Answer:
Piyush walks faster than Laura
Step-by-step explanation:
we know that
The rate or speed is equal to the slope of the linear equation
<em>Laura</em>
y=3.5x
The slope is 
<em>Piyush</em>
Determine the slope of the line
we have the points
(0,0) and (4,18)
The line represent a direct variation (because passes through the origin)
so
For x=4 h, y=18 mi
substitute
Compare the slopes
therefore
Piyush walks faster than Laura
Answer:
11/6
Step-by-step explanation:
As a mixed number, this is 1 5/6.
VX = 204
Divide by 3 to get the 2/3 , 1/3 ratio of the segments
204/3= 68
68*2= 136
VW= 136, XW= 68
Do the same for RW, RY
RW= 104 this is 2/3 of the segment. Divide by 2.
WY= 52. RY= 156
#7
Find the midpoint of each side. (0,2) (7,4) m1=(3.5,3)
(0,3) (5,0) m2=(2.5,1.5)
(5,0) (7,4) m3=(6,2)
Draw a segment from each midpoint to its opposite vertex. The point of intersection is (4,2)
Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1
The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x + 4 = 180
Subtract 4
8x = 176
x = 22
Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43
Quick check: 47 + 90 + 43 = 180
Answer:
slope
point-slope form
correlation
Step-by-step explanation:
If you have a line and you know the coordinates of a point on the line, (x1, y1); and you know the <u>slope</u>, m, you can write the equation of the line in <u>point-slope form</u>, y - y1 = m(x - x1). 2 variable data whose point pattern can be represented best by a line is said to have a linear <u>correlation</u>.
The slope, meaning how steep a line is, is represented by the variable m for linear equations.
y - y1 = m(x - x1) is point-slope form, one type of linear equation to represent a straight line. (There is also standard form and slope-intercept form).
Correlation is the relationship between things, like 2 variable data.
