All categories

3 years ago

Write the equation of a circle with a center at (6, 7) and a diameter of 4.

Mathematics

1 answer:

posledela3 years ago

8 0

Answer:

(x - 6)² + (y - 7)² = 4

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r²

Given center(h,k) = (6,7)

h = 6

k = 7

Dimeter = 4 --

radius, r = $\frac{4}{2}$ = 2

(x - h)² + (y - k)² = r²

(x - 6)² + (y - 7)² = 2²

(x - 6)² + (y - 7)² = 4

You might be interested in

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

Scilla [17]

Set each factor equal to zero and solve.
x + 6 = 0 x - 3 = 0
x = - 6 x = 3

7 0

3 years ago

Read 2 more answers

A tiger eats as much as 40 pounds if food at a time but it may go for several days without eating anything suppose a Siberian ti

lilavasa [31]

If I'm understanding this correctly:

Tiger consumes 18lb/day of food. If we want to calculate how much is consumed in 28 days, assuming that rate is consistent, the answer is 18*28 = 504lb of food.

7 0

3 years ago

Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I

Sindrei [870]

The value of a is $\frac{-9}{4}$

Step-by-step explanation:

1. Determine the other solution of x

If one value is 5 + $\frac{3}{2}$ then the other value is 5 - $\frac{3}{2}$

2. Use reverse technique to find the equation

(5 + $\frac{3}{2}$ ) (5 - $\frac{3}{2}$ ) = 0

25 - $\frac{-15}{2}$ + $\frac{15}{2}$ - $\frac{9x^{2} }{4}$ = 0

- $\frac{9x^{2} }{4}$ + 25 = 0

3. The equation is - $\frac{9x^{2} }{4}$ + 25 = 0

4. Find the value of a

a is the number with the variable $x^{2}$ therefore it is - $\frac{9}{4}$

Keyword: quadratic equation, solution

Learn more about quadratic equation at

#LearnwithBrainly

8 0

3 years ago

I need help with this question

umka21 [38]

Answer:

$Tax~required~to~be~paid = 5.4% (5) = \frac{5.4}{100}(5) = \frac{27}{100}$ $~of~(5) = \frac{5.4}{100}(5) = \frac{27}{100} = 0.27~dollars$

8 0

2 years ago

Which is the solution of this system of equations? y=5x−83y=x+18 y+5(3)=15

Ulleksa [173]

Answer:

y=5x−83y=x+18 (the question is wrong; it has 2 equal signs)

y+5(3)=15

y+15=15 (multiply 5*3; you get 15)

y= 15-15

y= 0

7 0

3 years ago