Answer:
x = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
6(x - 1) = 9(x - 4)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 6x - 6 = 9x - 36
- Subtract 6x on both sides: -6 = 3x - 36
- Isolate <em>x</em> term: 30 = 3x
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 6(10 - 1) = 9(10 - 4)
- Subtract: 6(9) = 9(6)
Here we see that the 2 expressions are exactly the same.
∴ x = 10 is the solution to the equation.
To get the difference between the two diameters, all you have to do is subtract the smaller diameter (Mercury) from the larger diameter (Saturn) as follows:
Difference between the two diameters =diameter of Saturn-diameter of Mercury
Difference between the two diameters = (1.2*10^5) - (4.9*10^3)
Difference between the two diameters = 115100 km
Answer:
its a combination problem, so in your calculator put 9 nCr 4 and you'll get 126. i hope this helps. :)
Step-by-step explanation:
Answer:
Option D.
Step-by-step explanation:
It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).
Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is
Now,
The image points are X’(–3, 1), Y’(0, 0), Z’(–3, –1).
Therefore, the correct option is D.