Answer: Choice B) The graph opens downThe negative 'a' value means the parabola opens downward. One way to remember it is that the positive 'a' value means "happy face" or "smile", and a negative 'a' value means "frowny face".
See the image attachment and note the color coding of the graphs.
Answer: The area of the path is 280 ft^2
(Note that 280 ft^2 means “280 feet squared”)
Step-by-step explanation: The first clue in this question is the dimensions of the rectangular garden which have been given as 29 ft by 37 ft. So we can conveniently compute the area of the garden as follows;
Area = L x W
(Length is 37 ft and Width is 29 ft)
Area = 37 x 29
Area = 1037 ft^2
However there is a path surrounding the garden which is 2 ft wide on all four sides. This means both borders of the length have an extra 4 feet of measurement while both borders of the width also have an extra 4 feet of measurement. So, if the surrounding border and garden is measured altogether, the length would become (37 + 4= 41) 41 feet while the width would become (29 + 4 = 33) 33 feet. So the area of the garden and the surrounding path inclusive can be calculated as
Area = L x W
Area = 41 x 33
Area = 1353 ft^2
To determine the area of ONLY THE SURROUNDING PATH, we simply deduct the area of the GARDEN ONLY (1073 ft^2) from the area of GARDEN AND SURROUNDING PATH (1353 ft^2)
Therefore area of the path surrounding the garden becomes
Area of path = 1353 - 1073
Area of path = 280 ft^2
Answer:
that would be 1/4x
Step-by-step explanation:
Answer:
Proportion states that the two equal ratios or fractions are equal.
Use conversion:
1 m = 100 cm
As per the statement:
The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m
⇒Actual length = 120 m and Actual width = 90 m
It is also given that:
A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.
⇒ Drawing length = 18 cm = 0.18 m
By definition of proportion:

Substitute the given values we have;

By cross multiply we have;

Simplify:

Divide both sides by 120 we get;
m
Or
cm
Therefore, the other side of the drawing width is 13.5 cm
It's pretty simple all u have to do is write it like this if it's a single number like 6 would be 0.6 any double didget like 16 would be 0.16