Answer:
Question Answer
What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 4.5
What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 10.8
Step-by-step explanation:
There are 
ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are 
ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's 
way of doing that.
So we have
The last expression has a more compact form in terms of the so-called multinomial coefficient,
On a coordinate plane, a curve crosses the y- axis at (0,1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycle at 2 pi.
Answer:
17. y=1/2x+5
18. y=-2x+15
19. y=2x-7
Step-by-step explanation:
Number 17.
(4,7); parallel to y=1/2x-1
You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= 1/2
x= 4
y= 7
y-7= 1/2(x-4)
y-7= 1/2x-2
y=1/2x+5
Number 18.
(4,7); perpendicular to y=1/2x-1
You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= -2
x= 4
y= 7
y-7=-2(x-4)
y-7=-2x+8
y=-2x+15
Number 19.
f(3)=-1
f(4)=1
To write a linear equation, first find the slope with the slope formula.
x1= 3
y1= -1
x2= 4
y2=1
(y2-y1)/(x2-x1)
(1-(-1))/(4-3)
2/1
m=2
Use the point-slope formula and solve for the slope-intercept equation.
y-y1=m(x-x1)
y-1=2(x-4)
y-1=2x-8
y=2x-7
