Ahummingbird can travel up to 15 meters per second. what is the hummingbirds speed in miles per hour? 1 mile = 1609 meters

33.56 miles per hour.

Step-by-step explanation:

First we will see how many meters the hummingbird can travel in an hour (in meters)

it can travel up to 15 meters per second, but we know that one hour has 3600 seconds ( because an hour has 60 minutes of 60 seconds each one ( 60 x 60 = 3600)

So the hummingbird can travel 3600 x 15 = 54,000 meters in one hour.

Now, we know that 1 mile = 1609 meters, so in order to convert the 54,000 meters in miles per hour we're going to use a rule of three.

1 mile 1609 meters

x miles 54,000 meters

x miles = 54,000/1,609 = 33.56

Therefore, the hummingbird speed is 33.56 miles per hour.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be