Answer:
C.
Step-by-step explanation:
The coefficients of the expansion of (a + b)^2 are 1 2 1, which is the third row of Pascal's triangle.
For (a + b)^3 they are 1 3 3 1 which is in the 4th row, and so on
So those for the (a + b)^n are in the (n + 1)th row.
Answer:
common ratio:2 2. 18 3.36 4.72 equation: 4.5(
)
Step-by-step explanation:
144=2*2*2*2*3*3 9=3*3
the common ratio would be 2
2. 9*2=18
3. 18*2=36
4. 36*2=72
(check) 72*2=144
0. 9/2=4.5
equation: 4.5(
)
Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

Now,
Putting,
left = 25, altitude = 60 and right = x we get,

or,
[ by cross multiplication]
or, 
or, 
Hence,
The value of x is 144.
Answer:

Step-by-step explanation:
The equations are:


The two graphs intersect when:



To find the area under the curve for the first equation:

To find the area under the curve for the second equation:

To find the total area:

Simplifying the equation:

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).