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posledela
3 years ago
7

What is the radius of a circle whose equation is x2 + (y – 8)2 = 25?

Mathematics
2 answers:
Dafna11 [192]3 years ago
8 0
Use photo math :) and you will get your answer
Ann [662]3 years ago
5 0

Answer:

r = 5

Step-by-step explanation:

Compare this equation to the standard form

(x - h)^2 + (y - k)^2 = r^2

Through this comparison we see that h = 0, k = 8 and r = 5.

You might be interested in
Out of the 21 students in mrs Clark’s class by 3/7 of the class are boys
saul85 [17]

Answer:

There are 9 boys and 12 girls in mrs Clark's class

Step-by-step explanation:

We are given that mrs Clark has 21 students, of which 3/7 are boys

In order to find the number of boys, we multiply 21 by 3/7 which results in 9

This means there are 9 boys and then we just simply subtract 9 from 21 in order to find the number of girls 21-9=12

therefore there are 9 boys and 12 girls in mrs Clark's class

7 0
3 years ago
Read 2 more answers
Please help.. with 6 & 15 ​
Black_prince [1.1K]

Answer:

6. C: {x^2 +(y-1)^2 =2; x+y = 3}

15. C: The line does not intersect the circle.

Step-by-step explanation:

The formula for the distance (d) from a point (x, y) to a line ax+by=c is ...

d = |ax+by-c|/√(a^2+b^2)

The formula for a circle centered at (h, k) with radius r is ...

(x -h)^2 +(y -k)^2 = r^2

___

6. Comparing the circle equation to the generic equation, we find (h, k) = (0, 1) and r = √2. Then we want to find the line that is distance √2 from the center of the circle. Our line equation is x+y=c for some value of c that we want to find.

d = √2 = |0 +1 -c|/√(1^2+1^2)

2 = |1-c|

±2 = 1-c

c = 1±2 = -1 or 3

The line that is tangent to the circle is the one of choice C: x+y = 3

__

The attached graph shows the lines for all 4 answer choices. The point of tangency is (1, 2), so x+y=1+2=3.

___

15. The circle is centered at (4, 1) and has radius 3. The distance from the circle center to the line is ...

d = |2(4) -(1)|/√(2^2+(-1)^2) = 7/√5 ≈ 3.13

The distance from the circle center to the line is more than the radius of the circle, so there can be no points of intersection.

__

Alternate solution

You can substitute for y using the equation of the line. Then the circle equation becomes ...

(x -4)^2 + (2x -1)^2 = 9

x^2 -8x +16 +4x^2 -4x +1 = 9

5x^2 -12x +8 = 0

The discriminant of this quadratic is ...

b^2 -4ac = (-12)^2 -4(5)(8) = 144-160 = -16

Since this value is negative, there can be no real solutions, meaning the line does not intersect the circle.

3 0
3 years ago
I need help and it is y intercept and x intercept
Neporo4naja [7]

Answer:

y-intercept (0, -3) and x-intercept (3/2, 0)

Step-by-step explanation:

y + 5 =2(x + 1)

y + 5 =2x + 2

subtract 5 from both side

y =2x -3

-3 is the y-intercept because in y=mx+b, b is the y-intercept and it always starts at 0.

To find the x-intercept, we need to plug in 0 for y in y =2x -3

0=2x -3

add 3 to both sides

2x=3

divide both sides by 2

x=3/2 and so the x-intercept is 3/2 and it always starts at 0.

5 0
3 years ago
The perimeter of rectangular is 54 inches Its length is two times its width
USPshnik [31]
The length would be 18 inches and the width would be 9 inches since the length is twice its width and to find perimeter you do length x 2 and width x 2 and add it together so 18x2 = 36 and 9x2 = 18. 36 + 18 = 54
3 0
3 years ago
Help with this question plz I need the answer plz help me plz
olga nikolaevna [1]

Answer:

c

Step-by-step explanation:

45:15=3:1 not 1:3

4 0
2 years ago
Read 2 more answers
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