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3 years ago

Question 13 (2 points) Find the area of the composite figure. Help plz

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

<h2>44 units²</h2>

Step-by-step explanation:

The Pick's theorem

Let P be a polygon in the plane whose vertices have integer coordinates. Then the area of P can be determined just by counting the lattice points on the interior and boundary of the polygon!

In fact, the area is given by

$A=i+\dfrac{b}{2}-1$

where i is the number interior lattice points, and b is the number of boundary lattice points.

Look at the picture.

i = 38

b = 14

Substitute:

$A=38+\dfrac{14}{2}-1=38+7-1=44$

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N76 [4]

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

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3 years ago

Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?

Wittaler [7]

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆ $y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: }$

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☆ $y = 4x - 1$

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3 years ago

the midpoint of a horizontal line segment is at x=1 if the length of the line segment is 10.5. what absolute value equation coul

egoroff_w [7]

Answer: -4.25 ≤ x ≤ 6.25

Step-by-step explanation:

The midpoint of a segment is located at the same distance of each of the endpoints of the segment.

The midpoint is at x = 1.

The length of the segment is 10.5, if we divide it by two we have:

10.5/2 = 5.25

Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:

Xmax = midpoint + 5.25

Xmin = midpoint - 5.25

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Xmin = 1 - 5.25 = -4.25

Then this segment can be written as:

Xmin ≤ x ≤ Xmax

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natka813 [3]

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Explanation
I did 14+9 and got 23

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