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3 years ago

What is the center and radius of this circumference? 5x²+5y²=20

1 answer:

6 0

The equation of a circle with a center of (h,k) with a radius of "r" is
$(x-h)^2 +(y-k)^2=r^2$

looking at the given equation,
5x^2 +5y^2=20
divide 5 to both sides to get
x^2+y^2 =4

now compare that to the equatio of a circle shown above

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How many x or y intercepts can a quadratic function have?

gladu [14]

Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

4 0

3 years ago

Review

Ahat [919]

Answer: $\bold{a)\quad 51, 54, 57\qquad a_n=a_{n-1}+3}$

$\bold{b)\quad 250, 625, 1562.5\qquad a_n=(2.5)a_{n-1}}$

Step-by-step explanation:

a) This is an arithmetic sequence where 3 is added to the previous term.

48 + 3 = 51

51 + 3 = 54

54 + 3 = 57

The recursive formula for this sequence is: $a_n = a_{n-1}+3$

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b) This is a geometric sequence where 2.5 is multiplied to the previous term.

100(2.5) = 250

250 (2.5) = 625

625(2.5) = 1562.5

The recursive formula for this sequence is: $a_n=(2.5)a_{n-1}$

5 0

3 years ago

What is the value of X?

matrenka [14]

The two given angles are vertical angles and equal each other:

3x + 50 = 6x -10

Now solve for x:

Subtract 3x from both sides:

50 = 3x -10

Add 10 to both sides:

60 = 3x

Divide both sides by 3

X = 20

5 0

3 years ago

Lisa's home is currently worth $152,000. When she purchased it five years ago, it was worth $180,000.

Charra [1.4K]

Answer:

There was a $15\frac{5}{9}$ % decreas

8 0

3 years ago

Solve each inequality. Graph the solution on a number line.

svetoff [14.1K]

Answer:

n>2 2/3

Draw a filled dot at a little more than 2 1/2 and continue the line to the right.

Step-by-step explanation:

Subtract 1/3 from both sides to get

2 2/3

Flip the inequality

n> 2 2/3

I hope this helps!

4 0

3 years ago