A(b-c)=d solution is number 2. Attachment added
The point G on AB such that the ratio of AG to GB is 3:2 is; G(4.2, 2)
How to partition a Line segment?
The formula to partition a line segment in the ratio a:b is;
(x, y) = [(bx1 + ax2)/(a + b)], [(by1 + ay2)/(a + b)]
We want to find point G on AB such that the ratio of AG to GB is 3:2.
From the graph, the coordinates of the points A and B are;
A(3, 5) and B(5, 0)
Thus, coordinates of point G that divides the line AB in the ratio of 3:2 is;
G(x, y) = [(2 * 3 + 3 * 5)/(2 + 3)], [(2 * 5 + 3 * 0)/(2 + 3)]
G(x, y) = (21/5, 10/5)
G(x, y) = (4.2, 2)
Read more about Line segment partition at; brainly.com/question/17374569
#SPJ1
The total cost of the item at the value of $25 and a tax of 7% is $26.75
<h3>Total Cost </h3>
Given Data
We have the given expression to find the total cost which is
Total = c + 0.07c
Substituting our given data into the expression we have
Total = 25 + 0.07*25
Total = 25 + 1.75
Total = $26.75
Learn more about total cost here:
brainly.com/question/25109150
Step-by-step explanation:
10x - 10y = -20
-10y = -20 - 10x
y = -20/-10 - 10x/-10
y = 2 + x
-10x + 4y = -16
-10x + 4(2 + x) = -16
-10x + 8 + 4x = -16
-6x = -24
x = -24/-6
x = 4
y = 2 + x
y = 2 + 4
y = 6
Solution = (4,6)
I don't understand what you mean by 'mentally' but anyways, here is how to solve it.
(z−12)(z+12)
=(z+−12)(z+12)
=(z)(z)+(z)(12)+(−12)(z)+(−12)(12)
=z^2+12z−12z−144
=z^2−144