Answer:
Step-by-step explanation:
Tiffany's distance is defined by the equation,
d = 2.5t
Here, d = distance of Tiffany from the starting line
t = time
a). d = 2.5t
Tiffany's rate = 2.5 yards per second
b). Since, slope of a line passing through two points 
and 
is given by,
Slope = 
Therefore, slope of the line passing through two points (0, 10) and (10, 35)
= 
= 2.5 yards per second
Dion's walking rate = 2.5 yards per second
Equation that defines the distance of Dione,
d = mt + b
Here, m = rate of the walking by Dione
b = y-intercept
Hence, equation will be,
d = 2.5t + 10
c). If d = 60 yards
For Tiffany,
d = 2.5t
60 = 2.5t
t = 24 seconds
For Dion,
d = 2.5t + 10
60 = 2.5t + 10
2.5t = 50
t = 20 seconds
Therefore, Dion will take less time and finish first.
Answer:infinite
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x−54=6(x−9)
6x+−54=(6)(x)+(6)(−9)(Distribute)
6x+−54=6x+−54
6x−54=6x−54
Step 2: Subtract 6x from both sides.
6x−54−6x=6x−54−6x
−54=−54
Step 3: Add 54 to both sides.
−54+54=−54+54
0=0
If angle B is 90 degrees and a triangle always have a total angle of 180 both angle A and C are 45 degrees
Answer:
QR = 4x - 6
Step-by-step explanation:
A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.
From the question:
Perimeter of triangle PQR = PQ + PR + QR
But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.
Therefore substituting gives:
8x - 6 = (x + 1) + (3x - 1) + QR
8x - 6 = (x + 3x + 1 - 1) + QR
8x - 6 = 4x + QR
QR = (8x - 6) - 4x
QR = 4x - 6
