Like terms have the same variable and power. The simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.
<h3>What are Like terms?</h3>
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
We know that to simplify an expression we need to add or subtract like terms, therefore,
Hence, the simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.
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Answer:
Part a) The measure of the sides of triangle DEF are
Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula
step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula
step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula
step 4
Classify the triangle by the measure of its sides
we have
so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
I like the substitution method. Which is when you make one equation equal only x or y and plug it into the other equation)
There is also the graphing method. If you graphed it, it might not be quite as accurate (at least on hand, on computer you would be pretty exact)
Then there is the elimination method. You multiply one of the equations by a coefficient so that you can eliminate x or y from the equation.
Answer:
120 pints
Step-by-step explanation:
1 gallon = 8 pints
15 gallons x 8 is 120 pints
Answer:140
Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer