Answer:
- x(27 +24) or 3x(9 +8)
- 0.5(n +5) or 2.5(n/5 +1)
Step-by-step explanation:
The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.
a(b +c) = ab +ac . . . . expression of the distributive property
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When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.
Below, we have written each expression using two different common factors.
<h3>a)</h3>
27x +24x = x(27 +24) = 3x(9 +8)
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<h3>b)</h3>
0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)
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<em>Additional comment</em>
Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.
The Euclidean Algorithm can also be useful for finding common factors.
Check the picture below.
notice the tickmarks, thus TP = PU and TQ = QS, so the PQ segment is then a midsegment of the larger triangle, and thus the angles it makes on the small one, are exactly the same.
⭐️- Remember that slope formula is y=mx+b
1. Know that the m is (-3)
2. 4=(-3)(9)+b
3. 4=(-27)+b
4. b=31
5. y=(-3x)+31
6. y=3x-31*
*whenever it is finding a perpendicular, you switch the signs; when it is finding a parallel, you leave it alone
Answer:
a
Step-by-step explanation:
Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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