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krek1111 [17]
3 years ago
6

Find the coordinates of the center of the following circle. (x - 3)² + (y - 7)² = 49

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

When you write the equation of a circle in the form

(x-x_0)^2+(y-y_0)^2=r^2

Then the center of the circle has coordinates (x_0, y_0) and the radius is r

So, in your case, the center of the circle is (3,7)

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I need help tell me what the voulume is
Vladimir [108]

Answer:

8 3/4 cubic or 8.75

Step-by-step explanation:

To find volume it’s

Length * width * height

4 0
3 years ago
The lengths of three sides of a quadrilateral are shown below:
julsineya [31]
Answers: 
Part A: 12y² + 10y – 21
Part B: 4y³ + 6y² + 6y – 5 
Part C: See below.

Explanations: 
Part A: 
For this part, you add Sides 1, 2 and 3 together by combining like terms:
Side 1 = 3y² + 2y – 6
Side 2 = 4y² + 3y – 7
Side 3 = 5y² + 5y – 8
3y² + 2y – 6 + 4y² + 3y – 7 + 5y² + 5y – 8
Combine like terms: 
3y² + 4y² + 5y² + 2y + 3y + 5y – 6 – 7 – 8 
12y² + 10y – 21

Part B: 
You have the total perimeter and the sum of three of the sides, so you just need that fourth side value, which we can call d.
P = 4y³ + 18y² + 16y – 26
Sides 1, 2 & 3 = 12y² + 10y – 21 
Create an algebraic expression: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
Solve for d: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
– 12y²                                – 12y²
10y – 21 + d = 4y³ + 6y² + 16y – 26 
– 10y                               – 10y
– 21 + d = 4y³ + 6y² + 6y – 26 
+ 21                                + 21 
d = 4y³ + 6y² + 6y – 5 

Part C: 
If closed means that the degree that these polynomials are at stay that way, then yes, this is true in these cases because you will notice that each side had a y², y and no coefficient value except for the fourth one. This didn't change, because you only add and subtract like terms.
7 0
3 years ago
The photo below shows the Royal Ontario Museum in Toronto, Canada. Are angles 2 and 4 alternate interior angles, same side inter
Sav [38]

Answer:

Alternate interior angles

8 0
3 years ago
The ratio of boys to girls at the dance was 8 to 4. How many girls were at the dance if there were 88 boys at the dance?
nevsk [136]

88/8=11.

So multiply 4 by 11.

4x11=44

So the ratio is 88:44.

There are 44 girls at the dance

---

hope it helps

5 0
3 years ago
Pls help my with one and two asap
Dafna11 [192]

Answer:

Step-by-step explanation:

for nr. 1

sum of angles in  a triangle=180

x=180-(81+84)=15

acute triangle

for nr.2

x=180-(24+36)=120

obtuse triangle

4 0
3 years ago
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