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REY [17]
4 years ago
12

What is the distance between (8, -3) and (4, - 7)?

Mathematics
1 answer:
Nimfa-mama [501]4 years ago
6 0

Answer:

distance=\sqrt{32}  , which agrees with answer "c" in your list of possible options

Step-by-step explanation:

Use the formula for distance between two points (x_1,y_1), and (x_2,y_2) on the plane:

distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance= \sqrt{(4-8)^2+(-7-(-3))^2} \\distance= \sqrt{(-4)^2+(-4)^2} \\distance=\sqrt{16+16}\\distance=\sqrt{32}

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4 years ago
4(-3x-5)-(10+4x) simplify
bixtya [17]

Answer:

-16x - 30

Step-by-step explanation:

4(-3x - 5) - (10 + 4x) = 4*(-3x) - 4*5 + (-1)*10 + (-1)*4x

                               = -12x - 20 - 10 - 4x   {add like terms}

                               = -12x - 4x - 20 - 10

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7 0
4 years ago
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If the circumference of a circle is changed from 9 cm to 3 cm, how will the diameter change?
klemol [59]

<u>Answer:</u>

If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.

<u>Solution:</u>

Given, the circumference of a circle is changed from 9 cm to 3 cm,  

We have to find how will the diameter change from the given equations?  

We know that, diameter = 2 \times radius and circumference = 2π \times radius.

\text { Now, circumference }=\pi \times(2 \times \text { radius }) \rightarrow \text { circumference }=\pi \times \text { diameter }

\text { At initial stage } \rightarrow \text { circumference }=9 \rightarrow \pi \times \text { diameter }=9 \rightarrow \text { diameter }=\frac{9}{\pi}

\text { Now, after change } \rightarrow \text { circumference }=3 \rightarrow \pi \times \text { diameter }=3 \rightarrow \text { diameter }=\frac{3}{\pi}

\text { Now, for finding change in factor }=\frac{\text { new diameter }}{\text { old diameter }}=\frac{\frac{3}{\pi}}{\frac{9}{\pi}}=\frac{3}{9}=\frac{1}{3}

Hence, the diameter decreases by a factor of 3.

7 0
3 years ago
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