rationalise the denominator by multiplying both top and bottom by (8-5√3) then expand and simplify
Multiply the numerator and denominator of the first question by 2 in order for both of the denominators to be the same.
1*2=2
3*2=6
Now that the denominators are the same, we can simply add the numerators and simplify if possible.
(2/6)+(1/6)= (3/6)
(3/6)= (1/2)
Final answer: 1/2
The 4th one is the answer
Answer:
-5
Step-by-step explanation:
-7 - (-2)
-7 + 2
Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2 to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.
Hope this helps:)
Answer:
Step-by-step explanation:
I assume that the three points given are the vertices of the triangle. So the three points are:
A (-4,1)
B (-7,5)
C (0,1)
The area of a triangle is given by:
where b is the base and h is the height.
Here we can take as follows:
- We can take the base to be the side AC, so that its length is equal to the distance between the two points:
- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:
Therefore, the area of the triangle is:
