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qaws [65]
4 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]4 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]4 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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Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40
valentinak56 [21]

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

8 0
3 years ago
Write the equation 5x + 4y = 10 so that y is a function of x.
Virty [35]
  5x + 4y = 10
- 5x          - 5x
          4y = -5x + 10
           4           4
            y = -1¹/₄x + 2¹/₂

The answer is D.
8 0
3 years ago
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Now Brian's family wants to take a trip to
erik [133]
Brian’s family should drive 8 hours a day to get to their destination in 3 days.
7 0
3 years ago
What are the solutions of x^2-2x+10=0
saw5 [17]

There are a few ways to solve this, the simplest of which is probably factoring. Start by finding factors of C (10) that add up to be B (-2).


fac(10) { -10, 1 ; -5, 2 }


Well, there are no factors of 10 that can add to b - so we will use the quadratic formula.


(-b +- sqrt(b^2 - 4ac)) / 2a

where a = 1, b = -2, c = 10


b^2 - 4ac = (-2)^2 - 4(1)(10) = 4 - 40 = -36

-b +- sqrt(-36) / 2a

(2 +- sqrt(-36)) / 2


sqrt(-36)

sqrt(-1 * 36)

sqrt(-1) * sqrt(36)

i * 6

6i


2 + 6i / 2 ; 1 + 3i

2 - 6i / 2 ; 1 - 3i


Solutions: 1 + 3i, 1 - 3i

8 0
3 years ago
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On field day the first grade dash is 25 meters long. The third graders is twice the distance of the first grade dash. How long i
natita [175]

Answer:

Step-by-step explanation:

first grade dash is 25 meters....the third graders is twice the distance

so if the 1st grade dash is 25 meters, then the 3rd graders is twice that...

2 * 25 = 50 meters <==

3 0
3 years ago
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