Answer:
The mid point is (6,-1)
Step-by-step explanation:
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
<span>x = 10 or x = -4. It's one of those 2, there's 2 solutions for what I solved.</span>
This problem states that an overseas telephone call costs 0.36 cents per minute. They spend 6 minutes on the call.
All you have to do is multiply 0.36 cents on 6 minutes.
Your answer is $2.16
Hope this helped! :D
There are 120 ways to color the 4 rectangles
<h3>How to determine the number of ways?</h3>
The given parameters are:
Paints, n = 5
Rectangles, = 4
The number of ways to color the rectangles is
This gives
Apply the permutation formula
Evaluate the expression
Ways = 120
Hence, there are 120 ways to color the 4 rectangles
Read more about permutation at:
brainly.com/question/1216161
#SPJ1
