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morpeh [17]
3 years ago
5

Find the distance between the two points (-2,-6) and (0,5).

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0

Answer: OPTION B

Step-by-step explanation:

You can find the distance between two points by using the following formula:

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

Given the points  (-2,-6) and (0,5), you can identify that:

x_2=-2\\x_1=0\\\\y_2=-6\\y_1=5

Therefore, substituting values, you get that the distance between those points is:

 d=\sqrt{(-2-0)^2+(-6-5)^2}\\\\d=5\sqrt{5}

lapo4ka [179]3 years ago
7 0

Answer:

The correct answer is option A.  √5

Step-by-step explanation:

<u>Points to remember</u>

<u>Distance formula</u>

The distance between two points (x1, y1) and (x2, y2) is given by

Distance = √(x2 - x1)² + (y2 - y1)²]

<u>To find the distance between given points</u>

Here (x1, y1) = (-2, 6) and (x2, y2) = (0, 5)

Distance = √(x2 - x1)² + (y2 - y1)²]

 = √(0 -  -2)² + (5 - 6)²]

 =  √(2² + 1²)]

 = √(4 +1)

 = √5

The correct answer is option A.  √5

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What is the value of b that makes the lines, given by 3x-y=4 and 2y+4bx=1, perpendicular?
USPshnik [31]

b = 1/6

Explanation:

3x-y=4 ...1st equation

Rewriting in slope- intercept form:

y = 3x - 4

2y+4bx=1

Rewriting in slope- intercept form:

2y = -4bx + 1

y = -4bx/2 + 1/2

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Slope of the 1st equation = 3

m = 3

reciprocal of 3 = 1/3

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we equate both slope:

negative reciprocal of 3 = -4b/2

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cross multiply:

-1(2) = 3(-4b)

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Divide both sides by -12:

-2/-12 = -12b/-12

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6 0
1 year ago
Gueguen and Jacob asked waitresses to wear different colored T-shirts on different days for a six-week period and recorded the t
jarptica [38.1K]

Answer:

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Dependent variable is the variable that changes when the independent variable changes.

In other words, when the independent variable is varied, the dependent variable changes. The dependent variable is the effect or outcome of the manipulation of the independent variable.

In the study referred to in the question above, the amount of tips given to waitresses is dependent on the color of the T-shirt the waitresses wear.

Therefore, the dependent variable is T-Shirt color, while the independent variable is the amount of tips given.

5 0
3 years ago
Grace is at a bookstore with $75 to spend. She has plans to buy a reference book that cost $18 and some novels that cost $12 how
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Answer:

Step-by-step explanation:

12x+18=75

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Divide by 12.

57/12=4.75

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7 0
3 years ago
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