Answer:
1. c) Add/ Subtract the same quantity to/from both sides
2) Yes
Step-by-step explanation:
Answer two questions about Equations A and B:
A. 3x – 1= 7
B. Зx = 8
1) To get Equation B from Equation A we need to take the following steps
A. 3x – 1 = 7
We add one to both sides
3x - 1 + 1 = 7 + 1
3x - 0 = 8
3x = 8
Option c is the correct option.
2) We are given Equations:
A. 3x – 1= 7
B. Зx = 8
3x - 1 = 7 = 3x = 8
3x = 7 + 1 = 3x = 8
3x = 8 = 3x = 8
Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.
Answer:
Step-by-step explanaAnswer:
\frac{-2y+5x}{3x-2y}
Step-by-step explanation:
Given:
\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}
To simplify this expression, first make the addition and the subtraction, to get:
\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=
Next, simplify the two denominators, to get:
\frac{-2y+5x}{3x-2y}tion:
Answer:
y = 1/3x+6
Step-by-step explanation:
y = -3x+2 is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is -3
Perpendicular lines have slopes that are negative reciprocals
The slope of the perpendicular line is -1/-3 = 1/3
The equation of the new line is
y = 1/3x +b
Using the point that passes through the line ( 6,8) and substituting in for x and y
8 = 1/3(6) +b
8 = 2+b
8-2 =b
6 =b
The equation becomes
y = 1/3x+6
To do this without a calculator, I would change: 5.2 × 10^(-2) to ... 52×10^(-3)
--> then multiply the whole numbers 52 × 8 = 416
--> next add the exponents on the tens. -3 + -4 = -7
= 416×10^(-7)
* now they'll want you to move the decimal back to behind the first digit. (just standard convention)
= 4.16×10^(-5)
If you have a calculator you can just use the "EE" button for ×10^power typed in it looks like this :
5.2 EE -2 × 8 EE -4 =
then make sure your calculator is in scientific mode, otherwise you'll be counting decimal spaces
