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elena-14-01-66 [18.8K]
3 years ago
12

Here’s a graph of a linear function. Write the equation that describes that function ??

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

In order to find this, start with two points that are on the line. We'll use (0, 1) and (1, 2). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(1 - 0)

m = 1/1

m = 1

Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = 1x

y = 1x + 1

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

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Out of 5,400 raffle tickets sold at the carnival, 180 are winners.
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Answer:

y=-x+r

Step-by-step explanation:

we know that

The tangency point on the x-axis is  (r,0)

The tangency point on the y-axis is  (0,r)

Find the slope of the line containing the points of tangency

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Remember that the equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

m=-1

b=r

substitute

y=-x+r

4 0
3 years ago
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