Ask question

Ask question

All categories

3 years ago

6

Each unit on a coordinate plane represents one mile. One end of a road starts at (-12, -3). The road ends at (6, -3). How long i

s the road?

1 answer:

kenny6666 [7]3 years ago

5 0

The distance from x=-12 to x=6 on the horizontal line y=-3 is
.. 6 -(-12) = 18 units

Since each unit represents 1 mile, the road is 18 miles long.

You might be interested in

Study the diagram of circle C, where two chords, AB and DE, are equidistant from the center.

irina [24]

The answer to what is the length of AB and the correct value is 20

I got a 100% on test

7 0

3 years ago

a bag contains 5 red 3 green 4 blue and 8 yellow marbles find the probability of randomly selecting a green marble and then a ye

alexira [117]

The probability of picking a green marble the first time is 3/20 and the probability of picking a yellow marble the second time is 8/20.
probabilities are heavily related to percents so it would make sense that the probability of picking a color would be the number of that color divided by the total number.

note that it is really important that the problem said that the marble was replaced. If the marble was not replaced, the probability of picking a yellow marble the second time would be 8/19 if the first marble picked was not a yellow one.

I hope this helps.

5 0

4 years ago

Who was targeted by the crusaders wh ile heading to constantinople

Likurg_2 [28]

Answer:

I believe Jerusalem was captured

3 0

4 years ago

I figured out that it's A but i need to how many square yards is the combined area of the plot NO LINKS AND NO DOING IT JUST FOR

goblinko [34]

Answer:

I believe both are 80 or 40

Step-by-step explanation:

5 0

3 years ago

A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0

3 years ago