Answer:
It's right :)
Explanation:
- Dilation along the x-axis = (-7-1)/(-1-1) = 2/8 = 1/4
- Dilation along the y-axis = (-7-1)/(-1-1) = 2/8 = 1/4
Thus, the overall dilation is 1/4
Answer:

Step-by-step explanation:
Given the expression

<u>Expand and simplify the expression</u>

Expand 4(2x + 7) = 8x + 28

Expand -3(x + 5) = -3x - 15

Group like terms

Add similar elements: 8x - 3x = 5x

Simplify

Therefore, we conclude that:

35
since m and n are the midpoints of ab and ac resistively
then ,bc=2mn=16
since m and l are the midpoints of ba and bc respectively
then, ac =2mn =10
then,nc =1/2 × 10 =5
similary, mb=6
then ,perimeter=nc+mb+mn+bc=5+6+8+16=35
Answer:

Step-by-step explanation:
Consider the selling of the units positive earning and the purchasing of the units negative earning.
<h3>Case-1:</h3>
- Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
- Mr.A earns Rs6000
So, the equation would be

<h3>Case-2:</h3>
- Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
- Mr B neither lose nor gain meaning he has made 0₹
hence,

<h3>Case-3:</h3>
- Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
- Mr.C earns 13000₹
therefore,

Thus our system of equations is

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>
we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

Now solve the equation accordingly:

Solving the equation for x and y yields:

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437
Answer:

Step-by-step explanation:
- 6x = 5x + 222
- 222 = 5x + 6x
11x = - 222
x = - 222 : 11
x = - 222/11
