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3 years ago

If de has endpoints D(-1,6)and E(3,-2),then the midpoint M of DE lies in Quadrant1

1 answer:

7 0

$M(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\M(\frac{-1 + 3}{2}, \frac{6 + (-2)}{2}) \\ M(\frac{2}{2}, \frac{6 - 2}{2}) \\ M(1, \frac{4}{2}) \\ M(1, 2)$

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A circle is to be cut from a 12 ft square board. What will be the area, in square feet, of the inscribed circle? Leave your answ

Kazeer [188]

Answer:

3π sq.feet

Step-by-step explanation:

Area of the square = L²

L is the length of the square

Given

Area of the square = 12 ft square

12 = L²

L = √12

L = 2√3 feet

Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;

Area of the circle = πd²/4

Area of the circle = π(2√3)²/4

Area of the circle = 12π/4

Area of the circle = 3π sq.feet

5 0

3 years ago

What’s the difference of 1/4 and 1/5?

vfiekz [6]

1/4 is 25% or 0.25

1/5 is 20% or 0.20

So the difference between the two is 5%, 0.05, or 1/20.

7 0

3 years ago

Please helppppppppppppppppppppppppppppp

MissTica

Answer:

It is exponential

3 0

2 years ago

Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total pu

Alika [10]

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) $\cdot$ 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

$(3x + 7.5) \cdot 106\% = $126.81$

$(3x + 7.5) \cdot \frac{106}{100} = $126.81$

$3x + 7.5 = $126.81 \cdot \frac {50}{53}$

$3x = $119.6 - 7.5$

$3x = 112.1$

$x \approx \$37$

Hope this helped!

6 0

3 years ago

Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below

Lyrx [107]

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the coordinates above:

$slope = \frac{-2-1}{2-(-1)}$

Simplify:

$slope = \frac{-3}{3} = -1$

Thus, the rate of change between the points is -1.

8 0

2 years ago