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Anika [276]
2 years ago
6

Can someone do this for me please?! Just the answer pls

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0
<h2>For the number 1<u>.</u><u>.</u></h2>

<h2><u>angle </u><u>at </u><u>center </u><u>=</u><u> </u><u>2</u><u>×</u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>at </u><u>circumference</u></h2><h2><u>the </u><u>angle </u><u>at </u><u>center </u><u>(</u><u>o)</u><u> </u><u>is </u><u>equal</u><u> </u><u>to</u><u> </u><u>1</u><u>4</u><u>1</u></h2>

<u>therefore:</u>

<h2><u>1</u><u>4</u><u>1</u><u> </u><u>=</u><u> </u><u>2</u><u>x</u></h2><h2><u>divide</u><u> </u><u>both </u><u>sides </u><u>by </u><u>2</u></h2><h2><u>x </u><u>=</u><u> </u><u>7</u><u>0</u><u>.</u><u>5</u></h2>

<u>option</u><u> </u><u>(</u><u>A)</u><u>.</u>

<u>(</u><u> </u><u>the </u><u>number </u><u>2</u><u> </u><u>and </u><u>3</u><u> </u><u>questions</u><u> </u><u>aren't</u><u> </u><u>correct </u><u>)</u>

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calculeaza lungimea segmentului ab in fiecare dintre cazuri:A(1,5);B(4,5);A(2,-5),B(2,7);A(3,1)B(-1,4);A(-2,-5)B(3,7);A(5,4);B(-
Tatiana [17]

Answer:

1. 3; 2. 12; 3. 5; 4. 13; 5. 10; 6. 10

Step-by-step explanation:

We can use the distance formula to calculate the lengths of the line segments.

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

1. A (1,5), B (4,5) (red)

d = \sqrt{(x_{2} - x_{1}^{2}) + (y_{2} - y_{1})^{2}} = \sqrt{(4 - 1)^{2} + (5 - 5)^{2}}\\= \sqrt{3^{2} + 0^{2}} = \sqrt{9 + 0} = \sqrt{9} = \mathbf{3}

2. A (2,-5), B (2,7) (blue)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(2 - 2)^{2} + (7 - (-5))^{2}}\\= \sqrt{0^{2} + 12^{2}} = \sqrt{0 + 144} = \sqrt{144} = \mathbf{12}

3. A (3,1), B (-1,4 ) (green)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-1 - 3)^{2} + (4 - 1)^{2}}\\= \sqrt{(-4)^{2} + 3^{2}} = \sqrt{16 + 9} = \sqrt{25} = \mathbf{5}

4. A (-2,-5), B (3,7) (orange)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(3 - (-2))^{2} + (7 - (-5))^{2}}\\= \sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = \mathbf{13}

5. A (5,4), B (-3,-2) (purple)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-3 - 5)^{2} + (-2 - 4)^{2}}\\= \sqrt{(-8)^{2} + (-6)^{2}} = \sqrt{64 + 36} = \sqrt{100} = \mathbf{10}

6. A (1,-8), B (-5,0) (black)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-5 - 1)^{2} + (0 - (-8))^{2}}\\-= \sqrt{(-6)^{2} + (-8)^{2}} = \sqrt{36 + 64} = \sqrt{100} = \mathbf{10}

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Answer:

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