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Ber [7]
2 years ago
10

Use the diagram to determine which statement is true

Mathematics
1 answer:
Dahasolnce [82]2 years ago
7 0

The answer is d.

Finding area of ABCD :

  1. Find side length
  • side = √3² + 4²
  • side = 5

    2. Apply formula to find area

  • area = 5²
  • area = 25

Finding area of GHIA :

  • area = 4²
  • area - 16

Finding area of DEFG :

  • area = 3²
  • area = 9

Now, let's see whether is true.

  • Area (ABCD) - Area (GHIA) = Area (DEFG)
  • 25 - 16 = 9
  • 9 = 9

∴ Hence, it is proved √

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Q
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Answer:

y = \frac{1}{2} x+7

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

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Simplify:

10 - 4 = 6

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\frac{6}{12}=\frac{1}{2}

The slope is \frac{1}{2}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = \frac{1}{2}(6)+b

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

y = \frac{1}{2} x+7

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