Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
First of all we know the
Absolute Value Function that is:
This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:
The term:
means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:
means that the function
is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below
Answer:
9
Step-by-step explanation:
I took the quick check
20 Cubic Inches^3.
Explanation:
The volume of a cone is Pi*R^2*H*1/3
We know the height, but we are given the diameter instead of radius. So divide 5.625 by 2. You get 2.8125.
Plug everything into the formula.
Pi*2.8125^2*7.5*1/3
(The ^2 means squared, or to the second power)
You get a number close to 20. Since we don’t know Pi, and we are not given a substitute for Pi, we make the answer in terms of Pi.
20 Cubic Inches^3.
Also, people who don’t know the answers to questions shouldn’t just put a random answer for the points. It’s unfair.
