All categories

3 years ago

The steps for determining the center and radius of a circle using the completing the square method are shown below:

1 answer:

7 0

The answer is option c.
That is, the wrong step in step 6. It was written that the center of the circunference is the point (2.1). However, the general equation of a circumference is:
(X- (a)) ^ 2 + (Y- (b)) ^ 2 = r ^ 2
Where the point (a, b) is the center of the circle.
So for this case the point for the center is: (-2, -1)

You might be interested in

Mia found the area of a polygon The area is 32 square cm.

solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

$A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle we have:

$A_{r} = bh = 6 cm*4 cm = 24 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

$A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2}$

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

$A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}$

This polygon does have an area of 32 cm².

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!

8 0

2 years ago

Work out the balance for £1500 invested for 2 years at 3.7% per annum

Zigmanuir [339]

I am assuming its compound interest:-

Balance = 1500(1 + 0.037)^2 = £1613.05 answer

8 0

2 years ago

Pls help i will give brainliest

Novosadov [1.4K]

<h3>Answer: -a > -b</h3>

Explanation:

Let's go over an example.

We'll have a = 1 and b = 7 which makes a < b true. Feel free to pick your own favorite pair of numbers such that b is larger than 'a'.

The corresponding opposites are: -a = -1 and -b = -7

The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b

Sure enough, -1 > -7 is a true statement. Use a number line to see this. I recommend a vertical number line.

In short, going from a < b to -a > -b means we flip the signs of each term, and we flip the inequality sign as well.

4 0

2 years ago

Jack has a pin number that he uses to access his bank account. his code consists of 4 different numbers from 0 to 9. what is the

Tamiku [17]

For each choice of the first two digits you have 10<span> choices for the third digit. Thus you have 10x10x10 = 1000 choices for the first three digits. Finally you have </span>10<span>choices for the fourth digit and thus there are 10x10x10x10 = </span>10 000<span> possible 4 digit combinations from </span>0-9<span>.</span>

5 0

2 years ago

Read 2 more answers

I need help plzz

sesenic [268]

Answer:

3200

Step-by-step explanation:

8 0

2 years ago