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qaws [65]
3 years ago
12

Explain how to use a coordinate plane to find the area of a rectangle with vertices (–4, 9), (–4, –3), (–1, –3), and

Mathematics
2 answers:
densk [106]3 years ago
7 0
<h2>Answer:</h2>

Sample response: Plot each point in the coordinate plane. Find the distance between points to find that the base is 3 units and the height is 12 units. Apply the area formula, A = bh. 3 x 12 = 36 square units.

  1. Plot each point on the coordinate plane.
  2. Find the base of the rectangle, 3 units.
  3. Find the height, 12 units
  4. Apply the area formula to find area equals 36 square units.
mezya [45]3 years ago
3 0

the formula for area of a rectangle is

Area = length x width

since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting

(-4,9) (-4,-3)

these points lie on the same x axis, so they create a vertical line

9-(-3) = 12

12 units is the distance between them

(-4,-3) (-1,-3)

these points lie on the same y axis, so they create a horizontal line

-1-(-4) = 3

3 units is the distance between them

now that we have the length and the width, we can find the area

A = 12 x 3

A = 36 units²

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Point B is a point of tangency. Find the radius r of OC.
Bumek [7]

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = \frac{576}{36}

r = 16 units

6 0
2 years ago
Jonah has collected 91 coins worth $7.20 in his piggy bank. his collection includes only dimes and nickels. how many dimes are t
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<span>There are 53 dimes in Jonahs piggy bank. You must use algebra to solve for a variable X as follows: x.10+(91-X).05=7.2 Solving through will yield X =53 which means 91 - 53 = 38. 53*.10 + 38*.05 = $7.20. Other methods will also work, but this is the most straight forward.</span>
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3 years ago
I would appreciate the help, please!!!
kvv77 [185]

Answer:

ASA

Step-by-step explanation:

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A random variable is called continuous if its possible values contain a whole interval of numbers.

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