6p+p+2-3=8p-8
7p-1=8p-8
1=1p-8
7=1p
p=7
Answer:
3x²+12x
Step-by-step explanation:
Expand the brackets
Step-by-step answer:
The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it. The attached image does just that.
Here, we have (horizontal) distance of building to the tower is 400'.
We see two right triangles, each with a leg of 400' (horizontal).
The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.
Using the definition of tangent, we have
h1= 400tan24=178.1
h2=400tan20=145.6
The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet
Question:
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answer:
It will take 6 days
Step-by-step explanation:
For Jesse:

This implies that Jesse will cover 30y in y days
For Amir:

This implies that Amir will cover 35x in x days
Because Amir starts a day later,

So, we have the following equations:



To get the number of days when they read the same number of pages, we have:

Substitute values for Jesse and Amir

Substitute x + 1 for y

Open bracket

Collect Like Terms


Solve for x




Answer:
after 6 years
Step-by-step explanation:
thats when the lines intersect, (6,300)