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Alexandra [31]
3 years ago
8

Find an equation for the line parallel to y = 3 x - 2 ​ y-intercept (0,5). Write the answer in​ slope-intercept form.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0
Y-5= 3(x-0)

Y-5= 3x
Y= 3x + 5


Hope this helps!
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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

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3 years ago
Is it possible to draw a triangle with numbers 5,6,11
Tatiana [17]

Answer:

No

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is a^2 + b^2 = c^2\\.  

11 is the bigger side in this case, so our formula would go like this: 5^2 + 6^2 = 11^2\\.

We now calculate to see if this is true.

25 + 36 \neq 121

Therefore, the answer is wrong.

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3 years ago
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I need help with this ASAP
vodomira [7]

Answer:

Its 0 because thats the only value not bigger than 4

Step-by-step explanation:

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A rotation is a transformation where an object move
ICE Princess25 [194]

Let's rephrase this:

Here:

There are 3 geometric transformations:

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