What is the number of edges in a pyramid with seven faces

Answers

Answer 1

Answer: There would be 12 edges in a 7-sided pyramid.
There would be 7 vertices in this pyramid, each point.

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The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .

Answers

m=6,a'b'=3.5 square root 37

Answer:

The slope is m=6 and length of line is $d' =3.5√(37)$

Step-by-step explanation:

Given : The endpoints of line AB are A(2, 2) and B(3, 8). Line AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image line A'B' .

To find : What are the slope (m) and length of line AB?

Solution :

The slope of a line does not change.

Slope formula is,

$m=(y_2-y_1)/(x_2-x_1)$

The slope of AB A(2, 2) and B(3, 8) is :

$m=(8-2)/(3-2)\n\nm=(6)/(1)\n\nm=6$

Distance formula, $d = √((x_2-x_1)^2 + (y_2-y_1)^2)$

The length of AB by distance formula,

$d = √((3 - 2)^2+(8-2)^2)\nd = √((1)^2+(6)^2)\nd=√(1+36)\nd=√(37)$

Line AB is dilated by a scale factor of 3.5.

The length of A'B' is :

$d' =3.5*√(37)\nd' =3.5√(37)$

Therefore, The slope is m=6 and length of line is $d' =3.5√(37)$

Which is the point where sides meet in a polygon

Answers

The point where sides meet in a polygon is called the vertex.

It is called a vertex, or a corner.

24. Congratulations! You have just won a jet ski worth $8000. The depreciated value of the jet ski (V) after t years is given by V = 8000 − 725t , 0 ≤ t ≤ 11.a. Use a graphing utility to graph the equation. Include a t-chart with at least 5 key points with your accurate labeled graph.
b. After how many years will the jet ski be worth $5100? Show all of your work or explain how you came up with your answer.
c. What will be the value of the jet ski after 9 years? Show all of your work or explain how you came up with your answer.

Answers

So:

$V=8000-725t\quad \{ 0\le t\le 11\}$

*V (in dollars) stands for the depreciated or non depreciated value of the jet ski.

*t (in years) stands for the amount of time that has passed. t is greater or equal to 0 and less than or equal to 11.

-------------------

Question (a):

Now V is a function of t. V=f(t).

When t=0, V=0 --> Point:(0,0)

When t=2, V=6550 --> Point (2, 6550)

When t=4, V=5100 --> Point (4, 5100)

When t=6, V=3650 --> Point (6, 3650)

When t=8, V=2200 --> Point (8,2200)

When t=11, V=25 --> Point: (11, 25)

So as the graph V=8000-725t is LINEAR, we can draw a line through the points mentioned above.

------------------------

Question (b): After how many years will the jet ski be worth $5100?

$8000-725t=5100\n \n 8000-5100=725t\n \n 2900=725t\n \n \frac { 2900 }{ 725 } =t\n \n \therefore \quad t=4,\quad when\quad V=5100$

Answer: 4 years.

-----------------------

Question (c): What will be the value of the jet ski after 9 years?

$When\quad t=9,\n \n V=8000-725\left( 9 \right) \n \n =1475$

The answer is $1,475.00

a) $y=mx+c$
$m=gradient=-725$
$y(v)-intercept=8000$

b) $5100=8000-725t$
$2900=725t$
$t=4$
The value will be 5100 after 4 years.

c) $V=8000-725(9)$
$V=8000-6525$
$V=1475$
The value of the jet will be 1475 after 9 years.

Hope I helped bro, now i can sleep

Will someone PLEASE check my answers asap?? will mark a brainliest!!1) The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is ____

2) Find an equivalent function to f(x) = 4(7)2x.

A) f(x) = 282x
B) f(x) = 4(49)x
C) f(x) = 196x
D) f(x) = 16x(49)x

3) The functions f(x) and g(x) are described using the following equation and table:

f(x) = −6(1.02)^x

x g(x)
−1 −5
0 −3
1 −1
2 1

Which equation best compares the y-intercepts of f(x) and g(x)?

a) The y-intercept of f(x) is equal to the y-intercept of g(x).
b) The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
c) The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
d) The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

4) What is the value of x in the solution to the following system of equations? (5 points)

x − y = −3
x + 3y = 5

For #1 i put in 3 as the answer.
For #2 i put B as the answer.
For #3 i put B as the answer.
For #4 i put 2 as the answer.

Answers

Answer:

1) 3

2) B

3) B

4) x=-1

Step-by-step explanation:

1) The graph of $f(x) = (0.5)^x$ is replaced by the graph of $g(x) = (0.5)^x-k.$ If g(x) is obtained by shifting f(x) down by 3 units, the value of k is 3.

2) Consider the function $f(x)=4(7)^(2x).$ Note that $7^(2x)=(7^2)^x=49^x.$ Then

$f(x)=4\cdot 49^x.$

3) The y-intercept of f(x) is point (0,-6), because $f(0)=-6\cdot (1.02)^0=-6.$ The y-intercept of g(x) is point (0,-3). Then the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).