Answer:
I'm not good with the type of math on 3, so I'm going to answer 4. (P.S I don't know the question you're asking, so I'm going to assume you want to know the area and perimeter of the shapes.
Step-by-step explanation:
To solve number 4 I added the width of the 2 triangles to give me the width of the rectangle, so then 2 times 9 is 18. Then for the triangles. The formula for triangles is base times height divided by 2. So we add the areas of all shapes and we get: 18+6+24=48m. So the area for number 4 is 48 meters.
(hope this was your question)
Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually
![a^{2} +b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D)
since we know a and b are the same length (sides of a square are congruent) we would have
![a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Ba%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%5C%5C2a%5E%7B2%7D%20%3Dc%5E%7B2%7D)
We know that c is 14 so
![2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999](https://tex.z-dn.net/?f=2a%5E%7B2%7D%20%3D14%5E%7B2%7D%20%5C%5C2a%5E%7B2%7D%20%3D196%5C%5Ca%5E%7B2%7D%20%3D98%5C%5Ca%3D%5Csqrt%7B98%7D%20%5C%5Ca%3D%209.999)
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
__
b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
__
c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
C on edge 2021
Step-by-step explanation:
X+3<11
x<8
thatll be your answer