Answer:
Step-by-step explanation:
2x²+8=80
2x²=80-8=72
x²=72/2=36
x=±√36
x=±6
so x=6 is one solution other is x=-6
7.
a. This is an equation because it has to parts, separated by an equal sign
b. 5 because 5 is the number b is multiplied by in the first part
c. idk
d. a, b, and c are the variables
e. idk
sorry haven't done this in a while
y/x-2=3/11 would be easier to work with if we were to put it into a more standard form, e. g., y = mx + b.
First, add 2 to both sides, to isolate y/x:
y/x = 3/11 + 22/11 = 25/11.
Next, mult. both sides by x, to get y by itself: y = (25/11)x.
This is your function.
Now make a table. You can choose any x values you want, and then calculate y for each one.
x y
0 0
1 25/11
3 (25/11)*3 = 75/11
Then we have three points on this line: (0,0), (1, 25/11), 3, 75/11). You could obtain more by choosing additional x values.
Answer:
The route across the park is 40 meter shorter than the route around its edges.
Step-by-step explanation:
We have to calculate the distance for both routes
As the route around the edges is straight, we have to find the sum of length of both edges
Let 
be the distance of route around edges
Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.
We can use Pythagoras theorem to find the length of the diagonal
So,
In the given scenario
P = 60
B = 80
Now
In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.
Hence,
The route across the park is 40 meter shorter than the route around its edges.
From the information we have, we know that each book costs 1.20 dollars. So we shall say this price is at 100% .
Now we need to form an equation to get the percentage when the books are sold at 0.80 dollars.
100% = 1.20
x = 0. 80
Where x is the new percentage when the sale is at 0.80 dollars.
We cross multiply the equation:
1.20 *x = 0.80 * 100
1.2x = 80
x = 80/1.2
x = 66.7%
Round off 66.7 to the nearest tenth we get 67%
The notebooks are sold at 67% (of the original cost).
