Answer:
Slope is the steepness and direction of a line. The line can be negative or positive. For example, if a line had a slope of 2, then the line is increasing toward the right, rising 2 units and running 1 unit. The larger the slope, the steeper the line. If a line has a slope of 4, then it is steeper than a line with a slope of 3 or 2.
Step-by-step explanation:
36/54 = 2/3
24/36 = 2/3
16/24 = 2/3
<span>common ratio for the geometric sequence is : 2/3</span>
Answer:
The usually speed of the bus is 50 miles/h.
Step-by-step explanation:
Let the usual speed of the bus be x mile/hour.
We know that


The bus travels 200 miles.
To reach its destination it takes time
h
This week however the bus leaves at 5:40.
The bus late 40 minutes

Now the speed of the bus is = (x+10) miles/h
The new time to reach the destination is
h
According to the problem,

![\Rightarrow 200[\frac{x+10-x}{x(x+10)}]=\frac{2}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20200%5B%5Cfrac%7Bx%2B10-x%7D%7Bx%28x%2B10%29%7D%5D%3D%5Cfrac%7B2%7D%7B3%7D)
![\Rightarrow 200[\frac{10}{x^2+10x}]=\frac{2}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20200%5B%5Cfrac%7B10%7D%7Bx%5E2%2B10x%7D%5D%3D%5Cfrac%7B2%7D%7B3%7D)
⇒2(x²+10x)=200×10×3
⇒x²+10x = 3000
⇒x²+10x -3000=0
⇒x²+60x-50x-3000=0
⇒x(x+60)-50(x+60)=0
⇒(x+60)(x-50)=0
⇒x= -60,50
∴x=50 [since speed does not negative]
The usually speed of the bus is 50 miles/h.
(7•7)+(7•7)
We can use the formula of distributive property
a(b+c)=ab+ac
So it will look like a(b+c)= (7•7)+(7•3)
A is 7, B is also 7, and C is 3. Plug those in and you get 7(7+3)
Answer: 7(7+3)
Hope this helps ʕ•ᴥ•ʔ