Answer:
Step-by-step explanation:
It would be c
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)
enot [183]
Answer:
<em>The area of the polygon CDEFGH is 7</em>
Step-by-step explanation:
<u>Area of a Polygon</u>
The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.
The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:
The area CDHE is a square of length side 2. Area of a square:

The area HEFG is a trapezoid with bases lengths 4 and 2, and height 1. Area of a trapezoid:

Calculate both areas:


Total Area=4+3=7
The area of the polygon CDEFGH is 7
Answer:
Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value
Answer:
It should be the top left graph where there is point (1,1) and (-1, -1) y = 1/x
Step-by-step explanation:
from the original graph, I see:
f(x) = 2/x because f(2) = 1 = 2/2
f(1/4)= 2/(1/4) = 2
...
so then f(2x) compresses f(x) horizontally by a factor of 2
so f(2x) = 2/(2x) = 1/x