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2 years ago

which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?

Mathematics

1 answer:

ANEK [815]2 years ago

5 0

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

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The equation of a proportional relationship is of the form y=kx, where k is a positive number, and the graph is a line through (

laila [671]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The graph of a line with negative slope goes down to the right. The line would still go through the origin. An example is attached.

5 0

3 years ago

Find the parabola through

Anni [7]

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

= - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

= - 3(x²

3 0

3 years ago

Which shows a correct set of steps for adding 614 and 3516?

bonufazy [111]

Answer:

Option A

Step-by-step explanation:

The unit volume explains it all.

Volumes are measured in units of length cubed. This also is the volume occupied by unit cubes.

By unit cubes, I meant, view the photo above

The volume of an object's says, how many of these cubes will fill that object.

It may not necessarily by a whole number.

So, the answer is Option A

6 0

3 years ago

Read 2 more answers

A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?

MAXImum [283]

Answer: A, because the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ . So, if the point of the center is $(5,7)$ and the radius $2$ , then on the equation should be changed as negative and the radius should be multiplied as $4$ , which is $(x-5)^2+(y-7)^2=4$

6 0

3 years ago

Write five equivalent expressions that are equivalent to:<br> 120 + 3.6

MAVERICK [17]

Answer:

*61.8 × 2

*10.6 + 113

*247.2 divided by 2

*203.6 - 80

*111.6 + 12

3 0

3 years ago