Answer:
f(x) = -4x + 80
Step-by-step explanation:
You are given two points,
(5, 60) and (10, 40)
in order to get the equation, let's use the form slope-intercept form
m = (y1 - y2) / (x1 - x2)
m = (60 - 40) / (5 - 10)
m = 20/-5
m = -4
Get the x intercept
y = mx + b
60 = (-4)(5) + b
b = 60+20
b = 80
so the equation is
y = -4x + 80
f(x) = -4x + 80
In simplified form it is 5x+5
Remark
You have to read this carefully to know what way to write it.
One way you could write it would be
20 * x = 18 where x is the fraction. Now all you need do is divide.
Divide both sides by 20
20/20 * x = 18/20

But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.
18: 2 * 3 * 3
20: 2 * 2 *5
Cancel out the Highest common factor or 2.
You are left with
<<<< Answer
Answer:
V≈8.44×10-6m³
r Radius
mm
h Height
mm
Unit Conversion:
r=8×10-3m
h=0.042m
Solution
V=πr2h=π·8×10-32·0.042≈8.4446×10-6m³
Step-by-step explanation:
To find this answer you will use the formula for finding the area of the triangle because that shape is a triangle.
A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm
We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.
The length of the base edge is 33 cm. You should substitute this back in to check.
1/2 x 33 x 12 = 198 square cm.