Hi!
The correct answer to this <span>expression is y=9 if the equation is y-8+2=3 or y=19 if the equation is y-8</span>×2=3.
To get y=9 you need to add 2 to -8 to get -6, then you need to find the number that when subtracted by 6 equals 3 and that number is 9.
To get y=19 you need to multiply -8 by 2 to get -16, then you need to find the number that when subtracted by 16 equals 3 and that number is 19.
If it is neither of these answers then it is y-8 because you are replacing 2 with 3 in the expression.
I don’t know if these are options for the drop box thing but SAS (side angle side), makes the triangles congruent
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.
Examples:
1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.
2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.
3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.
4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)
Now for your problems.
10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.
13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.
The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.
[0, ∞)
Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
Answer:
Step-by-step explanation:
The question in English is basically find the area of the pink and blue area shown. The image is attached. This is Liza and Abby's blanket spread and we want the area of the whole shown.
<u>Solution:</u>
We want area of pink rectangle PLUS the blue region, which is a sum of lower rectangle and top triangle (if we cut it in this way).
First, area of pink rectangle:
Area = length * height
Area = 5 * 5.7
Area = 28.5
Now, the blue region, if broken down, lower portion is rectangle and upper portion is a triangle (we DISREGARD the overlapping region, of course!)
Lower Rectangle Area = length * height = 4 * 2 = 8
Upper triangle Area = 0.5 * base * height = 0.5 (4) * (6-2) = 0.5 * 4 * 4 = 8
So, blue region area = 8 + 8 = 16
<u>Total Area = 28.5 + 16 = 44.5 sq. ft.</u>
