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3 years ago

What is an equation of a circle with center (2,7) and radius 4?

Mathematics

1 answer:

goblinko [34]3 years ago

8 0

Equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

In this case:

<span>center (2,7) and radius 4 so h = 2, k = 7 and r = 4

</span>Equation:

(x - 2)^2 + (y - 7)^2 = 4^2

(x - 2)^2 + (y - 7)^2 = 16

Hope it helps.

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The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale f

Lapatulllka [165]

Answer:

The coordinates of its image after dilation by a scale factor of 2 will be:

V'(12, 4)

W'(-4, 8)

X'(-6, -10)

Y'(6, -10)

Step-by-step explanation:

Given the quadrilateral VWXY

V(6, 2)

W(-2, 4)

X(-3, -5)

Y(3, -5)

A dilation by a scale factor of 2 means every coordinate of the original quadrilateral gets multiplied by the scale factor (x2).

<u>Using the formula of dilation by a scale factor of 2</u>

Dilation with scale factor 2, multiply by 2

(x, y) → (2x, 2y)

Thus, the coordinates of its image after a dilation will be:

(x, y) → (2x, 2y)

V(6,2) → (2(6), 2(2)) = V'(12, 4)

W(-2, 4) → (2(-2), 2(4)) = W'(-4, 8)

X(-3, -5) → (2(-3), 2(-5)) = X'(-6, -10)

Y(3, -5) → (2(3), 2(-5)) = Y'(6, -10)

Therefore, the coordinates of its image after dilation by a scale factor of 2 will be:

V'(12, 4)

W'(-4, 8)

X'(-6, -10)

Y'(6, -10)

8 0

3 years ago

Divide 3 1/2 divided by 1 2/3

dybincka [34]

Answer:

2 1/10=

Answer: 2.1

Step-by-step explanation:

8 0

3 years ago

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A pole, 4m high, stands, vertically, on

Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

$tan {\theta} = \frac{opposite}{adjacent}$

On substituting the values,

$ta( {30^{o}) = \frac{4}{x}$

$x = \frac{4}{tan ({30^{o})}}$

$x =\frac{4}{0.57735027}$

x = 6.93 m

6 0

3 years ago

In one revolution a circle covers a distance equal to its

DIA [1.3K]

Answer:

6 0

2 years ago

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PLEASE HELP!! if f(x)= 2x^2-11, find f(4)

Lemur [1.5K]

Answer: f(4) = 21

Step-by-step explanation:

2(4)^2-11

4^2 = 16

2(16)-11

Multiply 2 and 16

32 - 11

Subtract

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3 years ago

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