Answer:
Length of the longest side of ΔABC = 3 units
Step-by-step explanation:
If two similar triangles have a scale factor a:b, then the ratio of perimeters is also a:b.
Here, the converse is applied.
The perimeter of similar triangles is in the ratio 1:5, so, the corresponding lengths are also in the ratio 1:5
Perimeter of ΔABC : Perimeter of ΔDEF = 1:5
Longest side of ΔABC : Longest side of ΔDEF = 1:5
Longest side of ΔABC : 15 = 1:5
∴ Longest side of ΔABC = (1/5) * 15 = 3 units
Answer:y = 3x/4 + 4
Step-by-step explanation:
The equation of a line in the slope-intercept form is represented by
y = mx + c
Where c = y-intercept
Slope, m = change in the value of y on the vertical axis / change in the value of x in the horizontal axis.
change in the value if y is y2 -y1 and change in the value of x is x2 - x1
Where
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 4
y1=0
x2=0
x1 = -3
we can determine the slope.
Slope, m = (4-0) / (0- -3)
= 4/3
Let us pick points (0,4) to determine the intercept
Substituting x = 0 , y = 4 and m = 4/3 into the slope-intercept equation,
y = mx + c
4 = 3/4×0 + c
c = 4
Equation of the line in slope-intercept form is
y = 3x/4 + 4
Answer:
15 / 17
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
= (-9 + 24) / (8 + 9)
= 15 / 17
L*w=A
l*9=3
(l*9)/9=3/9
l=1/3 of a meter.
A car passes a landmark on a highway traveling at a constant rate of 45 kilometers per hour.
Let t be the time taken by second car
So t+1 is the time taken by first car
Distance = speed * time
Distance traveled by first car = 45 * (t+1)
second car passes the same landmark traveling in the same direction at 65 kilometers per hour
Distance traveled by second car = 65 * (t)
When second car overtakes the first car then their distance are same
65 t = 45(t+1)
65t = 45t + 45
Subtract 45 t from both sides
20t = 45
Divide both sides by 20
so 
It took 2.25 hours for the second car to overtake first car
