Functions: the chart with number values, the dot graph, and the middle graph on the right
Not functions: the top graph on the left with the vertical line, the graph with the circle, and the bottom right graph
Any graph that doesn’t pass the vertical line test is not a function. You can do this by starting at the top of the graph and drawing a line straight down through what you are testing. If you pass through the line or circle more than once it is not a function.
If you look at the number values if the x value repeats more than once it is not a function.
Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h
23. A = (1/2)*b*h
.. A = (1/2)*x*7 . . . . substitute the given values
.. A = 3.5x . . . . . . . simplified
24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values
.. 2*84.5/13 = h = 13 . . . .solve for h
The height of the triangle is 13 cm.
(5 Neighbors) x (($1.00 Box) + (? Plant) + ($3.00 Gloves)) = 42.50
5 x (1 + x + 3) = 42.50
Combine in parens.
5 x (4 + x) = 42.50
Distribute.
20 + 5x = 42.50
Subtract 20 from both sides.
5x = 22.50
Divide both sides by 5.
x = 4.50
Thats the cost of each plant.
Check.
5 x (1 + 4.50 + 3)
5 x 8.50 = 42.50
Step-by-step explanation:
The ladder forms a triangle with the wall and ground.
The side of the triangle opposite of the 60° angle is 4 feet.
To find the length of the ladder (the hypotenuse), use sine.
sine = opposite / hypotenuse
sin 60° = 4 / L
L = 4 / sin 60°
L = 4 / (√3 / 2)
L = 8 / √3
L = 8√3 / 3
L ≈ 4.619 feet
To find the distance from the wall, use tangent.
tangent = opposite / adjacent
tan 60° = 4 / x
x = 4 / tan 60°
x = 4 / √3
x = 4√3 / 3
x ≈ 2.309 feet
Answer:
-9, 9.7
Step-by-step explanation:
