Answer:
Step-by-step explanation:
Question
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.
perimeter of a triangle = AB+AC+BC
Using the distance formula
AB = sqrt(-2-5)²+(2-2)²
AB = sqrt(-7)²
AB =sqrt(49)
AB =7
BC = sqrt(-2+2)²+(2-5)²
BC = sqrt(0+3²)
BC =sqrt(9)
BC =3
AC= sqrt(-2-5)²+(2-5)²
AC= sqrt(-7)²+3²
AC =sqrt(49+9)
AC =sqrt58
Perimeter = 10+sqrt58
The value of p is 11. To find this, you must isolate the variable, p, so you divide 10 by both sides of the equation to get p=11.
We have been given that a rectangle has a height to width ratio of 3:4.5.
Let h be height and w be width of rectangle.
We can set our given information in an equation as:
Now we will substitute h=1 in this equation.
We can see that width of rectangle is 1.5 times height of rectangle.
Our one set of dimensions of rectangle will be: height=1 and width=1.5.
We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.
Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.
Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.
To dilate an object using a given scale factor we can multiply the coordinates of the object by the scale factor to get the coordinates of the image. However, this can only be done when the center of dilation is the origin (0,0). For non-origin center of dilation like in our case we have to locate the points of the image by construction in a Cartesian plane using the center and the scale factor. In this case we need to measure the distance of A from a point F (center of dilation) the we multiply it by 0.25 (the scale factor) then using the same path we measure the distance we get to locate point A'. Hence, by so doing point A' will be (1,0).
