We know that
<span>A (2, 11) and B (7, 1)
step 1
find the slope of a line AB
the slope m=(y2-y1)/(x2-x1)------> m=</span>(1-11)/(7-2)---> m=-10/5----> m=-2
step 2
find the equation of a line AD
we know that
the segment AB and the segment AD are perpendicular
so
m1*m2=-1
m2=-1/m1-----> m2=1/2
with the slope m2=1/2 and the point A(2,11)
y-y1=m*(x-x1)------> y-11=(1/2)*(x-2)----> y=(1/2)x-1+11
y=(1/2)x+10----> y=0.5x+10
the answer is the equation of a line AD is y=0.5x+10
see the attached figure
Answer:
A, D, F
Step-by-step explanation:
A. True, because represents quadratic function (the greatest power of x is 2)
B. False, because this function is quadratic, so cannot be linear
C. False. The vertex of the parabola is at point (-7,4) (see diagram)
D. True. The axes of symmetry is the line x=-7 that passes through the vertex.
E. False. The y-intercept is at point x=0 and
F. True. The graph has the maximum at vertex, where
G. False. The graph of the parabola intersects the x-axis at two points (-9,0) and (-5,0), so x=-9 and x=-5 are two real solutions of the equation f(x)=0.
Answer:
The number of 1/5 liter glasses that Lin can fill is
Step-by-step explanation:
we know that
To find out how many 1/5 liter glasses can Lin fill with a 1 1/2 liter bottle of water, divided 1 1/2 by 1/5
so
Convert mixed number to an improper fraction
substitute
Multiply in cross
Convert to mixed number
16. 8/5
17. 13/24
18. 17/4
19. -1/6