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3 years ago

What is the perimeter of 2 m 10 cm and 45 cm

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

57 cm is the perimeter causd all you do is add the outside and alll you have to do is add those numbers

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members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.

WITCHER [35]

When handling problems of this nature make sure you setup the equations.
x = number of times they rent a boat.

Members
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out.
Cost = 14.75x

so now to determin when cost would be equal we set the two equations = to each other

105 + 9.50x = 14.75x

now solve for x

105 = 5.25x

20 = x

so they would have to rent 20 times to equal each other.

4 0

2 years ago

Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0

3 years ago

What is a ratio that compares two quantities measured in different units

Lisa [10]

A ratio that compares two quantities measured in different units is a conversion factor!

8 0

3 years ago

1 ) Tim earns $12.50 an hour cleaning houses. If he works from 8:00am to 2:00pm,

AVprozaik [17]

Answer:

$75

Step-by-step explanation:

First, we will find how many hours he worked. 8:00-12:00 is 4 hours, and 12:00-2:00 is 2 hours, so he worked a total of 6 hours.

Next, we have to multiply the hours worked by his hourly wage.

12.50*6=75

8 0

3 years ago

Read 2 more answers

irakobra [83]

Answer:

a) P(0, 2), Q(4, 0)

b) Please find attached the plot of the points P and Q on a chart made with MS Excel

c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel

Step-by-step explanation:

The given equation for the line is 4·x + 2·y = 8

a) The coordinates of P = P(0, _)

Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)

When y = 0 from the given equation, we get;

4·x + 2·y = 8

At the point y = 0;

4·x + 2 × 0 = 8

x = 8/4 = 2

x = 2

∴ The coordinates of P = P(0, _) = P(0, 2)

Similarly, when x = 0, we get;

4·x + 2·y = 8

At the point x = 0;

4 × 0 + 2·y = 8

y = 8/2 = 4

y = 4

∴ The coordinates of Q = Q(_, 0) = Q(4, 0)

b) Rewriting the given equation in terms of 'y' gives;

y = (8 - 4·x)/2 = 4 - 2·x

y = 4 - 2·x

With the help of MS Excel, the points P and Q are plotted in the attached graph

c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.

3 0

2 years ago