If you’re simplifying it’s 100x^2+200x+5
If the soda can is a cylinder, which is most likely, than that means we need to find the height of the cone. The formula for volume of a cylinder is V= пr^2h (look at the pic for clearer formula) and we know the diameter of the soda can is 6, we know the radius is 3 because diameter is a line reaching from one point of the circle to the other. Radius is a line reaching from the center of the circle to the outside as shown in the image. We divide pi (you can put in the calculator 3.14) from 21, then we get 6.688 (if we round up) and then you must look at the formula now
it looks like
6.688=r^2h
that means we must find 3^2
that basically means 3x3 which is 9
then you have to divide that from 6.688
then you get 0.743
that is your height.
now we must find the volume of the cone. The formula for that is
V=пr^2(h/3)
now lets plug in our info
V=(3.14)(9)(0.743/3)
you get 6.999
To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4
Now we can say
2x + 7 = x - 4
Now solve for x
X= 3
Now fill this in in either one of the formulas
Y= 2 (3) + 7
Y= 13
So they’ll intersect at (3,13)
Answer:
the last box represents a set of data
The missing numerator that will make the rational expressions equivalent is (82x + 7) / (12x + 42)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the missing numerator, hence:
82x + 7 = y * 6(2x+7)
82x + 7 = y * (12x + 42)
y = (82x + 7) / (12x + 42)
Find out more on equation at: brainly.com/question/2972832