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Jobisdone [24]
3 years ago
9

What is the radius of the circle ? (X-3^2+(y-4)^2=49

Mathematics
1 answer:
vodomira [7]3 years ago
5 0

Answer:

7 units

Step-by-step explanation:

The formula for a circle is: (x-x_1)^2+(y-y_1)^2=r^2 , where (x_1, y_1) is the center of the circle and r is the radius.

Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.

Thus, the answer is 7 units.

Hope this helps!

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On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug
serg [7]

The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
  • The function has two x-intercepts.

<h3>What is vertex of parabola?</h3>

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6)  and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

b = -1

c = -6

Now, x-coordinate of vertex is given as,

x = -b/2a

put the values we get,

x = -(-1)/2*2

or, x = 1/4

Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

        = -49/6

       = -6 1/8

Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
  • The function has two x-intercepts.

More about vertex :

brainly.com/question/86393

#SPJ1

3 0
1 year ago
A building block is in shape of a cube with each side length of 5. what is the volume?
Alexeev081 [22]
5×5×5 = 125..... cubed
4 0
3 years ago
Which of the set of ordered pairs contains the line<br> 1/3 x+y= 15.
Dima020 [189]

Answer: c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the exponential form of the logarithmic equation?<br> 5 = logo.9 0.59049
galina1969 [7]

^ means to the power of or exponent

logb(x) = y is b^y = x

5 0
3 years ago
Read 2 more answers
Joe sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Joe made $20 at the bake sale. How man
AURORKA [14]

Answer:

4 cookies

Step-by-step explanation:

Let the number of cookies he sold be c and that of brownies be b.

Assuming that brownies and cookies are the only type of baked goods sold,

b +c= 10 -----(1)

Amount of money received= $20

b(cost of brownie) +c(cost of cookie)= $20

2.50b +1.25c= 20 -----(2)

From (1): b= 10 -c -----(3)

Substitute (3) into (2):

2.50(10 -c) +1.25c= 20

Expand:

2.50(10) +2.50(-c) +1.25c= 20

25 -2.50c +1.25c= 20

-1.25c +25= 20

Being constants to 1 side:

-1.25c= 20 -25

-1.25c= -5

c= -5 ÷(-1.25)

c= 4

Thus, Joe sold 4 cookies.

8 0
2 years ago
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