<h2>
Hello!</h2>
The answer is:
The correct option is:
C) ![4^{3}*4^{4}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B7%7D)
<h2>
Why?</h2>
To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:
![a^{m}*a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%2Aa%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.
So, we are given the expression:
![4^{3}*4^{4}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D)
We can see that both powers have the same base (4), so solving we have:
![4^{3}*4^{4}=4^{4+3}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B4%2B3%7D%3D4%5E%7B7%7D)
Hence, we have that the correct option is:
C) ![4^{3}*4^{4}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B7%7D)
Have a nice day!
To find the perimeter of the square, you add all four sides together:
10x + 10x + (6x + 8) + (6x + 8)
20x + 12x + 16 = P
32x + 16 = P
you have to find x to get the actual perimeter. Since the shape is a square, all 4 sides are equal, so you can set 10x and (6x + 8) as equal to each other.
10x = 6x + 8
4x = 8
x = 2
Now you just plug in x and finish the rest of the problem, and you have the answer:
32(2) + 16 = P
64 + 16 = P
P = 80
(if you find this helpful, marking this as the brainliest answer would make my day :)
The attached figures represent the transformations of the triangle ABC
<h3>How to draw the transformations</h3>
From the figure, the coordinates of the triangle ABC are:
A = (-2, 3)
B = (0, 2)
C = (3, 4)
Next, we carry out the required transformations on the above coordinates of the triangle ABC
<u>The rotation</u>
Here, we rotate the triangle 90 degrees clockwise across the origin
The rule of this transformation is:
(x, y) = (y, -x)
So, we have:
A' = (3, 2)
B' = (2, 0)
C' = (4, -3)
See figure (1) in the attachment for the graph of the rotation transformation
<u>The translation</u>
Here, we translate the triangle up by 3 units
The rule of this transformation is:
(x, y) = (x, y + 2)
So, we have:
A' = (-2, 5)
B' = (0, 4)
C' = (3, 6)
See figure (2) in the attachment for the graph of the reflection transformation
<u>The reflection</u>
Here, we reflect the triangle across the y-axis.
The rule of this transformation is:
(x, y) = (-x, y)
So, we have:
A' = (2, 3)
B' = (0, 2)
C' = (-3, 4)
See figure (3) in the attachment for the graph of the reflection transformation
Read more about transformation at
brainly.com/question/4289712
#SPJ1
We will use sine for this. Pls see the below explanation. Hope it helps but I’m not entirely sure as I do not know if you can choose any trigonometry law or must use a specific law. Good luck!
Answer:
1,300 students
Step-by-step explanation:
1864 - 564 = 1300