Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
Answer:
32 km/ hr
Step-by-step explanation:
Given that :
Speed of car = 24km/ hr
Time taken =. 80 minutes = 80 / 60 = 1.33333 hours
The distance traveled :
Speed * time
24 km/hr * 1.333333 = 32 km
Speed required to complete 32 km. Journey in 60 minutes = 1 hour
Speed = distance / time
Speed = 32 km / 1 hour
Speed = 32 km/ hr
Answer:
The slope of a line that is perpendicular to the x-axis is undefined.
Step-by-step explanation:
We know that the x-axis is a horizontal line.
- We also know a line that is perpendicular to the x-axis is basically a vertical line.
- As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.
Therefore, the slope of a line that is perpendicular to the x-axis is undefined.
For example, the slope between (1, 2) and (1, 4) is:
Using the slope formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [1 - 1]
= 2 / 0
= ∞
Answer:
(-9,0) is the answer of the new coordinates
Step-by-step explanation:
