Answer:
Blue line: y = -2
Red line: y = 2/3 x + 2
Perpendicular to red line: y = -3/2x + 2
Parallel to red line: y = 2/3 x + any real number
Answer:
G
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
the triangles are similar so will be the same proprotion,
I have attached a picture showing how I solved this. the second traingle is 3 times as large (15 by 12) compared to the first triangle which is 4 by 5.
a + s = 775
s = a + 75 ; where a = adult tickets and s = student tickets
____________________________________________________________
Solve for s in the first equation. Subtract a from both sides.
s = 775 - a
Plug s into the second equation.
(775 - a) = a + 75
Add a to both sides.
775 = 2a + 75
Subtract 75 from both sides.
700 = 2a
Divide both sides by 2.
a = 350
____________________________________________________________
350 adult tickets were sold.
Answer:
8) 78.5 in.
11) 28.26 m
Step-by-step explanation:
The formula for area of a circle is πr^2 (pi ⋅ radius ⋅ radius).
Here, only the diameter is shown.
To find the radius, we must divide the diameter (10) by 2.
10/2 = 5.
So, 5 is the radius.
Now, we plug in the numbers.
pi ⋅ radius ⋅ radius
(3.14 is commonly used for pi)
3.14 ⋅ 5 ⋅ 5 = 78.5
78.5 is the area of this circle.
Now, to find the area of this circle, we simply repeat the steps.
6/2 = 3
pi ⋅ radius ⋅ radius
3.14 ⋅ 3 ⋅ 3 = 28.26