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Dominik [7]
3 years ago
8

What is the distance between (1,-5) and (-3,6)​

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

\large\boxed{\sqrt{137}\approx11.7}

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have two points (1, -5) and (-3, 6). substitute:

d=\sqrt{(-3-1)^2+(6-(-5))^2}=\sqrt{(-4)^2+11^2}=\sqrt{16+121}=\sqrt{137}

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
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Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The distance from the school to the library is 12 miles. The distance from the school to the park is 75% of this distance. What
Yakvenalex [24]
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Step-by-step explanation:

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In the figure, m<2 = 83, and m<21 = 68. Find the measure of each angle
zhuklara [117]

Answer:

m<1 = 97

m<2 = 83

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m<8 = 83

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m<16 =  83

Step-by-step explanation:

8 0
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