Answer:
The equation of the line passing through the points (4, 6) and (0, 6) will be:
The graph of the equation y = 6 is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the points
Finding the slope between (4, 6)and (0, 6).
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 6] / [0 - 4]
= 0 / -4
= 0
Thus, the slope of the line = m = 0
The slope m = 0 means the line is horizontal. Because the slope of the horizontal line is 0.
As the y-values are not changing with respect to the x-values.
Therefore,
The equation of the line passing through the points (4, 6) and (0, 6) will be:
The graph of the equation y = 6 is also attached.
The volume of the prism 121.6 cube in.
Step-by-step explanation:
Given,
The base is right angle triangle whose two sides are equal.
So,
Base (b) = 8 in
Another side of right angle triangle (l) = 8 in
Height (h) of the prism = 3.8 in
To find the volume of the prism.
Formula:
V = bhl
Now,
V = ×8×8×3.8 cube in
= 121.6 cube in.
Answer:
a.(10,23)
b.(7,30)
e.(20,20)
Step-by-step explanation:
We are given that
x=Width of garden
y=Length of garden
According to question
Perimeter of rectangle=
Where x=Width of rectangle
y=Length of rectangle
Fencing used =
First we change inequality into equality
...(1)
...(2)
...(3)
Substitute x=0 in equation (3)
Substitute y=0 in equation (3)
Substitute x=0 and y=0 in equation (3)
It is true. Therefore, the shaded region below the line.
These are false equation .Therefore, the shaded region above the line.
Substitute x=5 in equation (3)
Substitute y=20 in equation (3)
Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).
Now,
a.(10,23)
Substitute in
10>5 and 23>20
it satisfied all inequality.
Hence, it is a solution.
b.(7,30)
7>5
30>20
it satisfied all inequality.
Hence, it is a solution.
c.(18,25)
18>5
25>20
It does not satisfied third inequality
Hence, it is not a solution.
d.(8,35)
8>5
35>20
It does not satisfied third inequality
Hence, it is not a solution.
e.(20,20)
20>5
20=20
it satisfied all inequality.
Hence, it is a solution.
Answer:
See below
Step-by-step explanation:
images attached showing all working
a) The possible values of X are as follows
X = {0,1,2,3,4}
P(x) = P(X=x)
b) The cdf in this case, as in the F(x), comes out to be a step function graph on the basis of values obtained from the probability mass function.
c) To find out the probability when more women are interviewed than me, add together the matrices from when value of X is equal to 2, 3 and 4 (from part a).
Answer:
As per the given statement:
€1 = £0.72
Find how much is €410 in £.
then;
€410 = = £295.2
Hence, £295.2 much is €410.
to find, the exchange rate of £ to €:
€1 = £0.72
Divide both sides by 0.72 we get;
£1 = €1.389