Answer:
(2,12)
Step-by-step explanation:
Original point is given as (2,-4) and the image point is give as (-3,6).
How do we get from x=2 to x=-3? We move left 5 units from x=2.
How do we get from y=-4 to y=6? We move up 10 units from y=-4.
So let's do this translation to the point (7,2)
Starting at x=7 we move left 5 units to get x=7-5=2.
Starting at y=2 we move up 10 units to get y=2+10=12.
The new point is (2,12)
The reason for this has to do with finding the area of a square. When you are looking for the area of a square, you use the rectangle formula (since a square is also a rectangle).
The formula is Area = Length * Width
However, since in a square, the length and width are the same, both get changed to the word "Side". As a result, we get the following formula.
Area = Side * Side
This can be simplified to:
Area = Side^2.
Since each number to the second power also shows the area of a square with that given length sides, it can also be called "squared".
2/3 could be one.
3/4 another one.
Or he could have had all the juice in his class (1/1=1)
X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.
<u>Given</u>:
The triangle ABC is a right triangle.
The length of AC = 25, the length of AB = 7 and the length of BC = 24
We need to determine the ratios of sin C, cos C and tan C.
<u>Ratio of sin C:</u>
Using the trigonometric ratio, the ratio of sin C is given by
where 
and 
Thus, we get;
Substituting the values, we get;
Thus, the ratio of sin C is 
<u>Ratio of cos C:</u>
The ratio of cos C can be determined using the trigonometric ratio.
Thus, we have;
where 
and
Substituting the values, we get;
Thus, the ratio of cos C is 
<u>Ratio of tan C:</u>
The ratio of tan C can be determined using the trigonometric ratio.
Thus, we have;
where and
Thus, we have;
Substituting the values, we get;
Thus, the ratio of tan C is
