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3 years ago

SOMEONE PLEASE HELP!!!!!!!

Mathematics

1 answer:

aleksklad [387]3 years ago

6 0

I strongly recommend that you find an illustration of an ellipse that features the three distances a, b and c. You could Google "ellipse" and sort through the various illustrations that result, until you find the "right one."

There is an equation that relates a, b and c for an ellipse. It is a^2 = b^2 + c^2.

a is relatively easy to find. It is the distance from the center (0,0) of your ellipse to the right-hand vertex (20,0). So a = 20.

b is the distance from the center (0,0) of your ellipse to the right-hand focus (16,0). So b = 16. You could stop here, as it was your job to find b.

Or you could continue and find a also. a^2 =b^2 + c^2, so

here a^2 = 16^2 + 20^2. Solve this for a.

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Members of the Wide Waters Club pay

vivado [14]

Answer:

The number of times members and non-members will have to rent a boat in order to pay the same amount=20

Step-by-step explanation:

We can have two expressions to show the total cost paid by a member and non-member;

Total cost by member=Cost per summer season+cost per number of times they rent a boat×number of times they rent a boat

where;

Cost per summer season=$105

Cost per number of times they rent a boat=$9.50

Number of times they rent a boat=n

Replacing;

Total cost by a member=105+(9.5×n)=9.5 n+105......equation 1

Total cost by a non-member=Cost per number of times they rent a boat×number of times they rent a boat

where;

Cost per number of times they rent a boat=$14.75

Number of times they rent a boat=n

Replacing;

Total cost by a non-member=(14.75×n)=14.75 n......equation 2

To calculate the number of times they would have to rent a boat in order to pay the same amount, we equate equation 1 to equation 2

9.5 n+105=14.75 n

14.75 n-9.5 n=105

5.25 n=105

n=105/5.25

n=20

The number of times members and non-members will have to rent a boat in order to pay the same amount=20

6 0

3 years ago

Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)

tigry1 [53]

Answer:

$M(x,y) = (1,3)$ belongs to the line $y = 2\cdot x +1$ . Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

$y=k\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$k$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

If we know that $b = 1$ , $x = 1$ and $y = 3$ , then we clear slope and solve the resulting expression:

$k = \frac{y-b}{x}$

$k = \frac{3-1}{1}$

$k = 2$

Then, we conclude that point $M(x,y) = (1,3)$ belongs to the line $y = 2\cdot x +1$ , whose graph is presented below.

3 0

2 years ago

A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The cha

SashulF [63]

The parameter of the study's population is the 80% of all customers who shopped in the chain's stores that were interested in the home delivery service.

Population parameter is defined as any summary number that describes the entire population. It can be an average or a percentage/

The 1,000 customers that were surveyed are the sample of the population. They basically represent the population of the chain's customers.

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2 years ago

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Write an expression equivalent to `b+b+b+b+b` that is a product of a coefficient and a variable.

mestny [16]

Answer:

b^5

Step-by-step explanation:

5 0

2 years ago

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