Answer:
m<−5
Step-by-step explanation:
Step 1: Flip the equation.
m+4<−1
Step 2: Subtract 4 from both sides.
m+4−4<−1−4
m<−5
Hope this helped <3
Answer:
Step-by-step explanation:
Note how this drawing is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.
Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30. Due to the symmetry shown, line CD has the same length: 30.
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:

The sum of the first n terms of an arithmetic sequence is given by:

In this question:

We want the sum of the first 37 terms, so we have to find 




Then

The sum of the first 37 terms of the arithmetic sequence is 2997.
Answer:
The common difference is 2
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 = -5
a10 = 13
Substituting n=10 a10=13 and a1 =-5
13 = -5 +d (10-1)
13 = -5 +9d
Add 5 to each side
13+5 = -5+5 +9d
18 = 9d
Divide each side by 9
18/9 = 9d/9
2 =d