The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is(x - 4)² + (y - 3)² = 25
(x - 2)² + (y - 4)² = 25
(x - 2)² + (y - 4)² = 100
Answers
The center of the circle is the midpoint of the diameter.
The 'x' coordinate of the midpoint is (1/2) (6 - 2) = 2
The 'y' coordinate of the midpoint is (1/2) (7 + 1) = 4
The center of the circle is the point (2, 4) .
The length of the diameter of the circle is the distance
between the endpoints of the diameter.
The distance between (-2, 1) and (6, 7) is
√ (8² + 6²)
= √ (64 + 36)
= √ 100 = 10 .
The radius of the circle is 1/2 of 10 = 5 .
Now, the equation of any circle is
(x - [x of the center])² + (y - [y of the center])² = (radius)² .
and we have all the numbers now.
(x - 2)² + (y - 4)² = (5)² .
I'm very happy to see that this equation is actually
one of the choices ! I'll bet you are too.
Answer:
Step-by-step explanation:
In the picture you can see that has endpoints of (-2, 1) and (6, 7)
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Answers
Data we are looking for:
x - subscription plan
y - rate per minute
1. Finding the monthly fee (x) + rate per minute (y)
x + 150y = 45.50
x + 100y = 38.00
you have to deduct those equatations (x - x = 0, 150y - 100y = 50y, 45.5 - 38 = 7.5)
- finding rate per minute:
50y = 7.50
5y = 0.75
y = 0.15
- finding monthly fee
x + 150 *0.15 = 45.50
x = 45.50 - 22.50
x = 23.00
Looking at the data above you can see that no matter for how many minutes you use your phone you have to pay 23$. For every minute you spend talking the fee is 0.15$
That is why (z) the total amount you have to pay consist of 23 (subscription) + 0.15y (15c per minute):
z = 23 + 0.15y
Add a comment if sth is not clear
Answer:
Step-by-step explanation:
We can make 2 simultaneous equations and solve for the set fee
and the per minute charge:
Let x = fixed monthly rate
Let m = per minute charge
x + 100m = 135 {equation 1}
x + 500m = 375 {equation 2}
subtract equation 1 from equation 2
400m = 240
m = 0.6
substitute that back into equation 1 or 2 to solve for x.
Using equation 1
x + 100(.6) = 135
x + 60 = 135
x = 75
The fixed monthly rate is $75
The per minute charge is $0.6
*****************************
If y is the total cost for a month and x is the
number of minutes used the equation is:
y = 0.6x + 75
Which shape can be classified as a rectangle? (2 points)
a
Rhombus
Сь
Square
c
Trapezoid
d
Parallelogram
Answers
Answers
The money spend on lottery tickets is 40%
Answers
A 1 = 6 * 1 = 6
A 2 = 6 * 2 = 12
A 3 = 6 * 3 = 18
A 4 = 6 * 4 = 24
A 5 = 6 * 5 = 30
Answer:
The first five terms in the sequence are: 6, 12, 18, 24 and 30.
Answers
42 = 21 × 2...not going to work.
42 = 14 × 3...not going to work. (Though -14 and -3 add to -17)
42 = 7 × 6...not going to work.
There are no whole number solutions to this question.
Answers
123 meetings the manufacturing company need to schedule.
What is the percentage?
A relative value that represents hundredths of any quantity, the percentage. The hundredth component, one percent (symbolized as 1%), is denoted by 100 percent, while 200 percent denotes double the quantity stated.
Given, There are 33,483 employees in a manufacturing company. All of them had to attend the meeting since The meeting room holds a total of 315 persons.
Thus total meeting needed = 33,483/ 315
Total meeting needed = 122.16
Therefore, the company needs to hold 123 meetings so that all employees can attend the meeting.
Learn more about percentages here:
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