The equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)
find slope
slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(-3,2) and (2,1)
slope=(1-2)/(2-(-3))=(-1)/(2+5)=-1/5
pikc a point
if we pick (-3,2)
(x1,y1)
x1=-3
y1=2
y-2=-1/5(x-(-3))
y-2=-1/5(x+3)
that is D
Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
x - y = 0.6
y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
x/y = 0.6 . . . . . . . assuming y has the larger magnitude
The solution of the first pair of equations is
(x, y) = (1.5, 0.9)
The solution of the first and last equations is
(x, y) = (-0.9, -1.5)
The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.
Answer: 41.86 miles/hour
Step-by-step explanation:
Use Distance = Speed*Time to find the two missing values with the data that is provided for those two cases [<em>in brackets</em>].
MPH MILES HOURS
50 20 [<em>0.4]</em>
[<em>40</em>] <u>70</u> <u>1.75</u>
Totals 90 miles 2.15 hours
Average = 90 miles/2.15 hours
41.86 mph
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
Answer:
point G : (7,4)
point F : (7,1)
point J : (2,4)
point H: (5,4)
Step-by-steWhen you translate you take each point and move it how many units it asks you to move. In this problen you move each point 7 units to the right and 9 units up to get your answer.
