1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
horrorfan [7]
3 years ago
10

1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?

Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer:

Step-by-step explanation:

1)  The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis.  Thus, the radius is 5.

2)  Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

                     (x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6.  The center is at (4, -3) and the radius is 6.

3)  Notice that A and B have the same x-coordinate, x = 15.  The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction.   Arbitrarily choose A(15, 4) as one point on the circle.  Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

You might be interested in
SSHA scores Here are the scores on the Survey of Study Habits and Attitudes (SSHA) for 18 first-year college women:154 109 137 1
mihalych1998 [28]

Answer:

Women has better study habit than men.

Step-by-step explanation:

For knowing who has better study habits and attitudes toward learning we have to find the mean of both the women and men data.

The first step is that we only take first 18 values of both women(X) and men(Y) data, to make them of same length

Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.  

Calculating all values:

\bar{X} = 141.0556

\bar{Y} = 121.25

Thus, women has better study habit than men. Since Mean of X is larger than Mean of Y.

5 0
3 years ago
Sophia bought 18 packs of lemonade each pack has 24 cans answer key
Juliette [100K]
Answer is 432 cans in total
18 packs times 24 cans in each is 432
5 0
2 years ago
The diameter of the inscribed circle in a regular hexagon is 4√3 inches long. What is the perimeter of this regular hexagon?
barxatty [35]

Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

= 20.784609691 inches.

Approximately 20.785 inches

3 0
3 years ago
What is 312.15 in expanded form?
Andrei [34K]
300+10+2 +.10=.5 hope this helps you
3 0
3 years ago
Sevens sixteenths of the children smirked when they heard the joke. If 210 children smirked, how many children heard the joke?
cupoosta [38]
Take 716 minus by 210 you going to see a much the children joke
3 0
3 years ago
Read 2 more answers
Other questions:
  • Write each fraction or mixed number as a decimal.
    15·1 answer
  • If B is the midpoint of ac, ab=x+6, and ac =5x-6, then what is bc?
    12·1 answer
  • Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?
    7·1 answer
  • A text font fits 12 characters per inch using the same font how many catchers can be expected per yard of text
    6·1 answer
  • Is the ordered pair, in the form (x, y), a solution of the equation below?
    12·1 answer
  • There are 12 students in a homeroom wearing a school t-shirt these students make up 60% of the class how many students are in th
    13·1 answer
  • Darnell’s team scored 40 points at the game. Darnell scored 15% of the team’s points. How many points did Darnell score?
    7·1 answer
  • Four less than the product of one and a number X. <br><br><br> Please help me.
    7·1 answer
  • FREE BRAINLY!!!! PLEASE HELP
    10·2 answers
  • Um ok i need help pls give correct answers
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!