing has a diameter of 1 cm. We know that radius r=d/2=0.5cm So the volume V of one ball bearing is: V=(4/3)*pi*r^3 so V=(4/3)*3.14*(0.5)^3cm^3=0.524cm^3. Now we simply divide the volume of steel by the volume of the ball bearing: 5.24/0.524=10. So we can make 10 ball bearings from 5.24 cm^3 of steel</span>

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3 years ago

Identify the values of m and b of the linear function y = mx + b, graphed below.

Varvara68 [4.7K]

<h2>Finding the slope and y-intercept of a line given the graph</h2><h3>Answer:</h3>

$b = 4$

$m = -\frac{1}{3}$

<h3>Step-by-step explanation:</h3>

An equation of a line written in its Slope-intercept Form, $y = mx +b$ , has $b$ as its $y$ -intercept and $m$ as its slope.

$b$ or the $y$ -intercept is the $y$ -coordinate when $x = 0$ . On the given line, we can see that when $x = 0$ , $y = 4$ . It's $y$ -intercept is the point $(0,4)$ so $b = 4$ .

The slope, $m$ , of the line can be calculated by $\frac{y_2 -y_1}{x_2 -x_1}\\$ where $x_n$ and $y_n$ is the $xy$ -coordinates of any point $n$ on the line. In the given line, we can see that $(5,3)$ is on the line so this can be point $1$ . $(0,4)$ is also on the line (yes, you can also use the $y$ -intercept in calculating the slope of the line) so this can be our point $2$ .