The new value would be $134.40; 1.12 times 120
Hi,
Concept: The given problem is based on 3 Dimensional Geometry.
Consider three axes in defined space be x, y & z in their positive directions then - x , -y & -z be their negative axes.
The coordinate of given point A(x1, y1, z1) = (1, -3, 4)
If we take the reflection of point A about xz - plane x and z coordinates will remain same and y-coordinate will give its reflection. It means the value of y-coordinate will be changed which will be +ve 3.
Hence, the reflection of A(1, -3, 4) will be A'(x2, y2,z2= (1, 3, 4).
Answer:
The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.
Thus, domain of f(x): x∈R = range of f¯¹(x)
and range of f(x): x∈R =domain of f¯¹(x)
Mikayla subtracted 4 from both sides in the beginning when she should've added it to both sides to cancel it out on the right. the correct answer should actually be x=1
To find the area of the full shape, we can find the areas of individual smaller shapes and add them together. Lets break this up into a rectangle and a triangle.
The rectangle is easy to calculate as we already have its measurements. The area of a rectangle is h*w=A.
25*36=A
900=A
Next the triangle, and we need to do some logic work with the measurements to find the necessary measurements to take the area.
We know the base of the triangle is some part of 36 feet. We also know from the image that the part of the 36 that is not part of the base of the triangle is 12. Therefore, the base of the triangle is 36 - 12 = 24.
Now we need the height of the triangle. We know the height of the triangle is some part of 39, and the part that is not part of the triangle is 25. Therefore, the height of the triangle is 39 - 25 = 14.
We now have the height and base of the triangle and can find its area. The area of a triangle is 0.5wh=A.
0.5(24)(14)=A
168=A
Finally, we just need to add the two results together to find the total area.
168 + 900 = A
1068 = A
The total area of the shape is 1068.
