Answer:
D
Step-by-step explanation:
1 + 4(2x - 3) - x
1 + 8x - 12 - x
7x - 11
The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number
<h3>Surd operation</h3>
Surd multiplication can be carried out as illustrated below:
a√b × c√d = (a × c)√(b × d)
<h3>How to determine the product of 4√27 and 5√3</h3>
The product of 4√27 and 5√3 can obtained as illustrated below:
a√b × c√d = (a × c)√(b × d)
4√27 × 5√3 = (4 × 5)√(27 × 3)
4√27 × 5√3 = 20√81
But
√81 = 9
Thus,
4√27 × 5√3 = 20 × 9
4√27 × 5√3 = 180
Therefore, the product of 4√27 and 5√3 is 180
<h3>What are rational numbers?</h3>
These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero
Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)
Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number
Learn more about surd:
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Answer:
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distance Formula:
- Midpoint Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
(5, -1)
(-9, -1)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute:
- Simplify:
- Subtract/Add:
- Evaluate:
- Evaluate:
<u>Step 3: Find Midpoint</u>
- Substitute:
- Subtract:
- Divide:
* parenthesis tell you to multiply whatever is outside them by whatever is inside them, so let’s do that!
All we need is a calculator !!
1. 0.3(p) - 0.3(3)
0.3p - 0.9
2. 1.2(0.3x) - 1.2(1.4)
0.36x - 1.68
3. -3(2x) - 3(5)
-6x - 15
4. -7(2k) - 7(-h)
-14k + 7h
5. -1/2(6x) - 1/2( -1/3)
-3x + 1/6
6. -3(0.2m) - 3(5)
-0.6m - 15
7. -0.6(0.4y) - 0.6(-1)
-.24y + 0.6
* remember that when you multiply to negatives, it equals a positive!!
Hope I helped :)
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