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3 years ago

Find the perimeter of abc with vertices A(-2, 1), B(1, 1), and C(-2,5)

Mathematics

1 answer:

Vladimir [108]3 years ago

6 0

Answer:

Step-by-step explanation:

add all sides to find perimeter

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Find BD. help me pls

Anna [14]

Answer:

Step-by-step explanation:

We can see that Ar is the perpendicular bisector of chord BD. Since A is the center of the circle, AR is the radius of the circle, which is 10 (6+4)

Next, we can see that when we connect point A to point D, it is also a radius. Thus, AD is also equal to 10 as the radius of the circle remains the same.

Using Pythagoras theorem, a^2 + b^2 = c^2, we can make a right angled triangle of ACD.

AC = 6 = a

CD = ? = b

AD = 10 = c

10^2 = 6^2 + b^2

b^2 = 10^2 - 6^2 = 64

b = CD = 8

Now, since Ar is the perpendicular bisector of chord BD, BD = CD x 2

BD = 8 x 2 = 16

5 0

1 year ago

The variables y and x have a proportional relationship, and y = 25 when x = 60.

jeka94

Answer:

Step-by-step explanation:

A. x = 25

4 0

3 years ago

Read 2 more answers

Write the standard form of the equation of the circle with the given characteristics.

SOVA2 [1]

<h2>Circle Equations</h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

(h, k) is the center; and
r is the radius

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

Answer:

The equation of the circle is x² + y² = 4.

Wxndy~~

7 0

2 years ago

The sides of a rectangle are enlarged by a scale factor of 2. Write

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4

5 0

1 year ago

Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi

ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

Solution:

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

Therefore, we can frame a equation as,

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

$3 \times d + 10 \times p = 54.50$

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

$9 \times d + 5 \times p = 57.25$

9d + 5p = 57.25 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

Subtract eqn 2 from eqn 3

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

Substitute p = 4.25 in eqn 1

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0

3 years ago