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Stolb23 [73]
3 years ago
10

What is the distance between the points plotted below? If necessary, round your answer to two decimal places.

Mathematics
2 answers:
34kurt3 years ago
8 0
(-1,1) (6,9)
distance = root (x1-x2)²+(y1-y2)²
so root (-1-6)²+(1-9)²= root 113 or 10.6 ≈11
the answer is B. 11.18 units
Over [174]3 years ago
4 0
Distance = √(x₂-x₁)² + (y₂-y₁)²
= √(6-1)² + (9-(-1))²
= √5² + 10²
= √25 + 100
= √125
= 11.18 units

In short, Your Answer would be Option B

Hope this helps!
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Dahasolnce [82]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (3, 6)

m = \frac{6-2}{3-3} = \frac{4}{0}

Since division by zero is undefined then the slope of the vertical line is undefined.

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3 years ago
A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and
goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

F=-kx

where;

F= force applied on the spring

x = the extension on the spring

k= the spring constant which varies in spring.

The question will need you to calculate the extension on the springs A and B then compare the values obtained.

<u>In spring A</u>

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x

Here the spring extension is 15 m

<u>In spring B</u>

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x

Here the extension on the spring is 12 m

<u>Compare</u>

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

=15m-12m=3m

5 0
3 years ago
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Deffense [45]

Answer:

an expression is numbers, symbols and operators (such as + and ×) grouped together that show the value of something and a equation is an equation says that two things are equal. (7+2=9) this is an equation

7 0
3 years ago
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Mean : The average of all the data in a set.

Median : The value in a set which is most close to the middle of a range.

Mode : The value which occures most frequently in a data set.

12,9,12,11,10,18,7,19,13,19

Mean = 13 (Average)

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Oduvanchick [21]

Answer:

either a or c

Step-by-step explanation:

im sorry if they are both incorrect

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