A circle on the coordinate plane has a diameter
with endpoints at (6, 8) and (15, 8).
a. What are the coordinates of the center of the
circle?
b. What is the diameter of the circle?
C. What is the radius of the circle?
d. Identify the coordinates of another point
on the circle. Explain how you found
your answer.
Answers
9514 1404 393
Answer:
a. (10.5, 8)
b. 9
c. 4.5
d. (10.5, 12.5)
Step-by-step explanation:
a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.
C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center
__
b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter
__
c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius
__
d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle
Related Questions
what is the range of the following data 7,5,9,10,1,2,2,8
Answers
Answer:
9
Step-by-step explanation:
There are 20 children at a library. Six of the children have a averahe age of 5 years. The remaining children have a sverage age of 8 years. What is the average age of the children at the library?
Answers
Answer: The average age of the children at the library is 7.1 years.
Step-by-step explanation:
Given,
Out of 20 children, six of the children have an average age of 5 years,
Thus, the sum of the ages of 6 students = 5 × 6 = 30
( Total sum of observations = Their Average × Total numbers of the observations )
Now, remaining students = 20 - 6 = 14,
Since, the remaining children have an average age of 8 years.
Thus, the sum of the ages of 14 students = 14 × 8 = 112,
Total sum of the ages of 20 students = 30 + 112 = 142
=142/20
= 7.1 years
Answer:
The average is 7.1 years!
Step-by-step explanation:
6 children = average of 5 years
14 children = average of 8 years
1- “Dados provenientes de 2.783 homens e 5.018 mulheres maiores de 65 anos de idade da Pesquisa Nacional de Saúde dos Estados Unidos de 1990 determinaram a prevalência de atividade física regular, que naquele estudo foi definida como a participação em atividades físicas no tempo livre por três ou mais vezes por semana e por mais de 30 minutos nas últimas duas semanas. Com esses parâmetros os autores encontraram uma prevalência de atividade física regular de 37% no sexo masculino e 24% no sexo feminino.” Quantos idosos do sexo masculino e do sexo feminino praticam atividade física regular?
Answers
Answer:
no hable spanish
Step-by-step explanation:
Hey i need help with this
Answers
Answer:
The x-intercepts are 1 and 3
The y-intercept is 3
The vertex is (2,-1)
The line of symmetry is x=2
Step-by-step explanation:
To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)
explain how sandbars in the ocean are formed.
Answers
Answer:
Sandbars begin forming underwater. As waves break, this pulls material from the shoreline, migrating further into the ocean. During heavy storms, large waves can build sandbars far from shore, until they rise above the water's surface.
Step-by-step explanation:
Water brings sand and other sediment to the surface and creates a strip of land that lays between water.
plz crown
An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.
Answers
Answer:
Step-by-step explanation:
150 mile by car x mph
630 mile by plane 3x mph
Total travel time equal 8 hours
150 / x mile / (mile / hour) = hour
630 / 3x mile / (mile / hour) = hour
150/x + 630/3x = 8 hours
450/3x + 630/3x = 8 hours
450 + 630 = 8(3x) = 24x
1080 = 24x
45 = x the rate of the car is 45 mph
101
Figure ABCD is reflected across the x-axis.
What are the coordinates of A'B'C', and D',
Enter your answer by filling in the boxes.
9
7
5
A'D
2
1
4
B's
C'ad
D'
Answers
Answer:
私は人間の前に神の弓です
翻訳してください
Step-by-step explanation:
What is area?
The space inside a circle.
The distance across a circle.
The distance around a circle.
Answers
Answer:
The space inside a circle
Step-by-step explanation:
What integer is the opposite of 32 degrees Celsius below zero?
Answers
Answer:
-32?
Step-by-step explanation:
i just need 2 more questions please helppp
Answers
Answer:
it prolly might be 90 coz vertically opposite triangles
120+x=180
x=60
Ella is making a kite in the shape of a triangular prism, but with both ends open. Which net shows the faces that
would be used to calculate surface area shaded?
Answers
Answer: the answer is the second one :)
Step-by-step explanation:
The net is shown in the picture that can used to calculate surface area shaded.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We know that kite is quadrilateral, having:
Two pairs of congruent sides.It has one pair of opposite congruent angles.The diagonals of a kite are perpendicular.One diagonal is bisected.The top and bottom angles are bisected butKite does not have congruent diagonals.
As we have given that, Ella is making a kite in the shape of a triangular prism, but with both ends open.
Thus, the net is shown in the picture that can used to calculate surface area shaded.
Learn more about the quadrilateral here:
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Is 16/36 the same value of 4/9?
Answers
Answer:
Yes, 16/36 and 4/9 are equivalent fractions; the latter is the simplified form of the original fraction: 16/36.
Step-by-step explanation:
21
х
15
X
(Round to the nearest tenth)
Answers
Answer:
that would be 6
x = 6
Step-by-step explanation:
Which equations are true for the values of x, y, and z? Select three options.
650
z
x
y
Ox+65º = 180°
OY= 65°
3x = 65°
Answers
Answer:
A) x + 65 = 180
B) x = z
C) y = 65
Step-by-step explanation:
If you are facing South-west, you should turn ______degree anti-clockwise to face North ?
