(0,4)(2,-3)
slope = (-3 - 4) / (2 - 0) = -7/2
Answer:
Area of the base of the pyramid = V/h
Step-by-step explanation:
Mathematically, we know that the volume of the pyramid can be calculated by multiplying the area of the base by the height of the pyramid
Now using the variables in the question;
V = area of base * height of pyramid
Area of base = V/height of pyramid
Area of base = V/h
Step-by-step explanation:
![\beta](https://tex.z-dn.net/?f=%20%5Cbeta%20)
is a root of the quadratic
![4 {x}^{2} - 10x + 5](https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20-%2010x%20%2B%205)
This quadratic isn't factorable so use the quadratic formula
![- b + - \sqrt{ \frac{b {}^{2} - 4ac }{2a} }](https://tex.z-dn.net/?f=%20-%20b%20%2B%20%20-%20%20%5Csqrt%7B%20%5Cfrac%7Bb%20%7B%7D%5E%7B2%7D%20%20-%204ac%20%7D%7B2a%7D%20%7D%20)
The plus and minus sign after b means we going to have two roots.
The roots are
![\frac{5 + \sqrt{5} }{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20%2B%20%20%5Csqrt%7B5%7D%20%7D%7B4%7D%20)
and
![\frac{5 - \sqrt{5} }{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20-%20%20%5Csqrt%7B5%7D%20%7D%7B4%7D%20)
We subsitue those values for Beta.
27a.
![\frac{5}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20)
27b.
25
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation:
which is essentially
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you:
that's the rate of change
X/26=28
•26=•26 (cancels each other out)
X=728