Answer:
7a^4 +35a^2 +28a
Step-by-step explanation:
Area is the product of height and width:
area = height × width
= 7 × (a^4 +5a^2 +4a)
area = 7a^4 +35a^2 +28a . . . . . . use the distributive property
Answer:2
Step-by-step explanation:
Answer:
The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.
Answer:(x,y)=(8,18)
Step-by-step explanation:
Given
5x-2y=4-------1
Second Equation
-2x+y=2-----2
Now multiply equation 2 by 2 and it to equation 1
5x-4x+0=8
x=8
substitute it in equation 1

36=2y
y=18
Therefore
(x,y)=(8,18)
Answer:
58 units squared
Step-by-step explanation:
We want to find the area of the square. To do so, we need to find the hypotenuse of the right triangle because this coincides with the side length of the square.
We use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a^2 + b^2 = c^2
Here, a = 7 and b = 3, so:
7^2 + 3^2 = c^2
c^2 = 49 + 9 = 58
Now, the area of a square is: A = s^2, where s is the side length. Well, c is the side length, and we've already found what c^2 is (it's 58), so that means the area of the square is 58 units squared.
Thus, the answer is 58 units squared.