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3 years ago

6

What is the slope-intercept form of the function that contains the point (8, 12) and has a slope of −2?

1 answer:

nata0808 [166]3 years ago

8 0

In order to change this into slope-intercept form you need to distribute the .-2 into the parenthesis and then add the 12 to the right side. Let me know if that helps!<span />

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Give an example of a rigid object

Ann [662]

– Examples: Smoke, Fire, Water, Wind, Leaves, Cloth, Magnets, Flocks, Fish, Insects, Crowds, etc

– Examples: Angry birds, Bodies tumbling, bouncing, moving around in a room and colliding, Explosions & Fracture, Drop the camera, etc…

Summarize rigid body simulation.

5 0

3 years ago

Read 2 more answers

What is the range of the function g(x)=[x]+1

Lerok [7]

<em>Assuming [x] means the closest integer to x</em>

Answer:

$(-\infty, \infty)$

Step-by-step explanation:

We can see that for any integer $x$ , there will always be a $[x]$ , so there will always be a $[x]+1$ . So, we don't need to worry about the domain impacting the range.

$[x]$ can be any integer from $-\infty$ to $\infty$ , and as $\infty+1=\infty$ (at least in terms of a function's range and domain), the range of $[x]+1$ is equal to the range of $[x]$ , which is $(-\infty, \infty)$ .

So, the answer is $\boxed{(-\infty, \infty)}$ and we're done!

6 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ <em>subtract 2x from both sides</em>

$3y=-2x+6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ <em>subtract 4/3 from both sides</em>

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ <em>multiply both sides by 3</em>

$3y=-2x+5$ <em>add 2x to both sides</em>

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines <em>k</em> and <em>l</em> are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago

Find the area under the standard normal distribution curve between z = 0 and z = 2.16.

Vladimir79 [104]

do you have a z table chart to look at?

find Z= 0 should show that z=0 = 0.500

and z=2.16 = 0.9846

subtract them

0.9846-0.500 = 0.4846 is the area

7 0

3 years ago

plzzzzz i vill give 5 stars a heart brainlyest if you can anwser this write 5(2j+3+1j)= using the commutive property

tatuchka [14]

Answer:

The answer would be 5 (3j + 3)

Step-by-step explanation:

The 5 outside the partheness would stay the same

2j + 1j = 3j

The 3 remains the same.

So our answer is

5(3j + 3)

5 0

3 years ago