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nikitadnepr [17]
3 years ago
5

A high speed elevator can rise 480 feet in 30 seconds. which expression represents the rate, in feet per minute, of the elevator

?
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

R = 960x ft/min

Explaination : 960 is the rate at which the elevator will rise in a minute, while the 'x' represents the amount of minutes passed. Finally the label in the end clarify the units of measure.


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Graph the image of square CDEF after a reflection across the x-axis​
Rina8888 [55]

Answer:

If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:

(x,-y)

So we only change the sign of the y-component.

Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.

Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.

The original vertices are:

C = (-3, 7)

D = (0, 7)

E = (0, 10)

F = (-3, 10)

Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:

C' = (-3, -7)

D' = (0, -7)

E' = (0, - 10)

F' = (0, - 10)

Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.

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2 years ago
Which of the following is defined by a line parallel to one side of a triangle
Katarina [22]

Answer:

Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

  • If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

If

DE║AC

then

\frac{BD}{DA} = \frac{BE}{EC}

Therefore, Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

Learn more about Triangle Proportionality Theorem from brainly.com/question/11827486

#learnwithBrainly

3 0
3 years ago
Which of the following situations could be modeled by an exponential function?
Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

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Then if in year 1 they collected A.

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if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0
2 years ago
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