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genyjoannerubiera
31.01.2021 •
Mathematics
Need help with problems 16 and 17, please? I'll do brainiac the instructions say to write an equation for the graphs in slope-intercept form.
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Ответ:
16) y=-0.5x+3 and 17) y=2x-3
Step-by-step explanation:
16: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.
Since y=3 at x=0, the y-intercept is (0,3), and b=3.
Slope=
where (
) and (
) are two points on the line. Choose (0,3) and (2,2):
Slope=
=-0.5
Plug m=-0.5 and b=3 into y=mx+b:
y=-0.5x+3
17: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.
Because y=-3 at x=0, the y-intercept is (0,-3), and b=-3.
Slope=
where (
) and (
) are two points on the line. Choose (0,-3) and (1,-1):
Slope=
=
=2
Plug m=2 and b=-3 into y=mx+b:
y=2x-3
Ответ:
with speed of 18 feet per second the distance between the twins change.
Step-by-step explanation:
Here we have , Two twins are running away from their mother in opposite directions one with the speed of 10 feet per second and the other with the speed of 8 feet per second. We need to find How and with what speed does the distance between the twins change. Let's find out:
Two twins are running in opposite directions , Let us suppose one twin speed is denoted by
, i.e. 10 feet per second
⇒![v_1=10](/tpl/images/0583/3527/5d862.png)
Now , Speed of other twin is
, i.e. -8 feet per second . Minus sign shows the direction as this twin is moving in opposite direction :
⇒![v_2=-8](/tpl/images/0583/3527/aa13d.png)
Now, Difference in both speeds will give the change in speed between them :
⇒![v_1-v_2=10-(-8)](/tpl/images/0583/3527/e7b93.png)
⇒![v_1-v_2=18](/tpl/images/0583/3527/c6c47.png)
Therefore , with speed of 18 feet per second the distance between the twins change.