Answer:
Es 2.6
Step-by-step explanation:
You are given
a distance of 20 kilometers and time of 30 minutes. You are required to find
for the speed of the travelling object. The equation for speed is distance over
time. Speed is a scalar quantity. It tells you the direction of the travelling object.
The solution in this problem is,
Speed =
distance/time
Speed = 20
kilometers / 30 minutes
<u>Speed =
2/3 kilometers per minute or 0.667 kilometers per minute</u>
<span>Therefore,
the speed of the object is 0.667 km per minute.</span>
Answer: Length = 11 feet
Width = 6 feet
Step-by-step explanation:
A rectangle is a four sided shape that has 2 equal lengths,L and 2 equal widths,W
The perimeter of the rectangular piece of land is the total distance around it. It is expressed as
Perimeter = 2L + 2W = 2(L+W)
The perimeter is given as 34ft. It means that
34 = 2(L+W) - - - - - - - -1
The length of the rectangular piece of land is 5ft more than two times its width. It means that
L = W + 5
Substituting L = W + 5 into equation 1, it becomes
34 = 2(W + 5 +W) = 2(2W + 5)
2W + 5 = 34/2 = 17
2W = 17 - 5 = 12
W = 12/2 = 6 feet
L = W + 5 = 6+5
L = 11 feet
Answer:
D
Step-by-step explanation:
Since ∠ RPQ = ∠ SPQ = 60° , then
PQ bisects ∠ RPS and is an angle bisector
Answer:y = 3x/4 + 17/4
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the information given,
y2 = 5
y1 = 2
x2 = 1
x1 = - 3
Slope, m = (5 - 2)/(1 - - 3) = 3/4
To dedetermine the intercept c, we would substitute m = 3/4, x = 1 and y = 5 into y = mx + c, it becomes
5 = 3/4 × 1 + c
5 = 3/4 + c
c = 5 - 3/4 = 17/4
The equation becomes
y = 3x/4 + 17/4
