1)B -26-27x
steps :distribute ,-9 times 3 =-27 , -9 times 3x = -27x , now combine like terms :you have a 1 and a -27 ,1-27=-26,and you left with -27
2)D 11-49x
steps :distribute , positive 7 times 1= 7 and then positive 7 times negative 7x =-49, now combine like terms ,since you have a positive 4 combine it with positive 7 which is 11 and finally put it together with -49x which it would look like 11-49x
Answer:
but I will not let him die
Step-by-step explanation:
v I I 56r6eyci fee will notify include his
Answer:
The value of the length of AC is 14
Step-by-step explanation:
When points are collinear, it simply means that the points lie on the same straight line.
In this question , we have three points which lie on same straight line.
These are points A, B and C with B between A and C.
Thus the length AC can be obtained by adding the length of AB to the length of BC
Mathematically, the value of the length of AC will be 8 + 6 = 14
Answer: If the monomial has only one variable.
3x² is a monomial of the 2nd degree with a leading coefficient of 3.
Step-by-step explanation: Think of the your like terms such as the coefficents A polynomial which has only one term is called monomial.
The degree of a monomial is defined as the sum of all the exponents of the variables.
A leading coefficient is the number multiply to the variable.
Answer: 648
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Explanation:
We have this set of digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
From that set, we can only pick three items. We cannot select the same digit twice.
Consider a blank three digit number such that it is composed of slot A, slot B, slot C.
Since the number must be larger than 100, this means that we cannot select 0 as the first digit. We go from a pool of 10 digits to 10-1 = 9 digits for our first selection.
In other words, we have this subset to select from
{1, 2, 3, 4, 5, 6, 7, 8, 9}
So we have 9 choices for slot A.
For slot B, we also have 9 choices since 0 is now included. For instance, if we selected the digit '4' then we have this subset of choices left over: {0, 1, 2, 3, 5, 6, 7, 8, 9} which is exactly 9 items.
For slot C, we have 9-1 = 8 items left to choose from. For example: If we choose '4' for slot A, and '2' for slot B, then we have this subset to choose from: {0, 1, 3, 5, 6, 7, 8, 9} exactly 8 items
In summary so far, we have...
9 choices for slot A
9 choices for slot B
8 choices for slot C
Giving a total of 9*9*8=81*8=648 different three digit numbers. You'll notice that I'm using the counting principle which allows for the multiplication to happen. Think of a probability tree.
