x <-3 includes the numbers-4, -5, -6..........
x> 5 includes the numbers 6, 7 , 8.....
here we have to find intersection of these two.
By intersection we mean the values of x that occur in both the sets,
here there is no number or value of x that occur in both the sets.
So answer is empty set
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Step-by-step explanation:
As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE
<u>Question number 23:</u>
Given
DS = 3x+10
SE = 6x-2
As the two segments are equal:
Subtracting 10 from both sides
subtracting 6x from both sides
Dividing both sides by -3
Now
And
<u>Question No 24:</u>
Given
DS = x+3
DE = 56
We know that:
So
DS = 
As DS is 28, SE will also be 28
Hence,
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Keywords: Bisector, Line segment
Learn more about line segments at:
#LearnwithBrainly
Step-by-step explanation:
f(g(10))
This is called a composite function. It's when you plug one function into another.
First, find g(10):
g(x) = √(x-9)
g(10) = √(10-9)
g(10) = √1
g(10) = 1
Then plug that into f(x):
f(x) = -9x - 9
f(g(10)) = -9 g(10) - 9
f(g(10)) = -9 (1) - 9
f(g(10)) = -9 - 9
f(g(10)) = -18
Answer:
No solutions
Step-by-step explanation:
Isolate the absolute value:
|x−1| + 5 = 2
Subtract 5 from both sides:
|x-1| = -3
Since an absolute value can never be equal to a negative number, there are no solutions.
In 2000 Emily was 9 years old.
Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:
- 2015 = E = 3K
- 2021 = E = 2K
- 24 /// 8 --- 30 /// 14
- 18 /// 6 --- 24 /// 12
- 18/6 = 3
- 24/12 = 2
- 2015 = Emily was 24 years old
- 24 - (2015 - 2000) = X
- 24 - 15 = X
- 9 = X
Therefore, in 2000 Emily was 9 years old.
Learn more in brainly.com/question/20025195
