A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. Each point of the image is distinguished from those of the pre-image by using a prime symbol.
Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex
.
The vertex form of a quadratic is
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare
to
, you should see that
.
So the vertex (h,k) is (-4,-7).
Answer:
The area is 15 feet
Step-by-step explanation:
So you are going to need two different equations-
l = w(3)
2l + 2w = 40
Insert the first equation into the second-
2(3w) + 2w = 40
Simplify this equation-
6w + 2w = 40
8w = 40
Divide both sides by 5
w = 5
Solve first equation
l = 5(3)
l = 15
Then find the area-
5 x 15 = 75
Answer:
Hence, the correct option is 82%.
Step-by-step explanation:
Consider the provided information.
In your university nursing program the ratio of students who scored a grade of A vs B vs C on the final exam is 12:29:9.
We need to find the percentage of student who scored a grade of "B" or higher.
Let x is the common factor for the proportion.
Then, the number of students who got grade A is 12x
The number of students who got grade B is 29x
The number of students who got grade C is 9x.
Thus the total number of students = 12x+29x+9x = 50x
The percentage of student who scored a grade of "B" or higher:
12x+29x = 41x

Hence, the correct option is 82%.
(-4,-1) because -1 × 4= -4 and -4=y