Answer:
3x-2
---------
x-1
Step-by-step explanation:
simplify 18x/6x = 3x/1x
simplify 108/54 = 2/1
Answer:
n=10
Step-by-step explanation:
Let's remember that when exponents have the same base (here it is 2), we add the exponents. Therefore, 2^(2+n)=(2^4)^3
Now we will rewrite as 2^(2+n)=2^(4*3) = 2^(2+n)=2^12
Now we have the same base of 2, so we can get rid of them and we have
2+n=12
subtract 2 from both sides: n=10
The function is ![y = (x +2)^2 + 5.](https://tex.z-dn.net/?f=y%20%3D%20%28x%20%2B2%29%5E2%20%2B%205.)
we use the vertex form of the quadratic equation
We have given a graph,
<h3>What is the vertex form of the quadratic equation?</h3>
y = a(x - h)^2 + k.
Therefore the vertex of the given graph is
See the vertex at (-2, 5)
Since the general way to write the vertex is (h, k), we compare (h, k) to (-2, 5).
![y = a(x - (-2))^2 + 5.\\y=a(x+2)^2+5......(1)](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%20%28-2%29%29%5E2%20%2B%205.%5C%5Cy%3Da%28x%2B2%29%5E2%2B5......%281%29)
Now we have given that (-4,1) use this value in the above equation so we get,
![(1)=a(-4+2)^2+5](https://tex.z-dn.net/?f=%281%29%3Da%28-4%2B2%29%5E2%2B5)
![1=a(-2)^2+5](https://tex.z-dn.net/?f=1%3Da%28-2%29%5E2%2B5)
![1=4a+5](https://tex.z-dn.net/?f=1%3D4a%2B5)
![1-5=4a](https://tex.z-dn.net/?f=1-5%3D4a)
![-4=4a](https://tex.z-dn.net/?f=-4%3D4a)
![a=-4/4](https://tex.z-dn.net/?f=a%3D-4%2F4)
![a=-1](https://tex.z-dn.net/?f=a%3D-1)
Using the value of an in equation (1) we get,
Therefore the function is ![y = (x +2)^2 + 5.](https://tex.z-dn.net/?f=y%20%3D%20%28x%20%2B2%29%5E2%20%2B%205.)
To learn more about the function visit:
brainly.com/question/4025726
#SPJ1
Answer:
155
Step-by-step explanation:
Use the calculator :D
Answer:
Area of the triangle covered by the cars = 910.45 square km
Step-by-step explanation:
Since, all the sides of triangle ABC are given,
And formula for the area of a triangle with all sides given is,
Area = ![\sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D)
Here, s = ![\frac{a+b+c}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2Bb%2Bc%7D%7B2%7D)
And a, b, c are the measures of the sides of the triangle.
If a = 39 km, b = 87 km and c = 58 km
s = ![\frac{39+87+58}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B39%2B87%2B58%7D%7B2%7D)
s = 92
Therefore, (s - a) = 92 - 39
= 53
(s - b) = 92 - 87
= 5
(s - c) = 92 - 58
= 34
Now area of the triangle ABC = ![\sqrt{92(53)(5)(34)}](https://tex.z-dn.net/?f=%5Csqrt%7B92%2853%29%285%29%2834%29%7D)
= ![\sqrt{828920}](https://tex.z-dn.net/?f=%5Csqrt%7B828920%7D)
= 910.45 km²
Area of the triangle covered by the cars = 910.45 square km