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3 years ago

Find the midpoint of the line segment with end coordinates of:

Mathematics

1 answer:

Kaylis [27]3 years ago

7 0

Answer:

Step-by-step explanation:

The Midpoint formula is

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ where the x's and y's come from the coordinates of the endpoints. Filling in:

$M=(\frac{-2+(-1)}{2},\frac{-4+(-5)}{2})=(\frac{-3}{2},\frac{-9}{2})=(-1.5,-4.5)$

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I will give you Brainlest if you get it right

alexdok [17]

Note that no diagram is drawn to scale.

If the diagram in the first picture is further worked upon, we have polygon ABCDE.

Note also that line AD = 18in and line MD = 10in.
This simply means the line Am = AD - MD = 8in.

We have the height of the triangle needed to solve for the area of the triangle. Area of Triangle = 1/2×b×h
Where b is length base of the triangle and h is the length of height of the triangle.
We still need b to find the Area.

Note also that two opposite sides of parallelograms are equal. This implies that line DC = line EB which is equal to 14in.
In the third image, you can see this. Half the length of the side of the parallelogram is needed. This means 14/2 = 7in.

We can now solve for the Area of the triangle.
$Area = \frac{1}{2} (b \times h)$
$Area = \frac{1}{2} (7 \times 8)$
$Area = 28$
We have the are of the triangle to be 28in. Multiply this by 3 to find the total area of all three triangles since the three triangles are identical. Thus,
Total Area of all Triangles = 28×3 = 76in

Now, find the area of the two parallelograms.
Area of parallelogram EBCD = bh

Where b is the length of the base side and h is the height.
Hence from the diagram,
$Area = 14 \times 10 \\ Area = 140$
Area of parallelogram EBCD is 140in.

Total Area of both Parallelograms will be 140 ×2= 280in since both are identical.

To find the Total Area of the tile pattern add the area of the triangles and the Parallelograms. This is 76 + 280 =356in.

Your answer is 356in.

7 0

3 years ago

To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the

AlladinOne [14]

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0

3 years ago

Fint the roots for h(x) = (2x + 3) (x - 7)

prohojiy [21]

Answer:

Step-by-step explanation:

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3 years ago

Does changing the compound inequality x > −3 and x < 3 from “and” to “or” change the solution set

Alinara [238K]

Yes. this changes it because "and" means that the solution is definately between those two. Using "or" means that the number can either be less than 3 infinitely or greater than -3 infinitely. <span />

3 0

3 years ago

Please help me! I will mark Brainliest if you answer all of these portfolio questions!

klasskru [66]

Answer:

Step-by-step explanation:

6 0

2 years ago