Answers
Answer:
You should turn 225 degrees anti-clockwise to face North.
Can someone help with my math cw ?
Answers
Answer:
Step-by-step explanation:
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Find an equation of the line that goes through the points (-9,62) and (5,-22).
Answers
Answer:
y = -6 x + 8 (I think)
Step-by-step explanation:
Answers please and explain
Answers
To get the answer you have to fill in the 14 for r because that is the radius. Then multiply 14 by it self to get 196 then multiply that by pie to get your answer of 615.75216.
So the answer is 615.75216
A) 45
B) 120
C)120
D) 60
Answers
Opposite sides are same
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answers
Answer:
b
Step-by-step explanation:
both functions are decreasing because the slope is negative :)
Answer: Function I equals 3 and Function II equals 1 and 5 over 7. Different y intercept , with a neutral slope, the functions slope are decreasing
Paige and her family went to the movies. They bought 4 tickets and paid $12
for popcom. They spent $40. How much did each ticket cost?
Choose two answers: one for the equation that models this situation and one
for the correct answer.
A. Answer:$3
B.Equation:12+4x=40
C. Equation:4+12x=40
D. Answer:$7
Answers
Answer:
D. $7
Step-by-step explanation:
i think it would be "D". the reason why i chose that answer is because first of all the total they spent is $40 right? as we see in this equation, paige and her family purchased $12 for popcorn. what does that mean? it means that 40-12= $28 that is left. the money that is left is the total of all 4 tickets. 28 divided by 4 is 7 so the answer is $7
How can you prove a triangle is an equilateral triangle? (4 points)
a
Use the distance formula to see if at least two sides are congruent.
b
Use the slope formula to see if any sides are perpendicular.
c
Use the distance formula to see if all three sides are congruent.
d
Use the slope formula to see if any sides are parallel.
Answers
Answer:c
Use the distance formula to see if all three sides are congruent.
Step-by-step explanation:
An equilateral triangle is a triangle which has three sides with the same lengths. If we check for congruence we are checking to see if all the sides are the same :)
To prove a triangle is an equilateral triangle by using the distance formula to see if all three sides are congruent, the correct option is C
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given;
To prove a triangle is an equilateral triangle
Now, we have to use the distance formula: d = sqrt( (x2 - x1)² + ( y2 - y1 )²)
When 2 sides are congruent it could be a scalene triangle, so it is not enough. All 3 sides must be congruent.
Therefore, the answer will be by use the distance formula of triangle to see if all three sides are congruent.
Learn more about congruent triangles;
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Victor buys 4 sleeves of golf balls. He has coupons for $0.75 off the regular price of each sleeve. After using the coupons, the total cost of the golf balls is $11. What is the regular price of each sleeve of golf balls?
Answers
His coupon is for .75 off each sleeve. He got four sleeves, so you’d multiply .75 x 4 to get 3.
Then add 3 + 11 to get the total price he would have paid without the coupon (14).
Then divide 14 by 4 (the number of sleeves he bought) to get 3.50
A ladder leans against a building, making a 70° angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground.
To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?
Question 4 options:
13.3 ft
14.2 ft
36.6 ft
41.5 ft
Answers
Answer:
14.2feet
Step-by-step explanation:
Given the following
Angle of elevation = 70degrees
Height of the building from the ground = 39feet (opposite)
Required
distance between the base of the building and the base of the ladder (adjacent)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 70 = 39/d
d = 39/tan 70
d = 39/2.7475
d = 14.2
Hence the distance between the base of the building and the base of the ladder is 14.2feet
What’s 50 divided by 50?
Answers
Answer:
69 nah i'm kidding 4069 nah i'm kidding its 40 nah butt fr its 0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
50 fits in 50 once
50 ÷ 50 = 1
50 × 1 = 50
Alice earns M dollars for working 40 hours in a week.Which expression represents the amount of money alice earns each hour?
A.40M
B.40+M
C.40/M
D.M/40
Answers
Answer:
m/40
Step-by-step explanation:
A gym charges $25 per month plus extra four dollars to swim in a pool for an hour if a member only has $45 to spend each month at most how many hours can’t remember swim
Answers
Answer:
5 hours
Step-by-step explanation:
So the set fee is 25. 45-25 = 20. Now, 4 dollars an hour. 20/4 = 5, so 5 hours
For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answers
Answer: 1st unique 2nd nothing 3rd more than 1
Step-by-step explanation:
The table shows the results of a survey on the number of text messages per month for people of different ages. Based on this survey, what is the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60? A) 157/229 B) 157/312 C) 157/384 D) 157/456
Answers
Answer:C
Step-by-step explanation:I took the test got a
The probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60 is 157/456.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given is table showing the results of a survey on the number of text messages per month for people of different ages.
we need to find the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60,
P(E) = favorable outcomes / total outcomes
Favorable outcomes = 157
Total outcomes = 456
Hence the required probability = 157 / 456
Hence the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60 is 157/456.
Learn more about probability click;
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3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answers
Answer:
D. -3
Step-by-step explanation:
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