Answer:
The coordinates of ABCD after the reflection across the x-axis would become:
Step-by-step explanation:
The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:
- x-coordinate of the point does not change, but
- y-coordinate of the point changes its sign
In other words:
The point P(x, y) after reflection across x-axis would be P'(x, -y)
P(x, y) → P'(x, -y)
Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:
P(x, y) → P'(x, -y)
A(2, 3) → A'(2, -3)
B(5, 5) → B'(5, -5)
C(7, 3) → C'(7, -3)
D(5, 2) → D'(5, -2)
Therefore, the coordinates of ABCD after the reflection across the x-axis would become:
Answer:
dimension is 5cm * 4 cm
Step-by-step explanation:
As the plane is parallel to the base, the ratio between plane's length and width is equal to the ratio of that of the base. -> similar shape.
Moreover, it also divided the rectangular prism into 2 smaller rectangular prism. hence the plane is identical to the base. Hence, same dimension.
see photo
Answer:
$7.20
Step-by-step explanation:
If 8 pens cost $3.84, we need to find out how much ojne pen costs.
To find out the cost of one pen we need to divide $3.84 by 8.
$3.84 / 8 = $0.48
1 pen cost $0.48
We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.
$0.48 x 15 = $7.20
15 pens cost $7.20
Answer:
Step-by-step explanation:
let the length of rectangle=l units
width=9
p=2(l+9)
area=9l
9l=2(l+9)
9l=2l+18
7l=18
l=18/7 units
Answer:
a. The mean would be 0.067
The standard deviation would be 0.285
b. Would be of 1-e∧-375
c. The probability that both of them will be gone for more than 25 minutes is 1-e∧-187.5
d. The likelihood of at least of one of the taxis returning within 25 is 1-e∧-375
Step-by-step explanation:
a. According to the given data the mean and the standard deviation would be as follows:
mean=1/β=1/15=0.0666=0.067
standard deviation=√1/15=√0.067=0.285
b. To calculate How likely is it for a particular trip to take more than 25 minutes we would calculate the following:
p(x>25)=1-p(x≤25)
since f(x)=p(x≤x)=1-e∧-βx
p(x>25)=1-p(x≤25)=1-e∧-15x25=1-e∧-375
c. p(x>25/2)=1-p(x≤25/2)=1-e∧-15x25/2=1-e∧-187.5
d. p(x≥25)=1-e∧-15x25=1-e∧-375
