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
Nookie1986 [14]
3 years ago
8

What are the coordinates of the circumcenter of a triangle with vertices A(−3,−4), B(1,−4), and C(−3,0)?

Mathematics
2 answers:
ra1l [238]3 years ago
8 0
The coordinate of the circumecenter of a triangle is A
kvv77 [185]3 years ago
6 0
The circumcenter is equal distance from all 3 verices.
Using distance formula, equate distance to A with distance to C:
(x+3)^2 +(y+4)^2 = (x+3)^2 + y^2
The x terms cancel, Expand and solve for y:
y^2 +8y+16 = y^2
y = -2
Now do same thing for point A and B:
(x+3)^2 + (y+4)^2 = (x-1)^2 + (y+4)^2
y terms cancel
x^2 +6x+9 = x^2-2x+1
x = -1

Circumcenter is the point (-1,-2)

You might be interested in
Work out the value of x.
tangare [24]

Answer:

The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.

Step-by-step explanation:

4 0
3 years ago
What is the solution set of y = x2 + 2x + 7 and y = x + 7? A. {(0, 7), (-1, 6)} B. {(0, 7), (-7, 0)} C. {(0, 7), (1, 8)} D. {(-2
Elena-2011 [213]

Answer:

A.

Step-by-step explanation:

If

y=x^2+2x+7 AND

y = x + 7, then by the transitive property of equality:

x^2+2x+7=x+7

We can solve for the values of x by getting everything on one side of the equals sign and then solving for x:

x^2+x=0

We can factor out the common x to get:

x(x + 1) = 0

which tells us by the Zero Product Property that either

x = 0 and/or x + 1 = 0 and x = -1

We are expecting 2 solutions for x since this is a second degree polynomial.  We will sub both -1 and 0 into y = x + 7 to solve for the corresponding values of y

y = 0 + 7 so

y = 7 and the coordinate is (0, 7)

y = -1 + 7 so

y = 6 and the coordinate is (-1, 6)

8 0
3 years ago
The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
BaLLatris [955]

Answer:64x64x64

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Cottage cheese is being sold in different size containers. The sizes and prices are given below: 4 - 5 ounce containers for $5.
Karolina [17]

Division is the process of finding the number of times a number is multiplied by itself. The 16-ounce container is the better buy.

<h3>What is Division?</h3>

The division is the process of finding the number of times a number is multiplied by itself.

The prices of the different size containers are given to us,

4-5 ounce containers for $5. 00

1-12 ounce container for $3. 24

1-16 ounce container for $4. 19

Now, find the cost of the cheese per ounce when we buy the minimum cheese and when we but the maximum amount of cheese.

1.   For the first Container, 4-5 ounce containers for $5.00

If we buy 4 ounces of cheese, then the cost of each ounce of cheese will be $1.25 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $1.

2.  For, the second container, 1-12 ounce container for $3.24

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $3.24 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $0.27.

3.  For, the third container, 1-16 ounce container for $4.19.

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $4.19 for each ounce, while if we buy the maximum amount of cheese therefore 16 ounces for $4.19 then the cost of each ounce of cheese will be $0.26.

Thus, if we buy the maximum amount of cheese from each of the boxes, the third box will be the cheapest.

Hence, The 16-ounce container is the better buy.

Learn more about Division:

brainly.com/question/369266

3 0
2 years ago
#2 is the one I need help with
sleet_krkn [62]

Step-by-step explanation:

By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

9x = 360°

x = 360°/9

x = 40°

3x = 3* 40° = 120°

By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

By tangent secant theorem:

m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}

Since, measure of central angle is equal to the measure of its corresponding minor arc.

m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

By angle sum Postulate of a triangle:

m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}

3 0
3 years ago
Other questions:
  • Which situation would be represented by zero? An altitude of 37 feet. An altitude of 7 meters below sea level. An altitude of 8
    10·2 answers
  • Which conversion factor would you use to convert between these pairs of units minutes to hours grams to milligrams cubic decimet
    8·1 answer
  • I need help with this math question I don’t understand
    11·1 answer
  • H(a)=2a-5<br> g(a)=a^2<br> Find h(g(a))
    12·1 answer
  • What is the answer to 4x-7=-2(1-2x)?
    14·2 answers
  • List all the possible results that are divisible by 3.​
    7·1 answer
  • A study of 10 different weight loss programs involved 500 subjects. Each of the 10 programs had 50 subjects in it. The subjects
    7·1 answer
  • Best answer gets brainliest
    10·1 answer
  • Please help 3x + 2y = 13<br> 6x + 4y = 26<br> Many solution, one solution, or no solution
    14·1 answer
  • 5/4 (x-2)+2x-4=9 <br> I need help with this please
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!