Answer:
= 3a + 7b - 8c
Step-by-step explanation:
In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.
Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.
(6a + 8b - 7c) + (2b + c - 4a) + (a - 3b - 2c)
= 6a + 8b - 7c + 2b + c - 4a + a - 3b - 2c
Arrange the like terms together, then add.
Thus, the required addition
= 6a - 4a + a + 8b + 2b - 3b - 7c + c - 2c
= 3a + 7b - 8c
Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.
6a + 8b - 7c
- 4a + 2b + c
a - 3b - 2c
3a + 7b - 8c
= 3a + 7b - 8c
Answer:
Step-by-step explanation:
According to the given table, the variables have a linear relation, because there's a constant change involved.
Notice that p-variable increases by one unit, while q-variable increases by 10 units. That means the ratio of change is
Then, we use one pair of elements, like (3,30), and the point-slope formula to find the equations.
Therfore, the equation that represents the table is
Answer:1.07
Step-by-step explanation:
You just have to divide 3.21/3 and your get 1.07 and to make sure you multiply the 1st number by 1.07 and your get the second number.
Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
Answer: Irrational, because it is not a terminating or repeating decimal
.
Step-by-step explanation: The square root of 35 is 5.916079 and more numbers that go on and on.
P.D. Hope this helps!
