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AleksAgata [21]
3 years ago
7

How will you find the distance between these two points using Pythagorean theorem?

Mathematics
1 answer:
kow [346]3 years ago
3 0
R represents radius or the distance between two points, the pythagorean expression will be
r² = Δx² + Δy²
Δ means the change, Δx means the change of x, Δy means the change of y

Given:
(x₁,y₁) = (-5,-1)
(x₂,y₂) = (0,2)

Input the numbers to the expression
r² = Δx² + Δy²
r² = (x₂ - x₁)² + (y₂ - y₁)²
r² = (0 + 5)² + (2 + 1)²
r² = 5² + 3²
r² = 25 + 9
r² = 34
r = √34

The distance is √34 unit length
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A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the
zloy xaker [14]

<em><u>Complete Question:</u></em>

A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.

6H+ 4S> 74

This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?

<em><u>Answer:</u></em>

The least number of sun birds is 7

<em><u>Solution:</u></em>

Given inequality is:

6H + 4S > 74

Where,

H is the number of hummingbirds

S is the number of sunbirds

This year, 8 hummingbirds pollinated the colony

Substitute H = 8 in given inequality

6(8) + 4S > 74

48 + 4S > 74

Subtract 48 from both sides

48 + 4S - 48 > 74 - 48

4S > 26

Divide both sides by 4

S > 6.5

Hence the least number of sun birds is 7

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3 years ago
If the mean of the data set is 84 points, find Haruka's final exam score in chemistry,
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The answer is 45 because if you divide 84 and 2 you get 42 and then add 3

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Focus on the regression line. Notice how (0,90) and (1,75) are on this line. Compute the slope of the line through those points

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Answer:

A.) -5

Step-by-step explanation:

<em>Slope Formula --->     </em>m = \frac{y_2 - y_1}{x_2 - x_1}       <em>m = slope</em>

m = \frac{2 - (-3)}{-2 - (-1)}

<em>Eliminate negatives:</em>

m = \frac{2 + 3}{ -2 + 1}

<em>Solve:</em>

m = \frac{5}{-1}

<em>Simplify:</em>

m = -5

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Intruduction to a scientific notation with negative exponenents.
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