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1 year ago

Please help me it's urgent

Mathematics

1 answer:

uysha [10]1 year ago

7 0

Answer: go to the website

Step-by-step explanation:

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Gina started with the circle (x−2)2+y2=16. She translated it 4 units left and 1 unit down. Then she reduced the radius by 1 unit

olchik [2.2K]

Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

→ (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

5 0

3 years ago

Lines that intersect and have only one point in common are called _____.

velikii [3]

Answer

intersecting lines

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point -3/5 and has a slope of -2

Gemiola [76]

Answer:

y = -2x - 1

Step-by-step explanation:

y = mx + b

slope = m

y = -2x + b

5 = -2x * -3 + b

5 = 6 + b

-1 = b

y = -2x - 1

Let me know if I'm wrong :)

8 0

3 years ago

A colleague has been tutoring six students in 11th grade to prepare for the ACT. This colleague has asked you to evaluate the pe

marissa [1.9K]

We have been given that a colleague has been tutoring six students in 11th grade to prepare for the ACT. Student scores were as follows: 20, 18, 16, 15, 23, 20. We are asked to find the mean of the ACT scores.

We will use mean formula to solve our given problem.

$\text{Mean}=\frac{\text{Sum of terms}}{\text{Number of terms}}$

$\text{Mean}=\frac{20+18+16+15+23+20}{6}$

$\text{Mean}=\frac{112}{6}$

$\text{Mean}=18.66666$

Upon rounding to nearest whole number, we will get:

$\text{Mean}\approx 19$

Therefore, the mean of the ACT scores is 19 and option 'c' is the correct choice.

5 0

3 years ago

Help please will mark brainliest!!!

solniwko [45]

Answer:

945

Step-by-step explanation:

8 0

3 years ago

Please help me it's urgent ​

Please help me it's urgent