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3 years ago

If a solid has 6 faces and 12 edges, how many vertices does it have?

Mathematics

1 answer:

Svet_ta [14]3 years ago

7 0

Answer is 8! Example of a "6 faced, 12 edged" figure above. Hope this helps c:

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Need help with homework

motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

$r^2=\Delta x^2+\Delta y^2$

In this case, we will solve the delta with the center coordinate and the B coordinate.

$\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}$

Therefore, the equation for the standard form of a circle is:

$\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}$

In conclusion, the equation is the following:

$(x+8)^2+(y+7)^2=25$

4 0

1 year ago

At the beginning of a walk, roberto and juanita are 7.77.7 miles apart. if they leave at the same time and walk in the same di

dem82 [27]

Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.

Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.

_____
In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
R + J = total speed
R - J = difference speed
Adding these two equations, we have
2R = (total speed + difference speed)
R = (total speed + difference speed)2 . . . . . as computed above

4 0

3 years ago

The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.

baherus [9]

Answer:

9514 1404 393

Answer:

C The unit rates are the same.

Step-by-step explanation:

The rate of change for the equation is the coefficient of x: 4.5.

The rate of change for the table is computed as described in the problem statement:

unit rate of change = ∆y/∆x = (18-9)/(4 -2) = 9/2 = 4.5

The unit rates are the same.

Step-by-step explanation:

4 0

2 years ago

Can u plz answer this question

Burka [1]

4:44 pm but I might be wrong.

5 0

3 years ago

What is the average rate of change of the function f(x)=480(0.3)x from x = 1 to x = 5?

m_a_m_a [10]

aerage rate of change is just the slope from the endpoints of teh interval

ie $averagerateofchange=slope=\frac{f(5)-f(1)}{5-1}$

assuming you mean $f(x)=480(0.3)^x$

evalaute f(5) and f(1)

f(5)=480(0.3)^5=1.1664

f(1)=480(0.3)^1=144

average rate of change=(1.1664-144)/(5-1)=-35.7084

the average rate of change of the function on the interval x=1 to x=5 is -35.7084

8 0

3 years ago