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2 years ago

Please help me solve this

Mathematics

1 answer:

N76 [4]2 years ago

5 0

Answer:

area of the square=18×18

=324 cm²

area of the circle=πr²

=3.142×9² (radius=18cm/2=9cm). =254.502 cm²

area of the shaded region=324-254.502

=69.498 cm²

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Tpy6a [65]

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3 years ago

What's the midpoint of a line segment joining the points (5, –4) and (–13, 12)?

Vikki [24]

Answer:

The midpoint of the line segment is located at (-4, 4).

Step-by-step explanation:

We're given the coordinate points of a line that can help us find the midpoint.

The midpoint formula for a line is written as:

$\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)$

Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.

In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.

Therefore, we can label our two coordinates:

x₁ = 5
y₁ = -4

x₂ = -13
y₂ = 12

Now, we can place these values into the midpoint formula and simplify to find our midpoint.

Recall that the midpoint formula is:

$\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)$

Therefore, let's substitute these values.

$\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}$

Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.

8 0

2 years ago

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2 years ago

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marta [7]

Answers + Explanation:

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if you know some number + 7 is 10, you know that number must be 3.

so, x = 3

the other way you can solve this would be:

x + 7 = 10

subtract 7 from both sides of the equation

x + 7 - 7 = 10 - 7

x = 3

2. Use the same strategy:

x - 8 = -5

add 8 to both sides of the equation

x - 8 + 8 = -5 + 8

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subtract 3 from both sides of the equation

x + 3 - 3 = 6 - 3

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subtract 6 from both sides of the equation

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2 years ago

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