Answer:
As you have written
Z Y = 3 X Y,
It means X, Y, Z are collinear points i.e they lie in the same line or line segment.
Locating points X, Y,Z on the line
Two possibilities are possible
1. First Z, then X and then Y on the line or line segment
→ Z X + Y X= Z Y
But Z Y = 3 X Y [ Given]
→ Z X + Y X = 3 X Y
→ Z X = 3 X Y - Y X
→ Z X = 2 X Y ⇒ which is not the result.
2. 2nd Possibility
First Z, then Y and then X on the line or line segment
→ Z X = Z Y + Y X
→ Z X= 3 X Y + Y X [Z Y=3 X Y→(given)]
→ Z X= 4 X Y , Which is the result.
Answer:
Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
Step-by-step explanation:
We have been given a mapping diagram as shown below:
X Y
-2 -4
-1 -2
0 2
2
For better view, you can check the attached mapping diagram.
From that diagram we have to find domain and range.
Domain contains only x values so domain will be:
Domain: {-2,-1,0,2}
Range contains only y values so range will be:
Range: {-4,-2,2}
We see that only third choice matches obtained values of domain and range.
Hence final answer is Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}
Answer:
The area of the circle is 113.0 ft²
Step-by-step explanation:
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 6ft
π = 3.14
a = π * r²
we replace with the known values
a = π * (6ft)²
a = π * 36ft²
a = 113.04ft²
The area of the circle is 113.04ft²
round to the nearest tenth
a = 113.04ft² = 113.0 ft²
shorter side : longer side = 3 : 7
Equate 3 parts tp 9 inches:
3 parts = 9 inches
Find 1 part:
1 part = 9 ÷ 3 = 3 inches
Find 7 parts:
7 parts = 3 x 7 = 21 inches
Area = Length x Width = 21 x 9 = 189 in²
Answer: The longer side is 21in and the area is 189 in²
