Answer:
(-5, 3)
Step-by-step explanation:
The coordinates of the midpoint are the averages of the endpoints.
-1.5 = (x + 2) / 2
-3 = x + 2
x = -5
6 = (y + 9) / 2
12 = y + 9
y = 3
If two chords intersect each other inside a circle, the products of their segments are equal.
3n = 6*4
3n = 24
n = 24/3
n = 8
First, do 100-14 to find out how much percent doesn't get the coupon= 85
then find 85% of 64= 54.4
finally, your answer is: 54.4
Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Answer:
<em>Domain={2,5,8}</em>
<em>Range={1,3,6}</em>
<em>Function: YES</em>
Step-by-step explanation:
<u>The Domain of a Function
</u>
Is the set of values the input variable x takes.
<u>Range of a Function
</u>
It's the set of values the output function takes when x moves into the function's domain.
A function is a relation between an input and an output set of values with the condition that every element in the domain relates only with one element in the range.
Following the definitions above, the domain of the relationship is the set of input values:
Domain={2,5,8}
The range is the set of output values:
Range={1,3,6}
Since each element in the input set is related only to one element in the range, the given relationship is a function.
Answers:
Domain={2,5,8}
Range={1,3,6}
Function: YES
