Answer: y ≤ -x + 2
<u>Step-by-step explanation:</u>
There are an infinite number of possible solutions.
Plot the two points, draw any line between them such that the two points are NOT connected, then choose the inequality symbol that shades (-1, 3).
Here is one solution that satisfies the requirements. y ≤ -x + 2
Here is another: y < -x + 3
And another: y > x + 3
And one more: y ≥ x + 4
Answer:
The original height of the tree is 18 m.
Step-by-step explanation:
Please see attached photo for explanation.
From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:
x² = 5² + 12²
x² = 25 + 144
x² = 169
Take the square root of both side
x = √169
x = 13 m
Finally, we shall determine the original height of the tree. This can be obtained as follow.
From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.
Thus, the original height of the will be the sum of 5 and x i.e
Height = 5 + x
x = 13 m
Height = 5 + 13
Height = 18 m
Therefore, the original height of the tree is 18 m.
Answer:
£30
Step-by-step explanation:
Let Brian initially had money in his wallet = £x
and Colin had the money = £y
Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1
Therefore,
⇒ x = 5y -------(1)
Brian spent £27 that day, so money left with him = £(x - 27)
After spending the money Brian had £3 less than Colin.
(x - 27) = (y - 3)
x = y + 27 - 3
x = y + 24 -------(2)
Now we equate the equations (1) and (2) for the value of x,
5y = y + 24
5y - y = 24
4y = 24
y = £6
From equation (2),
x = 6 + 24
x = £30
Therefore, Brian initially had £30.
i hope this helps
1. 1/6
2. 1/8
3. 80%
4. 1/5
5. 2/8 or 25%
