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Arlecino [84]
2 years ago
9

Which number is farthest from 0? 8, -3, -12, 5

Mathematics
1 answer:
Vaselesa [24]2 years ago
6 0

Answer:

-12

Step-by-step explanation:

because it take 12 number to get to -12

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Need a little help please ​
Maksim231197 [3]

Answer:

\sqrt{1314}

Step-by-step explanation:

a²+b²=c² so: 33²+15²=x²

1089+225=x²

1314=x²

take the square root of both sides

36.249=x or

\sqrt{1314 }

=x

8 0
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
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Norma-Jean [14]

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

8 0
2 years ago
Read 2 more answers
Due by the end of the day please help, 15<br> points
liberstina [14]

We have an inscribed angle here. Angle YXZ is an inscribed angle.

Angle YXZ can also be expressed as simply angle x but I will use angle YXZ.

Angle YXZ = (1/2)(arc YZ)

Angle YXZ = (1/2)(144°)

Angle YXZ = 72°

Done!

3 0
3 years ago
What is the solution set of 12x^2-9x=0??
netineya [11]
12x²-9x = 0
3x(4x-3)=0
4x-3=0
4x=3
x=3/4
so either x = 0  or x = 3/4
6 0
3 years ago
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