Answer:
y = -5
Step-by-step explanation:
To solve for a variable, take the following steps:
- Distribute by multiplying into each term in the parenthesis
- Combine like terms
- Move terms across the equal sign using inverse operations
2 - 4 (y + 4) = 2y + 16 Distribute
2 - 4y - 16 = 2y + 16 Combine 2-16
-14 - 4y = 2y + 16 Add 4y to both sides
-14 = 6y + 16 Subtract 16 to both sides
-30 = 6y Divide by 6
y = -5
In math, the median in a group of values is the value that is closest to the center of the group when the values are organized from least to greatest.
For example, in the group [50, 51, 53, 56, 67], 53 would be the median, because it is in the middle of the group.
Hope that helped =)
It can be represented by this expression: -20+20
<span>
This arithmetic sequence has a common difference of 4, meaning that we add 4 to a term in order to get the next term in the sequence.
The recursive formula for an arithmetic sequence is written in the form
For our particular sequence, since the common difference (d) is 4, we would write
So once you know the common difference in an arithmetic sequence you can write the recursive form for that sequence.
However, the recursive formula can become difficult to work with if we want to find the 50th term. Using the recursive formula, we would have to know the first 49 terms in order to find the 50th. This sounds like a lot of work. There must be an easier way. And there is!
Rather than write a recursive formula, we can write an explicit formula. The explicit formula is also sometimes called the closed form. To write the explicit or closed form of an arithmetic sequence, we use
<span><span>an</span> is the nth term of the sequence. When writing the general expression
for an arithmetic sequence, you will not actually find a value for
this. It will be part of your formula much in the same way x’s and y’s
are part of algebraic equations.
a1
is the first term in the sequence. To find the explicit formula, you
will need to be given (or use computations to find out) the first term
and use that value in the formula.
n is treated like the variable in a sequence. For example, when writing the general explicit formula, n is the variable and does not take on a value. But if you want to find the 12th term, then n does take on a value and it would be 12.
d is the common difference
for the arithmetic sequence. You will either be given this value or be
given enough information to compute it. You must substitute a value for d
into the formula. </span> You must also simplify your formula as much as possible. </span>
Answer:
m<0 = 50
Step-by-step explanation:
The opposite angles in an isosceles trapezoid are equal, so <T = <A
and <B = <O
We know the sum of all 4 angles has to be 360 since it is a quadrilateral
<T+<A + < B + <O = 360
Substituting what we know, and what we want to know
<T+ <T + <O <+O = 360
Combining like terms
2<T + 2 <0 = 360
2( 130) + 2<0 = 360
260 + 2< O = 360
Subtract 260 from each side
260-260 + 2< O = 360-260
2<O = 100
Divide by 2
2/2<O = 100/2
<0 = 50
