Segment DF is 1/2 the length of Segment DE. Since the entire segment is DE and it's midpoint is at F, the segment would be broken into 2 equal segments in one. Segment DF and FE. Segment DF is congruent to Segment FE.
This is a system of equations, meaning you find the value of one variable and substitute it into the other equation
if y=-x^2-4x+23 we can put that into the second equation for y
This gives us 2x+(-x^2-4x+23)=15
Lets simplify this and set it equal to 0 by moving the 15 over
-x^2-2x+8=0
This gets us x=-4, 2
Lets try plugging both those back into our first equation and see what value of y we get
y=-(-4^2)-4(-4)+23; y=23
y=-(2^2)-4(2)+23; y=11
So you get two sets of solutions
(-4,23) and (2,11)
The first series is an arithmetic sequence with a common difference 2, for the second series is an arithmetic sequence with a common difference 1.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
For the first sequence:
2, 4, 6, 8, 10
The above sequence represents the arithmetic sequence
The common difference = 4 -2 = 8 - 6 = 2
For the second series:
1, 2, 3, 4, 5
The above sequence represents the arithmetic sequence
The common difference = 2 -1 = 4 - 3 = 1
Thus, the first series is an arithmetic sequence with a common difference 2, for the second series is an arithmetic sequence with a common difference 1.
Learn more about the sequence here:
brainly.com/question/21961097
70 millimeters are in 7 centimeters since 10 millimeters is equal to one centimeter you would multiply 7 centimeters times 10 millimeters and get 70
